fedness
fedness
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March 9th, 2010 at 6:48:28 PM permalink
sorry if its been asked before, was wondering what is the number of possible combination of different boards in a texas holdem game (full board, flop, turn, river)

Thank you,
federico.
wildqat
wildqat
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March 9th, 2010 at 9:08:40 PM permalink
If you don't know any hole cards, there are basically 2598960 (52 choose 5) different boards. However, the order of the cards is somewhat important for betting purposes (an A on the flop might make a different betting pattern than that same A on the river), so there are 22100 (52 choose 3) flops, 49 turns, and 48 rivers, so there's a total of 51979200 ways the board can come out.

If you know two hole cards (usually yours), it's a similar process: 50C5 = 2118760 final boards, with 50C3 = 19600 flops, 47 turns, and 46 rivers, so 42375200 ways the board can play out.
fedness
fedness
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Joined: Mar 9, 2010
March 10th, 2010 at 7:12:37 AM permalink
Quote: wildqat

If you don't know any hole cards, there are basically 2598960 (52 choose 5) different boards. However, the order of the cards is somewhat important for betting purposes (an A on the flop might make a different betting pattern than that same A on the river), so there are 22100 (52 choose 3) flops, 49 turns, and 48 rivers, so there's a total of 51979200 ways the board can come out.

If you know two hole cards (usually yours), it's a similar process: 50C5 = 2118760 final boards, with 50C3 = 19600 flops, 47 turns, and 46 rivers, so 42375200 ways the board can play out.



awesome TY! :)
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