[net.math] missing card problem

lew@ihuxr.UUCP (Lew Mammel, Jr.) (09/29/83)

R. Wienski wonders why 7/46 disagrees with the Bayesian answer. He erred
by not including the missing card among the cards remaining after the
5 clubs are drawn. The answer is 8/47. Note that :

13*12*11*10*9        13   12*11*10*9*8
-------------   =    -- * ------------
51*50*49*48*47       8    51*50*49*48*47

Calling this value "A", the Bayesian answer becomes:

	8/13 * A / ( 8/13 * A + 3*A ) = 8/47

It doesn't matter if the 5 clubs are drawn before or after the card is lost.

	Lew Mammel, Jr. ihuxr!lew