#3
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Re: probability of over-cards
There are 50 unknown cards, so the number of possible flops is
50 choose 3 = (50*49*48)/(3*2*1) If you're holding 88o there are 24 overcards (A-9 * 4) so there are (24 choose 0) * (26 choose 3) = 1 * (26*25*24)/(3*2*1) ways to have no overcards (24 choose 1) * (26 choose 2) = 24/1 * (26*25)/(2*1) ways to have one overcard (24 choose 2) * (25 choose 1) = (24*23)/(2*1) * 26/1 ways to have two overcards (24 choose 3) * (25 choose 0) = (24*23*22)/(3*2*1) * 1 ways to have three overcards. So you can take the fractions to figure out your probabilities. |
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