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Old 09-13-2005, 06:04 AM
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Default Re: very simple math questions

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Any pocket pair 1 in 17
Individual pocket pairs 1 in 221
Any particular pair of values, suited 2 in 663 (1 in 331)
Any particular non-pair values (not necessarily suited) 8 in 663 (1 in 83)
Chance that your opponent has a pair when you also do, heads up 1 in 72. Chance the opponent has a pocket pair when you do not, 1 in 73.

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Rufus -- How did you arrive at odds opponent has a pair when you do / do not have one? I believe the chance your opponent has a pocket pair is roughly 1/17 regardless of your hole cards (although it is actually very slightly more likely if you hold a pair). Whereas the odds two players playing heads up both hold pocket pairs in a given hand is roughly 1/17 * 1/17, or 1/289.

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Ah... to answer my own question, I think you meant there were 73 possible pair combinations left if you had a pair and 72 possible pair combinations left if you did not... out of 1225 total hole card combinations, this comes to approximately 1/17... [img]/images/graemlins/smile.gif[/img]
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