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Old 11-23-2003, 03:21 PM
bigpooch bigpooch is offline
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Join Date: Sep 2003
Location: Vancouver, Canada
Posts: 759
Default Re: \"5 card\" guts hand rankings

For trips: this is just the sum of trips or quads in draw
(so it helps to remember these numbers) or of the C(52,5)
hands there are 54912+624 = 55536 of them.

For a three card sequence of the same suit (including
A23 suited):

there are 40 straight flushes (5 cards in a row)
for four cards in a row: 2x4x47+9x4x46 = 2032
for three in a row: 2x4xC(48,2) + 10x4xC(47,2) = 52264

So altogether there are 54336 of these which is clearly
less than the number of trips+ hands. The ratio of these
sequences to trips is now 0.97839 which is quite a bit
bigger than 48/52 = 0.92308
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