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-   -   Odds of a flop without Q K or A on it? (http://archives1.twoplustwo.com/showthread.php?t=389424)

dtan05 04-26-2007 09:38 PM

Odds of a flop without Q K or A on it?
 
Just wondering, thanks.

AaronBrown 04-26-2007 10:26 PM

Re: Odds of a flop without Q K or A on it?
 
There are C(52,3) = 22,100 flops. There are C(40,3) = 9,880 ways to form a flop out of the 40 cards that are not Q, K or A. So 9,880/22,100 = 0.447. So the probability is 44.7% which is odds of about 5 to 4 against.

EnderIII 04-27-2007 04:18 AM

Re: Odds of a flop without Q K or A on it?
 
For those who aren't comfortable with combinations (this guy) i just took the probability that the first card isn't an A,K or Q, multiplied it by the probability that the second card isn't and so on.

(1-(12/52)) * (1-(12/51)) *(1-(12/50) = .447


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