The Americans correctly shorten mathematics to "math", whereas the Brits and Australians use "maths". We are wrong of course as it is a collective noun, like sugar. We ask "How many sugars?" as short for "how many teaspoons of sugar?" but we would never ask at a supermarket "Where are the sugars, please?"
I have been asked how important math(s) is in bridge. Quite a bit, and discussions of the right percentage line is a common feature of bridge magazines. There is a book on Card Combinations, which shows the percentage chance of making x tricks with a particular suit holding. Most of the time, however, the whole hand comes into play as in a hand at the Woodberry last week.
Most played Four Hearts by East and only one made 11 tricks. The bidding always began 1H-(Pass) and now West will probably bid 2NT, a game-forcing heart raise, or a splinter of 4C, also showing four-card heart support. North-South should sacrifice in 5C but none did. Two were even allowed to play the hand in 4C, which made on the nose. This expression might well have originated in the early days of radio broadcasting. The presenter putting his forefinger "on the nose" indicated that the broadcast was running on time. I certainly would not broadcast that I had given in to 4C here, and the decision comes for EW over 5C.
If East goes on to 5H, there is a chance for South to shine. It may be necessary to keep the lead, and the king of clubs does so. Then the defence might well find the diamond shift needed to break the contract. However, a small club is a more likely lead, and North can do little other than play one back, which is ruffed in dummy. Two rounds draw all the trumps. How should East play?
I think the percentage line is to run the ten of spades. North wins and cannot do other than play a third club, ruffed in dummy while East pitches a diamond. Now declarer could return to hand and take a second spade finesse. This is about a 75% line, winning whenever South has one of the spade honours. However, declarer can do better. Laying down the ace of spades is the right line. If both opponents follow you ruff a spade and if someone still has the king, you then take the diamond finesse.
The math of the right line is as follows (ignoring the fact that North has two hearts to South's one or that North may have longer clubs).
a) if South has the jack of spades: 50%.
b) if the spades are 3-3 or the king is doubleton. This is all the 3-3 breaks, 36%, plus 12% for a doubleton king, a total of 48%. This only applies when North has the jack of spades, so adds 24% to our success rate.
c) Finally if North has the jack of spades and the spades are 4-2 with the king in the long hand, then you take the diamond finesse. This allows you to make an additional (100-50%-24%) x 50% of the time. This adds 13% to the chance of success, elevating it to 87%.
Some of these figures will be affected by available spaces calculations, another example of math in bridge hands. The king of diamonds is more likely to be in South, as is the king of spades, but if North showed strength that will tilt it the other way. But it is clear that the declarers in 4H misplayed the hand, unless they were unlucky enough to get the king of clubs lead and a diamond switch (or an unlikely initial diamond lead). Also one or two Welsh internationals misplayed the hand when given to them as a play problem.