#1
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probability of over-cards
Hi Guys -
Sorry for the elementary question, I'm bad at probability. What is the probability of over-cards landing on the flop in hold'em. For example, if the Hero holds 88. What is the probability of one over card on the flop? two over cards? and 3 over-card? More advanced...what if the Villain holds A2? of AJ? Thx in advance. I can probably figure out how to calculate in the future if u show the math. |
#2
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Re: probability of over-cards
bump...can anyone help me with the first part?
what is the probably of two over cards and 3 overcards landing on the flop if the Hero holds 88? thx again. |
#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. |
#4
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Re: probability of over-cards
rufus...you the man. thx
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#5
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Re: probability of over-cards
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