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Anyone Know THIS about odds?

Postby WildBillHickok » Sat Nov 27, 2004 8:16 pm

I was wondering...say you have KQ and your heads up opponent has A2( or any 4 different cards)...suits not mattering...what's the odds at least ONE of you will hit a pair or better? I'm guessing 4 out of 5?
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Postby iceman5 » Sun Nov 28, 2004 9:54 am

I beleive you are approx 2-1 against to pair up, so the odds of either of you pairing must be even money right?
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Postby iceman5 » Sun Nov 28, 2004 9:58 am

I believe you are approx 2-1 against to pair up, so the odds of either of you pairing must be even money right?

Wait, thats not right. You will pair up 1 in every 3 tries,so one of you will pair up 1 in every 1.5 tries which makes it what? 3-2?
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Postby WildBillHickok » Sun Nov 28, 2004 5:22 pm

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Postby Felonius_Monk » Tue Nov 30, 2004 8:21 am

I think you're underestimating there, ice. You hit a pair or better with 2 cards of different ranks by the river nearly half the time (this is why AK vs 22 is a coinflip; if you only caught two times in three then the 22 would be a big favourite). If you're talking about pairing up on the flop, the odds are 1-(44/50 x 43/49 x 32/48) which is roughly 1/3 (I assume that's what you're talking about with your 1 in 3). So, the odds that two random hands with 2 cards of different ranks will make at LEAST one pair by the river are around 3/4 (75%, or slightly under), whilst the odds that at least one will pair up on the flop are 1-(2/3 x 2/3) = 45% or so. This all assumes that you don't know any dead cards, and that both cards in each hand are different (i.e. NOT AQ vs A8 etc).

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Postby iceman5 » Tue Nov 30, 2004 10:09 am

Yes, I was talking about flopping a pair.
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Postby WildBillHickok » Thu Jan 20, 2005 11:27 am

...tight we were only talking about on the flop...thus deciding whether to take a shot at taking it down right there with a bluff.
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Postby k3nt » Fri Jan 21, 2005 2:03 pm

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