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Old 07-07-2004, 08:55 PM
redsamurai redsamurai is offline
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Join Date: Jun 2003
Location: Seattle
Posts: 29
Default Re: Completely hidden quads

This is a better question for the probability forum but here is your answer:
Pocket Pair: 3/51 = 5.8823529%
A Board Card Matches the given pair: 4 * (2/50 x 48/49 x 47/48 * 46/47) = 15.020408%
River Card Matches Trips: 1/46 = 2.173913%

Thus the probability of hitting fully hidden quads is .01920768% or approx. 1 in 5200 hands. Playing a hundred hands a week this should happen about once a year.
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