The Second Round Of The Bob Willis Trophy

A look at goings on in the Bob Willis Trophy

INTRODUCTION

The second round of the Bob Willis Trophy has by and large produced another fine set of games. In this post I look at developments in these matches.

THE BOB WILLIS TROPHY

The game between Northamptonshire and Somerset ended yesterday, with Northants subsiding to a heavy defeat. Jamie Overton collected four wickets in each innings for Somerset, while 35 of Northants’ first innings tally of 67 came from Ben Curran, youngest of the three Curran brothers. None of the other matches have ended yet, the situations being:

  • Worcestershire v Glamorgan – Worcs made 455-8 from the 120 overs that is the maximum length of time a first innings is allowed last in this competition. Glamorgan are 305-6 after 102 overs.
  • Yorkshire are 135-3 in their second innings against Nottinghamshire, which gives them a lead of 44 with seven wickets to fall.
  • Middlesex began their second innings against Hampshire with a deficit of 44 and are now 124-3.
  • Leicestershire are 85 behind Derbyshire with six second innings wickets standing.
  • Kent and Sussex are involved in an extraordinary game at Canterbury. Sussex made 335 in the first innings, to which Kent responded with 530-1 from 120 overs, a lead of 195. There were double centuries for Jordan Cox (238 not out) and Jack Leaning (220 not out), who shared a partnership of 423 unbroken for the second wicket. Sussex are now 18-1 in their second innings. Only three higher innings totals for only one wicket have ever been recorded at first class level – 561-1 declared for Karachi Whites v Quetta, 555-1 declared for Yorkshire v Essex and 549-1 declared for Rhodesia.
  • Gloucestershire are 59 runs ahead of Warwickshire with seven second innings wickets standing.
  • Durham conceded a first innings advantage of 128 against Lancashire and have only cleared half of that off while losing seven wickets.
  • A great combined bowling effort from Jamie Porter (right arm medium fast) and Simon Harmer (off spin) gave Essex a first innings lead of 75 over Surrey, and Essex are currently 165-4 in their second innings. Porter now has 335 first class wickets at 24 each. The only knight of the realm currently playing first class cricket scored 42 in each Essex innings. Varun Chopra has just tossed his wicket away for 39 to make it 167-5. This brings together the long and short of current Essex cricket – Paul Walter at 6’7″ is joined by Adam Wheater who is a full foot shorter – not the biggest difference in a partnership ever seen – I have seen a picture of a discussion between batting partners Joel Garner (6’8″) and Alvin Kallicharran (5’4″), while for the ultimate ‘long and short’ of top level cricket should it happen would be a partnership between Mohammad Irfan and Poonam Yadav!

In other cricket news Jimmy Anderson has indignantly denied claims that he is considering retirement, saying that he is still targeting another tilt at the old enemy in the 2021-2 series while also acknowledging that he did not bowl well in the recently concluded test match.

SOLUTION TO MY LAST NEWS

I set this yesterday:

Pinwheel

Here is Pall Marton’s published solution:

Sol

PHOTOGRAPHS

My usual sign off…

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England’s Victory

Looking at the turnaround in the test match at Old Trafford, plus a few other bits.

INTRODUCTION

The main focus of this post is the opening test match against Pakistan at Old Trafford, with a brief glimpse at the second round of fixtures in the Bob Willis Trophy as well.

FROM THE JAWS OF DEFEAT

England’s fightback in this match began on Friday evening, when they reduced Pakistan’s second innings to 137-8. Although it did not take very long yesterday morning for the last two wickets to fall, 32 runs were accrued from the 3.2 overs for which Pakistan batted. This left England needing 277 to win, and at first, as wickets fell steadily it looked very unlikely. When Pope got out out to a brutal ball to make it 117-5 it seemed a matter of when, not if. At that point Chris Woakes with seven single figure scores in his last eight test knocks came in to join Jos Buttler who had had a stinker of a match up to that point. Both players played their shots, recognizing that taking the attack back to Pakistan was the only chance. As the partnership developed Pakistan became a little ragged, although nerves also kicked in for the England pair and progress slowed. Buttler fell for 75 with just over 30 still required, and England sent in Stuart Broad, known as a quick scorer, with the aim of making sure that the second new ball was not a serious factor. The ploy worked, and by the time the new ball became available the target had been reduced to 13. In desperation Pakistan put on a fast bowler at one end but kept Yasir Shah going at the other. Broad was out with England a boundary away from victory and Bess survived the remainder of the over. Woakes edged the first ball of the next over through the slip region for four and England were home by three wickets. Woakes had scored 84 not out, going with 19 in the first innings and total match figures of 4-54. In view of the result there was no other candidate for Man of the Match.

There has only been one occasion when an England no7 has scored more in a 4th innings run chase – at The Oval in 1902 when Gilbert Jessop came in with the team 48-5 in pursuit of a target of 263 and blasted 104 in 77 minutes. Woakes’ performance was more reminiscent of George Hirst’s effort in that match – five wickets with the ball and scores of 43 and 58 not out.

ENGLAND PLAYER RATINGS

  1. Rory Burns – 4 – the opener failed twice in this match.
  2. Dominic Sibley – 6 – one long innings and one failure with the bat, also a superb unassisted run out in the field,
  3. Joe Root – 6 – not many runs for the skipper, but he led the side well, and his promotion of Broad to cater for the specific circumstances of the second innings was an excellent decision.
  4. Ben Stokes – 6 – failed with the bat, but although not fully fit to bowl took a hand at the bowling crease in England’s hour of need and bagged a wicket.
  5. Ollie Pope – 7 – a magnificent knock in the first innings, when it looked like he was facing a different set of bowlers to everyone else, and the delivery that got him was all but unplayable. Also played a few decent shots in the second dig before fetching another ‘jaffa’.
  6. Jos Buttler – 4 – a horror show behind the stumps, including missing a chance to see the back of Shan Masood for 45 (he went on to 156) and several other howlers, a gritty first innings batting effort, and a fine effort in the second innings, but still even after that knock in overall deficit for the match.
  7. Chris Woakes – 9 – a magnificent match for the under-rated all rounder. He is now indispensable in England (in some other parts of the world where the combination of the Kookaburra ball and the different atmospheric conditions effectively eliminates swing he is a lot less of a player) and his Man of the Match award was thoroughly deserved.
  8. Dominic Bess – 5 – bad wicket keeping caused him to miss out on several wickets, but in the second innings with the ball definitely turning he should have done better than he did.
  9. Jofra Archer – 5 – an ordinary game for the express bowler.
  10. Stuart Broad – 7 – bowled reasonably, played two splendid cameo innings.
  11. James Anderson – 5 – the veteran was unimpressive by his own standards, though respectable by anyone else’s.

These ratings mostly look low for players in a winning side and that is for a good reason – Pakistan bossed this game through its first two innings, and England were fortunate to emerge victorious.

THE REST OF THE SERIES

News has just emerged that Stokes is heading to New Zealand for family reasons and will not play in the remaining matches of the series. Buttler cannot continue as keeper, the question being whether you think he can justify being picked purely as a batter. I personally do not and would leave him out. My chosen line-up from those available would be Burns, Sibley, Crawley, *Root, Pope, +Foakes, Woakes, Bess, Robinson, Archer, Broad. Anderson I think needs to be rested, and I opt for Robinson as his replacement. If Buttler’s selection is non-negotiable he gets the nod at six as a specialist batter, and Robinson misses out. Bess needs a good match sooner rather than later but I would not want to be without a front line spin option.

THE BOB WILLIS TROPHY

The second round of matches in this competition are well underway. Worcestershire scored 455-8 against Glamorgan, who are 27-0 in reply. Yorkshire managed 264 in their first innings and Notts are 140-4 in reply. Northants v Somerset has seen some extraordinary happenings – Somerset made 166 in the first innings, Northants were then bowled out for 67, and Somerset were at one point 54-6 in their second innings before recovering to reach 222, Northants are 5-0 in their second innings. Middlesex made 252 against Hampshire, who are 129-3 in reply. Leicestershire managed 199 against Derbyshire who are 235-3 in response. Sussex made 332 against Kent who are 131-1 in response. Gloucestershire scored 210 all out v Warwickshire who are 73-3 in reply. Durham were all out for 180 against Lancashire, who are 138-4 in response. Finally, Essex scored 262 in their first innings, and Surrey are 81-4 in response.

SOLUTION AND NEW TEASER

I posed this problem from brilliant in my last post:

Venn Rectangles

The answer is 216, as shown in this published solution by Pall Marton:

PM

Here is another teaser, this one tangentially connected with sudoku:

Pinwheel

This one is not as hard as the five dagger rating suggests, but it is quite challenging. Solution in my next post.

PHOTOGRAPHS

My usual sign off…

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Damselflies have been out in force, as these remaining pictures show. They are tricky in two ways – actually capturing them on camera, and editing the shots to best effect.

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Pakistan In Control In The Test Match

A look at developments in the test match, some mathematics and plenty of photographs

INTRODUCTION

The series opener between England and Pakistan is now into its third day of play. This post looks at developments in that match so far.

THE PAKISTAN INNINGS

A weather hit opening day ended with Pakistan two down, Babar Azam already past 50 and Shan Masood not far short. England bowled well on the second morning but did not get full benefit for their efforts in that department as they were badly let down by Jos Buttler who had an absolute nightmare behind the stumps. Post lunch England bowled poorly, and Masood cashed in, being well supported by Shadab Khan. Masood eventually reached 156 before his resistance was ended. Pakistan tallied 326 in total for their innings, a score that looks very good on this pitch.

ENGLAND’S RESPONSE

England were soon 12-3 in reply, with both openers and Stokes out cheaply. Root batted a long time but did not score many, and Buttler was just able to survive to the close after Root’s dismissal. At the end of day 2 England were 92-4, with Pope who had looked a class above anyone else in the order approaching a 50. This morning Pakistan bowled superbly and England did well to get through the opening session for the loss of only one wicket – Pope got an absolute beauty. Woakes was hit by a bouncer but resisted through to lunch in company with Buttler. Early in the afternoon session Buttler has been bowled by leg spinner Yasir Shah for 38 to make it 159-6. Bess will be next man in. Taking into account Buttler’s errors with the gauntlets a generously inclined assessor would now say that he is only in a double-figure rather than a triple-figure deficit for the match. Stokes’ unfitness for bowling means that England have little batting left – Woakes is more bowler than batter (though his record in England specifically is excellent), Bess can handle a bat, but against an attack equipped with serious pace and quality wrist spin (more difficult to handle than finger spin) little can be hoped for, much less expected, from Broad, Archer and Anderson. This Pakistan team look to be made of sterner stuff than the West Indies – Masood’s ton was his third in as many tests, while Azam’s innings was a magnificent performance, and his record suggests that he deserves to be bracketed with Kohli, Smith and Williamson and placed ahead of the current version of Root as a batter. The pace bowling, with a left arm quick in Shaheen Afridi, a right arm quick in the person of 17 year old Naseem Shah,  and an excellent exemplar of the steady medium-fast bowler in Mohammad Abbas looks superb. Yasir Shah with his leg spin and the second leg spinner Shadab Khan whose bowling has not yet been called on are likely to play an ever increasing role as the match goes on, and Yasir Shah has already accounted for a couple of wickets, Root yesterday as Pakistan’s keeper demonstrated that it is perfectly possible to make dismissals off a spin bowler on this pitch and Buttler today, bowled through the gate, once again failing to navigate his personal ‘Bermuda triangle’ which is located between 21 and 50. Ben Foakes has a first class batting average of 38 (having played just over 100 matches at that level – a very impressive record for someone for whom batting is the second string of the bow) and is also the best pure keeper in the country, and various young keepers are beginning to establish themselves at county level and would also be more deserving of the test gauntlets than Buttler, though my own feeling is that Foakes deserves an extended run as England’s acknowledged no1 test keeper before a youngster is blooded. Yasir Shah has nabbed a third wicket, that of Bess, while I was writing this. Archer has been sent in at no9, ahead of Broad and Anderson, and England need something major from Woakes backed by the tail – with the pitch already helping the bowlers quite a bit anything approaching a major deficit will be insuperable, and at the moment that is exactly what England will be facing.

A SOLUTION AND A NEW PROBLEM

I offered this problem from brilliant up in my previous post:

No multi-choice here (this is much too easy for that), but a bonus challenge: part 1) if there was a third square of the same size but divided into 49 smaller squares shaded in similar fashion which would have the largest shaded area, and part 2)what is the general rule relating the number of squares into which the big square is divided and the proportion of it that ends up shaded?

The first shape contains nine squares of which five are shaded, while the second contains 25 squares of which 13 are shaded. 5/9 = 0.55…, while 13/25 = 0.52, so the first shape has a greater shaded area. The 7X7 square would have an even smaller proportion of its area shaded – 25/49 = 0.51. The general rule is that the greater the number of squares the shape is divided into the closer the shaded area approaches to half the total area, while always remaining just above that limit.

Here is another problem from brilliant:

Venn Rectangles

Yasir Shah has just collected his fourth wicket, that of Woakes to make it 170-8, and England are definitely in the mire.

PHOTOGRAPHS

My usual sign off…

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I gave these tomato plants a thorough watering this morning, mindful of the fact that extreme heat was forecast for later in the day (and has eventuated).

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This is a comma butterfly with its wings closed – opened out is orange and black,

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Cricket Back With A Vengeance

Some thoughts on the Bob Willis Trophy, a sensational ODI and the start of a test match. Some mathematics, an important petition and some photographs.

INTRODUCTION

This post looks back briefly at the first round of Bob Willis Trophy fixtures, for longer at yesterday’s incredible ODI and casts an eye over what is happening in Manchester.

BOB WILLIS TROPHY – EIGHT
DEFINITE RESULTS, ONE DRAW

In addition to the three teams who recorded wins before I reached the end of yesterday’s post, five other teams ultimately achieved victories in the first round of the Bob Willis Trophy. The odd game out was the game between Northamptonshire and Warwickshire, where Northamptonshire having escaped from a very difficult situation declined to make a game of it, and declared at 507-6 in their second innings after which the teams shook hands on a draw. Essex beat Kent by two wickets, Middlesex beat Surrey by 190 runs, bowling them out for 123 in the final innings. Worcestershire beat Gloucestershire by eight wickets. Leicestershire were set to score 150 off 17 overs by Lancashire and did it with eight balls to spare. Derbyshire were set 365 in the fourth innings by Nottinghamshire, and 299-7 it looked like they were either going to be bowled out or just hold out for a draw. However, the eighth wicket pair not only pulled off the great escape, they snatched the win off the last possible ball of the game. These outcomes bear all the hallmarks of a thoroughly absorbing set of county matches, but their conclusions were all overshadowed by…

AN ODI TO REMEMBER

It is often the case that limited overs games do not remain in the memory for any longer than they take to play, but often does not equal always, and most general rules have exceptions. Yesterday’s game between England and Ireland was precisely such a game. England batted first, Roy and Bairstow both failed, while Vince added to his considerable oeuvre of elegant miniatures, once more failing to produce a full scale masterwork. At 44-3 England looked to be in deep trouble, but Tom Banton produced his first ODI 50 at a vital time, skipper Morgan scored a majestic hundred and the lower order produced some useful runs. England eventually tallied 328, which looked enough for them to defend. An early wicket did not augur well for Ireland either, but then Paul Stirling and Andrew Balbirnie produced the best batting of the day to get Ireland within range. Both fell before it was quite a done deal, leaving the veteran Kevin O’Brien and the 20 year old Harry Tector together for the closing stages. It ultimately came down to eight needed off the final over, which Saqib Mahmood accepted responsibility for bowling. Tector hit a four, Mahmood bowled a no-ball and suddenly it was three needed off four balls. The first of those balls was a dot, but Tector then scored two off the third to last delivery to level the scores and took a single of the penultimate ball of the game to take the victory and ten points in the ODI Super League for Ireland. Although it went right down to the wire Ireland looked in control for most of their batting innings and any result other than the actual one would have been a travesty of cricketing justice. Well played Ireland – or if you prefer: D’imir go maith, Éire!

Plenty more will be seen of this Irish side, especially Harry Tector and Curtis Campher, the latter named of whom had a fine debut series. Most of the England side too will feature again, but Moeen Ali and James Vince are both in serious jeopardy – Moeen cannot buy a run at present and his bowling is not sufficient to command a place in its own right while Vince is a player of fine shots who never seems to play a major innings, and although he bowled three overs yesterday he is not a serious bowler, while Banton’s runs yesterday came although he was batting out of position – he normally bats at or very close to the top of the order.

THE TEST MATCH AT MANCHESTER

Another England team is in action between today and Sunday in Manchester, playing the first match of a three match test series against Pakistan. England are unchanged from the third test against the West Indies as Stokes is still not fully fit to bowl, England do not believe that three seamers plus Bess can take 20 wickets between them and the England management retains its absurd faith in Buttler as a test cricketer. Pakistan won the toss and have chosen to bat. They are 121-2 of 41.1 with the players currently off the field for bad light. Archer and Woakes have a wicket a piece, Broad and Anderson have none and Bess has bowled five overs to date. Babar Azam had reached a 50 and left handed opener Shan Masood is not far away from that mark, with Abid Ali and Azhar Ali the two to go, the latter for a duck. Pakistan have taken a minor gamble with their own batting, putting the young leg spinner Shadab Khan at no6, which most would reckon is a place or even two higher than his batting skills currently merit. If Pakistan can get to 300 in this innings that could well be enough for England to struggle – their recent history when faced with anything approaching a substantial total is not exactly encouraging.

SOLUTION AND NEW PROBLEM

Yesterday I posed this problem adapted from brilliant:

My change is that where they gave a list of options for what was closest the the probability that someone testing positive actually has the disease I simply ask: To the nearest whole number what is the percentage chance that someone who has tested positive for the disease actually has it? Answer in my next post (my own explanation, plus a particularly impressive published solution).

The way I worked this one out was: if we imagine a sample of 1,000 people, 50 will have the disease and 950 won’t. Of the 50 who do have the disease 47 will have tested positive while three test negative (94% accuracy on positives). Of the 950 who do not have the disease 96% will have tested negative and 4% won’t. That 4% of 950 is 38, so the probability of a someone who has tested positive actually having the disease is 47/ (47+38) = 47/85. This comes to 55.29% to two decimal places, or to the nearest whole percentage 55% and that is the answer. Below is a jpg of a brilliantly economical published solution from Inesh Chattopadhyay:

Inesh

Today’s question is incredibly easy, and I also offer a bonus challenge:

Shading

No multi-choice here (this is much too easy for that), but a bonus challenge: part 1) if there was a third square of the same size but divided into 49 smaller squares shaded in similar fashion which would have the largest shaded area, and part 2)what is the general rule relating the number of squares into which the big square is divided and the proportion of it that ends up shaded?

A PETITION AND SOME PHOTOGRAPHS

Jo Corbyn, chair of NAS Norwich, has a petition on change.org calling on the government to stop cutting people’s life-saving social care. Below is a jpg of the petition, formatted as a link so that you can sign and share it – please do so:

Petition

My usual sign off…

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This was by far my best butterfly pic of the day…
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…so I devoted some attention…
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…to making the most…

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The Bob Willis Trophy and England v Ireland

A whistle stop tour of the Bob Willis Trophy as the first round of matches draws to a close, a look at the ODI between England and Ireland, some mathematics and photographs.

INTRODUCTION

The first round of Bob Willis Trophy Matches is into its final afternoon, and the third and last match of the ODI series between England and Ireland is underway.

THE BOB WILLIS TROPHY

Late yesterday afternoon Sussex became the first team to win a Bob Willis Trophy match when they bowled Hampshire out for 150 in the final innings to win a low scoring match by 94 runs. Oliver Edward Robinson, the right arm medium fast bowler, was Sussex’s star player, following 3-36 in the first Hampshire innings with 5-29 in their second. Jack Carson, a 19 year old off spinner had 3-37 in that final innings as well, following 2-15 first time round. Felix Organ, an off spinning all rounder (mentioned in this post in my all-time XIs series), and Mason Crane, a leg spinner, each took three wickets in each Sussex innings. Somerset joined Sussex in the winners enclosure this morning, bowling Glamorgan out in the final innings for 160 to win by a colossal 289 runs. The Overton twins got among the wickets in both innings, while Jack Brooks, better known as a bowler, had some fun with the bat for Somerset with 72 in the first innings. Tom Abell, a young batter looking to stake a claim to an England place, made 119 in Somerset’s second innings. I will pay Glamorgan the courtesy of making no reference to their efforts in this match. Yorkshire have just become the third team to record a victory in the competition, having been delayed by rain this morning, but getting the better of Durham by six wickets. All of Yorkshire’s seamers got among the wickets, and Dawid Malan and Harry Brook scored runs in the final innings. Northamptonshire look to have turned the tables on Warwickshire after a disastrous start. Northants were rolled for 142 in their first innings, and Warwickshire scored 369-8 from 120 overs in response before their first innings had to be closed. Northamptonshire are 453-6 in their second innings and all but safe from defeat. Surrey and Middlesex is interestingly poised at The Oval. Middlesex declared their second innings at 248-6, setting Surrey 314 to win in 71 overs, and Surrey lost three wickets early in their second innings and are currently 76-3 in the 27th. Daniel Moriarty, a left arm spinner on first class debut took five wickets out of the six Middlesex lost in their second innings. Ryan Patel and Jamie Smith are currently batting well. Smith, Surrey’s keeper in the absence of Ben Foakes, scored 80 in the first innings, while Patel has some long innings to his credit in the past (he also bowls medium pace and holds the record for taking five first class wickets earlier in his career than any other bowler in terms of balls bowled to get there). Martin Andersson (no, this is not a typo, his surname is spelt the Nordic way with a double s, as opposed to veteran England seamer James Anderson, although he was born in Reading, Berkshire) bowled a crucial spell in the Surrey first innings, and also scored 50 in Middlesex’s second innings. Lancashire managed 322 in the first innings against Leciestershire, who responded with 409-8, while Lancashire are now 181-6 in their second innings. Callum Parkinson, twin brother of Matt who when not injured is part of the England ODI setup, has bagged five wickets in this match, two in the first Lancashire innings and three more in the second. Gloucs and Worcs looks like going the way of the latter. Gloucestershire made 267 in their first innings and are now 244-9 in their second, with Worcestershire having scored 428-5 in their first innings. Josh Tongue has bowled well for Worcestershire in both innings. Notts and Derbyshire is going Notts’ way but only just – they have set Derbyshire 365 to win and the latter are currently 212-5. Joey Evison, a young all rounder,  has made two scores of over 30 for Notts and picked up four wickets, while Haseeb Hameed formerly of Lancashire is showing signs of resurrecting his batting having scored 68 and 52 in this match. Finally, the ‘Dartford Crossing Derby’ between Kent and Essex looks likely to go Essex’s way, although they have just lost another wicket, making it 148-5 and 54 needed to win. Kent made 387 first up, Essex 298 in response, but then Kent folded for 112 in their second innings. Jamie Porter took four wickets in the first Kent innings, while Heino Kuhn scored 140. Matt Milnes took four wickets for Kent in his turn, while Marcus O’Riordan, an off spinner, took three. Simon Harmer in turn took four wickets with his own spin, while Essex’s opening bowlers took five between them, three for Sam Cook and two for Porter. Hamidullah Qadri has a wicket with his own off spin in the Essex second innings.

ENGLAND V IRELAND

England have lost three early wickets, but are now fighting back, having just got 100 up. Morgan the skipper is doing most of the scoring at present, while Tom Banton is playing the support role. Roy and Bairstow were both out in single figures, and Vince yet again looked impressive for a short period before getting out, this time with 16 to his name. As a senior top order batter Vince must be running out of chances – he has produced seemingly numberless elegant miniatures but no full fledged masterpiece as yet.

SOLUTION AND NEW TEASER

I set this one in my last post:

Fractal

These were the possible answers:

a)

Below is a screenshot of Vinayak Srivastava’s published solution – click on it for more:

Vinayak

This one was today’s daily challenge on brilliant, although I am making it a little tougher than they did (the four daggers is a ludicrous overstatement of the difficulty of this one):

disease

My change is that where they gave a list of options for what was closest the the probability that someone testing positive actually has the disease I simply ask: To the nearest whole number what is the percentage chance that someone who has tested positive for the disease actually has it? Answer in my next post (my own explanation, plus a particularly impressive published solution).

PHOTOGRAPHS

My usual sign off:

IMG_2463 (2)IMG_2464 (2)IMG_2466 (2)IMG_2467 (2)IMG_2468 (2)IMG_2472 (2)IMG_2473 (2)IMG_2473 (3)IMG_2474 (2)IMG_2474 (3)IMG_2475 (2)IMG_2476 (2)IMG_2477 (2)IMG_2478 (2)IMG_2478 (3)IMG_2478 (4)IMG_2479 (2)IMG_2479 (3)IMG_2480 (2)IMG_2480 (3)IMG_2481 (2)IMG_2481 (3)IMG_2482 (2)IMG_2482 (3)IMG_2483 (2)IMG_2483 (3)IMG_2484 (2)IMG_2484 (3)IMG_2485 (2)IMG_2485 (3)IMG_2486 (2)IMG_2486 (3)IMG_2487 (2)IMG_2488 (2)IMG_2489 (2)IMG_2490 (2)IMG_2491 (2)IMG_2492 (2)IMG_2493 (2)IMG_2494 (2)IMG_2495 (2)IMG_2496 (2)IMG_2497 (2)IMG_2498 (2)IMG_2499 (2)IMG_2499 (3)IMG_2499 (4)IMG_2499 (5)IMG_2500 (2)IMG_2500 (3)IMG_2501 (2)IMG_2502 (2)IMG_2503 (2)IMG_2503 (3)IMG_2504 (2)IMG_2504 (3)IMG_2505 (2)IMG_2505 (3)IMG_2506 (2)IMG_2507 (2)IMG_2508 (2)IMG_2509 (2)

PS Kent have turned things around against Essex and now have them 172-8 needing to score 30 with only two wickets left. Tom Banton is starting to blossom in the ODI, having now reached 50, his first such ODI score.

The Start Of The Bob Willis Trophy

A first post on the Bob Willis Trophy, a bit of mathematics and some photographs.

INTRODUCTION

This post looks at the start of the competition that has been devised to replace the county championship in this pandemic hit season, play in which got underway at 11AM this morning. The second ODI between England and Ireland gets underway at the Ageas Bowl shortly.

HONOURING A LEGEND

Bob Willis, the former fast bowler who was only the second England bowler to take as many as 300 test wickets, following in the footsteps of Fred Trueman, died on December 4th 2019. When it became apparent a normal county championship would be impossible to stage it was only natural that his name should be attached to the replacement competition. Willis’ finest hour came at Headingley in 1981. He he taken no wickets in either innings, when with Australia 56-1 in their second innings needing only a further 74 for victory he was given one last chance to save his test career. Just under an hour later Australia were 75-8 and Willis had taken six wickets in as many overs (the other, the adhesive Border, had fallen to Chris Old). Dennis Lillee and Ray Bright launched a counter attack that yielded 35 runs in four overs before Lillee mistimed a drive and Gatting ran in, dived and held the catch. Alderman was dropped twice of Botham, but the first ball of Willis’ 16th over of the innings and tenth off the reel uprooted Bright’s middle stump to give England victory by 18 runs, with Willis having figures of 8-43. Willis would play on another three years, captaining the side for a period.

AN EXPERIMENT BORN OF NECESSITY

The 18 First Class counties have been split into three regions, South, Central and North. Each region will be play five rounds of matches, so that each side plays each other side in their region twice. At the end of this the two teams with the most points will play a final at Lord’s, which will be contested over five days instead of the regular four for a county fixture. Certain other changes have been made to the normal format of county games: the number of points for a draw has been increased from five to eight so that teams who suffer a lot of adverse weather will not too badly affected, a new ball will only be available at 90 overs rather than 80, the first innings for each county cannot last beyond 120 overs, and the minimum lead to be able to enforce the follow-on will be 200 rather than 150 runs. One beneficial side effect of these arrangements should be that spinners come into the game more than at present (Surrey and Middlesex, whose game I have listened to some of, are each playing two spinners, in Surrey’s case first class debutant Daniel Moriarty and England hopeful Amar Virdi, who would be the most obvious replacement for Dom Bess in the off spinner;s role). England is somewhat overburdened with bowlers who move the ball around a bit at medium pace or fractionally above and short of both genuine pace and spin. Surrey and Warwickshire were going to be experimenting with letting in spectators, but that has been prevented by the fact that Covid-19 cases are spiking upward making caution once more the order of the day.

A MEASURE OF MATHEMATICS

I have solutions to provide to the two problems I posed in my previous post, and I also have a new problem to set. My first was this one:

This was a bit of trick question. The answer is the both final shapes have the same number of faces (14 as it happens). Here is a published solution from Mahdi Raza:

FaceOff Sol

The second problem I posed was this one:

SNN

The fact that the result is not allowed to be negative at any stage means that only five square numbers need be considered as possible plays for Mei – 1, 4, 9, 16 and 25. 25 + 9 = 34, which means that if either of these numbers is chosen Yuri is left with a square number and reaches 0 at the first attempt, which leaves 1, 4 and 16 as options. 

Case 1: Mei plays 16. This reduces the number to 18. Yuri’s choices are now 1, 4, 9 or 16, of which 9 is instantly ruled out since it gives the game to Mei. However a choice of 16 by Yuri reduces the number to 2. Mei’s next move is forced 0 she subtracts 1, leaving 1 remaining and a win for Yuri as he also subtracts 1.

Case 2: Mei plays 4. This reduces the number to 30. All Yuri now has to do is play 25, reducing the number to 5, and whether Mei subtracts 1 or 4 she leaves a square number which Yuri thus reduces to 0 winning the game.

Case 3: Mei plays 1 which reduces the number to 33. If Yuri plays 25 that reduces the number to 8. Mei has a choice between 1 and 4, and 4 reduces the total to 4 an a win for Yuri, so she has to play 1. If Yuri now plays 4 then Mei plays 1 and Yuri has to do likewise, giving the game to Mei. Thus Yuri plays 1 reducing the number to 6, and Mei can then win the game by playing 4 and making the number 2 with Yuri to play. Thus Yuri cannot play 25 as his first response. If he plays 16 that reduces the number to 17, from which Mei cannot play 1 as that gives Yuri the game. If she plays four that reduces the number to 13, and Yuri’s forced moved of 1 reduces the number to 12, from which Mei cannot play one or nine as they immediately allow winning moves for Yuri. So she plays four, making the number now eight, and Yuri counters with a one which makes the number seven, and whether Mei plays one or four Yuri is in control because his own next move makes the number two. If she plays a nine instantly from 17 that reduces the number to eight and again Yuri is in control. Similarly 16 hands the game straight to Yuri. Thus whatever number Mei starts with Yuri has a winning response. THus, if both players play optimally Mei cannot win.

The new problem involves fractal geometry:

 

There are five answers for you to choose from:

a)

Solution in my next post.

PHOTOGRAPHS

My usual sign off:

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The Resumption Of ODI Cricket

A little look at the ODI between England and Ireland, and upcoming cricket development. Two mathematical challenges and some photographs, including some butterflies.

INTRODUCTION

England are playing Ireland today in the first One Day International anywhere for 139 days. It is England’s first home ODI since the 2019 World Cup final.

BIO-SECURE BUBBLES AND SELECTION

A combination of the rules surrounding bio-secure bubbles and the need to make up for time lost to the pandemic means that England are without their multi-format players (yet another reason why Buttler should have been dropped from the test squad – he is much more valuable as a limited overs player than as a long format player), which means that six of the World Cup Final eleven are missing. Ireland are in transition, and two youngsters, Curtis Campher and Harry Tector (the middle of three brothers, in between Jack and Tim, the last named of whom is according to some the best cricketer) are making their international debuts.

ENGLAND OFF TO A FLYER

Ireland are batting, though whether they still will be by the time I have finished this post is open to question, since they have already lost five wickets, including one of the debutants, Tector. Campher is still batting, and is in partnership with the veteran Kevin O’Brien. This is also the first ODI to contribute to the new ODI League which will decide who qualifies for the next world cup. David Willey, left arm medium fast, and Saqib Mahmood, right arm fast, have done the damage with the ball so far, while Adil Rashid (leg spin) and Tom Curran (right arm fast medium) are currently in action, with vice-captain Moeen Ali presumably fifth bowler should such be required. Tom Banton of Somerset may get an opportunity to demonstrate his batting skills later in the game.

UPCOMING FOR ENGLAND

The ODI squad have another two matches in this series against Ireland, while the first test match of the second series of the summer, against Pakistan, gets underway on Thursday. Pakistan look a stronger combination than the West Indies, making a strong start very important. Australia are due to visit for an ODI series in September. Some steps have already been taken towards spectators returning to the grounds, and more trials will be conducted during the Bob Willis Trophy, the county tournament that is taking the place of the County Championship for what remains of this season. It is not just about making sure that numbers in the ground are safe, but also of ensuring that travel to and from the grounds can be conducted safely. O’Brien has just holed out off the bowling of Rashid to make it 79-6. Simi Singh and Andrew McBrine both have some sort of batting skill, McCarthy is definitely a tail ender and Craig Young is a genuine no11. Simi Singh has just been run out for 0 to make it 79-7. McBrine is next man in. Save for a memorable occasion in New Zealand 42 years ago when Boycott was the victim, courtesy of Botham who had been instructed to up the run rate by any means necessary, there has never been a good time to suffer a run out, but this was a more than usually bad time from an Irish perspective for such a thing to happen.

TWO MATHEMATICAL TEASERS

I have two problems from brilliant to share with you. I start with one officially rated at three daggers (I am showing you two stills from what is actually an animation), but which I consider very much easier than that:

FacesC

My second offering is more difficult, but not nearly as difficult is the five dagger rating suggests:

SNN

This had multiple choice answers originally, but I am not offering them. It is considerably less difficult than the rating suggests, though I admit to spending a measurable length of time thinking about it before coming up with the answer (solving these problems is a ‘before breakfast’ activity for me,  and I never spend hugely long on any of them). Solutions tomorrow.

PHOTOGRAPHS

My usual sign off:

Butterflies
Butterflies seen yesterday and today while out walking.

IMG_2353 (2)IMG_2354 (2)IMG_2355 (2)IMG_2356 (2)IMG_2356 (3)IMG_2358 (2)IMG_2359 (2)IMG_2360 (2)IMG_2361 (2)IMG_2362 (2)IMG_2363 (2)IMG_2363 (3)IMG_2366 (2)IMG_2367 (2)IMG_2367 (3)IMG_2368 (2)IMG_2369 (2)IMG_2370 (2)IMG_2370 (3)IMG_2370 (4)

IMG_2395 (2)
There is a very large clump of Buddleia growing adjacent to the bridge that carries Littleport Street across the Gaywood river, which is often a good place to observe butterflies, and it was there that I spotted this peacock this morning (six shots in the attempt to do full justice to so splendid a specimen).

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PS Well done to Ireland – after that awful start they are still batting, now on 124-7, Campher now on 46, and McBrine 23.

Rain Delay At Old Trafford

An update on developments from Manchester, a mathematical teaser, and some pictures plus and update regarding my employment status.

INTRODUCTION

The predicted rain has arrived at Manchester in spades, but England are still in a very strong position thanks to their efforts yesterday.

THE MATCH AS IT STANDS

Having secured a first innings advantage of 172 England batted well second time around. Sibley made a half century, Joe Root scored at a very rapid rate throughout his unbeaten half century and Burns managed 90, his dismissal triggering a declaration which left the West Indies 399 to make to win the match and England six overs to bowl yesterday evening. Broad who had terminated the first West Indies innings with extreme prejudice earlier in the day produced another magnificent spell of bowling, bagging the wickets of John Campbell (84 runs in the series for the opener, a performance reminiscent of that of another left handed attacking opener, David Warner in last year’s Ashes) and nightwatchman Kemar Roach to take his tally of test wickets to 499. The West Indies ended that mini-session at 10-2 off six overs, needing a further 389 to win. There has been no play thus far today due to the rain, but it is no longer raining in Manchester (it is rodding it down here in King’s Lynn) and the umpires have thrown down a challenge to Jupiter Pluvius by declaring that they will inspect at 3PM if there is no further rain. Of course England declared yesterday evening precisely because we were expecting little if any play today, and the forecast for tomorrow is good (and Old Trafford is, as it needs to be, a quick draining ground). Unless one of the remaining West Indies batters can somehow channel the Lord’s 1984 version of Gordon Greenidge the only question is whether we will see enough cricket today and tomorrow for England to get those final eight wickets.

SOLUTION TO YESTERDAY’S TEASER

Fractal

I offered the following choices:

a)1.00-1.25
b)1.25-1.50
c)1.50-1.75
d)1.75-1.99

Brilliant had offered as it’s three possible answers less than 1, between 1 and 2, and 2. Anyone who has read about fractal geometry knows that the fractal dimension of a line is always between 1 and 2, so this selection of answers constituted a give away, reducing a three-dagger problem to a one-dagger joke.

In this case the calculations give an answer of approximately 1.33, so the correct choice from the selections I offered is b) 1.25-1.50.

Here is a published solution by Mateo Doucet De Leon:

Fractal Sol

PICTURES AND AN UPDATE

Today’s pictures are of coins. A return to employment with James and Sons Auctioneers is on the horizon, although current circumstances make it impossible to predict when this will happen, but I have agreed to do some imaging from home in the meantime, and the first consignment of stock to be imaged arrived yesterday. The auction can be viewed here. Below are some of the lots I have already imaged…

1
This half guinea is lot 1.

1-a1-b

1-p
I tried a photograph as well as the scan, but the scan is undeniably better.

1-pa1-pb83-a83-b84-a84-b85-a85-b86-a86-b87-a87-b88-a88-b89-a89-b90-a90-b93-a93-b94-a94-b95-a95-b96-a96-b97-a97-b98-a98-b99-a99-b100-a100-b

 

England In Control

An update on the test match, a bit of mathematics and some photographs.

INTRODUCTION

The weather may yet baulk England in the current test match in Manchester, but the West Indies will not be doing so.

YESTERDAY

When I wrote yesterday’s post the West Indies were just starting their response to England’s 369. England took wickets regularly throughout yesterday’s play, the West Indies reaching the close at 137-6, with Holder and Dowrich together. This meant that enforcing the follow-on was still a possibility to be considered.

TODAY

England were possibly over mindful of the chance of enforcing the follow on, and hoping to keep Broad and Anderson to use the new ball in an envisaged West Indies second innings they opened up with Archer and Woakes. Holder and Dowrich were still together 53 minutes into the day when Broad was finally called upon to bowl. He proceeded to whip out the last four wickets, limiting the West Indies to 197, 172 less than England jad scored. Broad’s four wickets today gave him innings figures of 6-31, the 12th time he has taken six or more in a test innings, equalling Sydney Barnes (who however needed only 27 test matches to take his 12 six plus wicket hauls. Broad also scored 62 in the England first innings. At Melbourne in 1883 Billy Bates scored 55 with the bat and took seven wickets in each Aussie innings, including England’s first ever test cricket. In 1980 Ian Botham scored 114 not out and took 6-58 and 7-48 vs India in what was then Bombay (now Mumbai). Shortly after this match he injured his back and was never quite the same bowler again, although he still took plenty of wickets by sheer force of character. At Edgbaston in 2005 Andrew Flintoff scored 73 and 68 and took four wickets in each innings.

England have not altered their batting order for the second innings thus far – Sibley and Burns are in action, but in view of the forecast for tomorrow they would be well advised to be thinking in terms of declaring today so that even if tomorrow is a total washout they still have one full day in which to bowl West Indies out again. West Indies keeper Dowrich is off the field injured, with Shai Hope briefly taking over while Da Silva the reserve keeper got himself padded and gloved for action, and he is now behind the stumps. England when playing against New Zealand in 1986 used four keepers in a single innings – French was injured, Athey took over briefly before Bob Taylor was summoned from a hospitality tent to act as sub for the rest of that day, while Bobby Parks of Hampshire (son of James M Parks, grandson of James H Parks, grand nephew of HW Parks) responded to an SOS and did the job the following day. Da Silva has just made a complete horlicks of a stumping chance, knocking the stumps over without having the ball in his hands.

THE OVAL – THE RETURN OF SPECTATORS

There is a friendly match between Surrey and Middlesex at The Oval which is being used to trial the carefully managed return of spectators – 1,000 (900 Surrey members and 100 Middlesex members) have been allowed into the ground, the spectators seated singly or in small groups, with at least two empty seats between each separate spectator or group of spectators. It appears to be going well so far. In terms of the cricket Surrey are batting today, and Middlesex will bat tomorrow. Will Jacks, one of Surrey’s better young players is batting well according to reports.

A MEASURE OF MATHEMATICS

This section of the post has three parts, beginning with…

SOLUTION TO YESTERDAY’S TEASER

Yesterday I offered you a calcdoku courtesy of brilliant.org with the task being to work out the sum of the numbers in the diagonal from top left to bottom right. Here is the solution:

SC

The diagonal thus contains two 2s and two 1s for a sum of 6. The key to solving this is the ’64X’  block, which can contain only the numbers 1,2 and 4. It has three quarters of a row and three quarters of a column, and so all three numbers are needed to go in those five squares – the corner being the overlap. That corner contains a 2, which means that the numbers in the other four squares are two 1s and two 4s, making the sixth number a second two. These numbers then force the ‘9+’ block to be 3,4, 2, which in turn force the placing of the remaining of the numbers.

EMMY NOETHER

Emmy Noether was a German mathematician who changed the face of physics by linking two important concepts, conservation laws and symmetries. 102 years and three days ago Noether unveiled her theorem. Emily Conover has an article about this on sciencenews.org. Here is what famousscientists.org have to say about Noether.

A NEW PROBLEM FROM BRILLIANT

This problem is a splendid one which was somewhat spoiled by the conditions as I shall explain:

Fractal

I will make this multiple choice, but not with the options given on brilliant, which were the spoiler – the answers I offer you to pick from are:

a)1.00-1.25
b)1.25-1.50
c)1.50-1.75
d)1.75-1.99

Solution and explanation tomorrow.

PHOTOGRAPHS

My usual sign off…

IMG_2298 (2)IMG_2299 (2)IMG_2301 (2)IMG_2302 (2)IMG_2303 (2)IMG_2303 (3)IMG_2304 (2)IMG_2306 (2)IMG_2307 (2)IMG_2307 (3)IMG_2307 (4)IMG_2308 (2)IMG_2308 (3)IMG_2308 (4)IMG_2309 (2)IMG_2309 (3)IMG_2309 (4)IMG_2309 (5)IMG_2310 (2)IMG_2311 (2)IMG_2312 (2)IMG_2312 (3)IMG_2313 (2)IMG_2313 (3)IMG_2314 (2)IMG_2315 (2)IMG_2317 (2)IMG_2318 (2)IMG_2319 (2)IMG_2320 (2)IMG_2321 (2)IMG_2322 (2)IMG_2322 (3)IMG_2323 (2)IMG_2324 (2)IMG_2325 (2)IMG_2326 (2)IMG_2326 (3)IMG_2327 (2)IMG_2327 (3)IMG_2327 (4)

Advantage England at Old Trafford

A look at developments in the third test match between England and the West Indies, a mathematical teaser and plenty of photographs.

INTRODUCTION

The test match at Manchester is deep into its second day, and England are in a strong position.

DAY 1

England got out of jail in the last part of yesterday, Pope playing beautifully to reach the close on 91 not out and Buttler also topping 50. The light intervened with 4.2 overs still to bowl, and the close of play score was 258-4.

DAY 2

Pope and Buttler both fell early in the day, as did Woakes and Archer to make it 280-8, with four wickets, including his 200th in tests to Kemar Roach. Then Broad arrived at the crease and attacked from the start. The game got away from the West Indies as Broad and Bess put on 78 for the ninth wicket, with Broad hitting 62 off just 45 balls, the highest score ever by an England no10 at Old Trafford, beating the 60 not out of Hedley Verity in 1934. Bess and Anderson then added a further 11 for the tenth wicket and England totalled 369. Lunch was taken as soon as England were all out. Broad continued his excellent day by getting Kraigg Brathwaite with the new ball. The other opener John Campbell was reprieved when Stokes dropped a chance in the slips off Anderson, and as I write West Indies are 20-1 after nine overs.

THE WISDEN TROPHY

England need to win this match to win the series and take the Wisden Trophy, while a draw would see the West Indies retain the Wisden Trophy, and a win would see them win their first series in England since 1988. I think England’s two escapes, first when they got away in the final session of yesterday and then the Broad/Bess flourish of this morning have taken the West Indies win out of the equation, leaving th only question being whether England can force a victory.

HOLDER’S ILLOGIC

Jason Holder, the West Indies captain, has not distinguished himself in this match. Having decided to go with an extra spinner he then responded to winning the toss by putting England in. If the first decision was correct, the second was certainly wrong, since it is in the closing stages of matches that spinners come into their own. I am not sure whether the pitch will offer much spin (Cornwall, the extra spinner, went wicketless in the first innings) but I am already certain that the decision to bowl first was wrong – the fact that England made 369 with only Ollie Pope batting really well and Broad having his bit of fun late in the innings indicates a pitch not offering hugely much to the bowlers. It also shows a failure to learn from experience – Holder made the same decision at this same ground just a few days earlier and his team took a hammering in that game. Then, yesterday evening, with Pope and Buttler going well the West Indies inexplicably delayed taking the new ball, which contributed to England bossing the opening day.

TAKING BAD LIGHT OUT OF
TEST MATCH CRICKET

Bad light needs to be eliminated from test cricket, and there are two ways of doing so, given that all international venues have floodlights:

  1. Have a stock of white balls at the venue, so that if the floodlights are the sole source of light the red ball can be replaced with a white one and the match continue after a short pause.
  2. Play all test matches with pink balls, so that there is no need to switch colour when the nature of the light changes.

THE REST OF THE GAME

After today there are three more scheduled days, and only Monday has a really bad weather forecast. I think England are favourites to win the match and therefore the Wisden Trophy. The follow-on is unlikely to come in to play, but England should have a respectable first innings advantage. Given that Monday is likely to be disrupted they should then look to advance that lead at a rapid rate. Jofra Archer has just struck to make it 44-2.

MATHEMATICAL TEASER

A very easy but quite fun teaser from brilliant.org (ignore the official difficulty rating):

The problem is 4 x 4 Calcdoku – each row and column contains the numbers 1,2,3 and 4, and various regions are marked out as having a certain total obtained by applying one of four basic arithmetic operations.

Calcdoku

Solution tomorrow.

PHOTOGRAPHS

My usual sign off…

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Tomato plants which I am currently attending to.
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Close ups of some of the fruit in this pic and the next.

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