INTRODUCTION
The first round of County Championship matches in season 2018 is drawing to a conclusion. Where there has been action (Yorkshire’s failure to get their ground into playable condition caused their game against Essex to be abandoned without a ball being bowled). I also have some photos to share, and will provide answers to the last problems I posed.
RAIN, WICKETS AND THE ODD RUN
A lot of drawn games have resulted due to poor weather before and during the matches. However, those matches which have had definite results have been absolute crackers. Only one game remains in progress – Sussex against Warwickshire, with the former’s David Wiese having scored the only century of this first round of fixtures (and off a mere 94 balls, helped along by 14 fours and three sixes). Sussex are building are useful lead, but it will take something spectacular in what is left of the match for anything other than a draw to eventuate. Gloucestershire beat Kent in a very low scoring affair (the largest team total in any of the four innings was only just over 150). Middlesex also won their match in short order, completing the job early on yesterday. Two other matches had definite results:
HAMPSHIRE V WORCESTERSHIRE
Worcestershire generally have a lot of away games scheduled for early in the season to give the New Road ground an apportunity to recover from its winter inundation (it is very close to the river Severn, so this is pretty much an annual event), and this year is no exception. Their match against Hampshire at Southampton (I refuse on principle to refer directly to grounds that are named after a sponsor) saw many twists and turns, but Hampshire were pretty well always ahead of the game. James Vince’s spirited 75 on the opening day was a fine effort, but yet again he failed to turn a good start into a really significant score. All-rounder Gareth Berg matched Vince’s score. Worcestershire fought back from a dreadful start in their own first innings to top the 200 mark, but they still conceded a deficit of 79, and Hampshire then scored 244 in their second innings to leave Worcestershire needing 324 to win. Worcetserhsire were so far short of threatening this target that it took a defiant last wicket partnership to get the final margin below 200 runs.
LANCASHIRE V NOTTINGHAMSHIRE
Lancashire were all out for 158 in their first innings, Nottinghamshire responded with 222, and overnight Lancashire were 58-2. Harry Gurney and Jake Ball (Left-arm Fast and right-arm Fast Medium respectively) bowled magnificently this morning, and Lancashire’s last eight wickets scraped together a measly 15, which meant Nottinghamshire needed just 10 to win. Nottinghamshire themselves managed to lose four wickets while chasing down this target, making the score for the day 25-12.
PHOTOGRAPHS
These are all from this morning:

SOLUTIONS
I posed these problems on Friday, in a post titled “Solutions (And New Problems)“
- Deck of Cards:
This is a multi-choice question, the possible answers being:
a) Less than 50%
b) More than 50%
c) Exactly 50%
This problem generated a huge amount of controversy among solvers on brilliant (many of those who opted for exactly 50% being unable to accept that they were wrong and arguing over it). The answer is “less than 50%” – whatever colour the top card in the pack is there remain 51 cards of which 25 are the same colour as the top card and 26 are the other colour. Hence the probability of the bottom card being the same colour is the top card is 25/51, which is just less than 50%. The more cards the deck contains the closer to 50% the probability gets, but it never reaches 50%.
2. Groyne
This one caused such confusion to solvers om brilliant that over half of them got it wrong. The answer is A, since the groyne acts as a block against waves approaching it from the right as you look at it, and therefore the reduced speed of those waves causes sediment to deposited on that side of the groyne.