sfi, on 2012-July-22, 22:52, said:
It seems right to play for the drop, but I'm not totally convinced. My thinking is as follows:
If East holds 753, then there are six ways for East to play the clubs if there are no signalling implications, while West only has one way to play from KT8.
If East holds T73, he has two ways to play them while West also has two ways to play with K85 - a total of four.
So it seems to me that the odds are 3-2 in favour of the drop.
Another way to look at this is to treat all the small cards as identical. Assume that we're comparing K10x-xxx with Kxx-10xx. There are 4 of the first and 6 of the second.
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All this assumes that the opponents are good enough to work out the situation (which doesn't seem like too much of a stretch in this case) and there is no need to signal. If we read the C7 as showing spades, then the odds shift to 1-1 if East would always play the 7 at trick two or 2-1 in favour of the drop if East would just avoid playing the C3 to send that message.
I can't believe anyone would give count here.
♣7 looks like either Reverse Smith (which they do play) or suit-preference for spades. Assuming he was signalling, I expect he'd signal with his highest spot card. With 752 only a miser would pay the middle one. With 872 it's natural to play the highest, but maybe he would choose randomly between the 8 and the 7.
If we assume that 7 is East's highest spot, there are two ways he can have 107x and one way he can have 7xx, so I think the odds still favour the drop.
If we think East would treat the 8 and 7 as equals and that West would play his spots in a way that gives no extra information (an unrealistic assumption), there are four ways East can have 10Sx, one way he can have 10SS, two ways he can have SSx, and two ways he can have Sxx. Still prefer the drop.
Maybe you had to be there. Being Rodwell might help too.
This post has been edited by gnasher: 2012-July-23, 01:22
Many forum readers no doubt watched this hand played live on vugraph. The three card ending from this hand is shown below. You can follow the play to get to the three card ending by pressing next in this movie.