How often will KQ QQ KK happen
Join Date: Dec 2008
Posts: 1,650
Been running like crap in tourneys for years now. When ever i think i have seen
the worst BAM its something else LOL. Just wondering How often will this happen,
folded to me on button allin 14BB with KQ. Small blind calls with QQ.
Big blind blind calls with KK.
Join Date: Aug 2011
Posts: 5,081
If 9max: combin(9,3) * 16 * (3/5) / combin(52,6) =~ 1 in 25246
16 combos of KKKQQQ
3/5 chance of them being distributed such that only one K and Q are together.
Two good ways to determine the 3/5 fraction are as follows:
3*3 / (5*3)
1 - 2^3 / combin(6,3)
Last edited by heehaww; 05-01-2017 at 10:54 AM.
Join Date: Jan 2009
Posts: 4,986
I interpreted the question differently, namely that hero has QK and seeks the probability one blind is dealt QQ and the other is dealt KK.
The probability that the blinds are dealt QQ and KK given you have KQ is 2*C(3,2)^2/[C(50,2) *C(48,2)]= 0.000013 or odds against of about 77,000 to 1. This ignores the possibility that a blind may not call or maybe raise and that early folders are less likely to fold a king or queen than lower ranked cards.
Join Date: Dec 2008
Posts: 1,650
Thanks guys! Sometimes on the drive home i'm second guessing my decision and your answers helped.
