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easy but classic textbook example


benlessard

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Interesting, RHO having JT under Justin's assumptions is 1.8 times as likely as LHO having JT or QJ. I wouldn't have thought it is so dramatic.

Suppose that I wanted to confirm Cherdano's calculation, or even to do an estimate at the table. Is this method correct:

 

With spades 5=4, hearts 2=0 and K offside, West has 5 vacant spaces to East's 9.

 

The chance of a given pair of cards appearing in the East hand is 9/14 * 8/13 ~= 40%.

 

The chance of a given pair of cards appearing in the West hand is 5/14 * 4/13 ~= 11%.

 

Hence the chance of West's having J10 or QJ is 11 + 0.89 * 11 ~= 21%

 

That seems to accord with Cherdano's figures, given that I haven't considered the possibility of KJ on the left. Is that just a coincidence, or have I actually done the calculation correctly?

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