Posted 2010-August-24, 12:18
Ok, if West is 5440, we are at 50/50 (let's accept this for a moment as an absolute truth -- we will dispute it below as being not true). If west is 5431, we are 100% to make (6C, 1H, 1S, 1D, 2 spade ruff). So using your analysis of the hands (assuming briefly equal chance for 5440 and 5431) chance of 5C making is 75%. 0.75*12 = 9
Statistically, 5431 is wildly more likely than 5440, and when I ran this through the simulator, i initially defined WEST as 54(3-4)(0-1) with the majority of the hcp missing. So needless to say, the 5431 showed up something like 6 times as often as 5440 (i haven't rechecked, but my recollection is 5431 is way more likely than 5440). So from a simulator standpoint, the chance of "easily" making 5 clubs goes up.
But let's assume that it is 100% sure 5440 (as was the case on the given hand in the contest). Now lets play it after spade and spade, win the king, cash diamond ace, NOW KEY, lead the heart king. West must duck or it gives you a needed entry to establish the long diamond for 11th trick.
After the heart king wins, now play club to ace (whoops, west shows out). Lead the diamond 9 and if WEST does not cover let it run, throwing dummies heart away. East wins Jack, if he has it. Now you have a very high percentage diamond hook through WEST for the king, and sufficient entries to manage it. This wins 6C, 1S, 1H, 1S ruff, and two diamonds. Seems like this line is very close to 100% on the given auction/script.
--Ben--