Calculating Hold'Em Odds

[Bibulus]

Im curious as to the forumla for calculating ranges of flops such as odds of flopping an overpair with pocket pair. Im trying to do a mathematical study of holdem odds and I cant seem to find out the formula.

[BruceZ]

[ QUOTE ]
Im curious as to the forumla for calculating ranges of flops such as odds of flopping an overpair with pocket pair. Im trying to do a mathematical study of holdem odds and I cant seem to find out the formula.

[/ QUOTE ]

EDITED:

If you have a pocket pair of N's for N > 2, (with J = 11, Q = 12, K = 13, A = 14) the probability that all 3 flop cards are less than N is:

4*(N-2)/50 * [4*(N-2)-1]/49 * [4*(N-2)-2]/48

= (4N-8)/50 * (4N-9)/49 * (4N-10)/48

Or

C(4N-8,3) / C(50,3).


You also may want to subtract from this the probability that the 3 flop cards are all the same rank less than N. This probability is:

(4N-8)/50 * 3/49 * 2/48

Or

4*(N-8) / C(50,3).

[Bibulus]

Bruce I hate to say it but I think your wrong. Your using the standard number system and in poker 1 is high so you need to change the notation to N-2 instead of N-1

[BruceZ]

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Bruce I hate to say it but I think your wrong. Your using the standard number system and in poker 1 is high so you need to change the notation to N-2 instead of N-1

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So changed.