Ace-Queen

[AaronBrown]

I agree with LetYouDown. Out of 19,600 possible flops, 16,215 (82.7%) have no Ace if you hold AQ. There are 47 possible cards, 4 cards from each of 11 ranks plus 3 Queens. C(47,3) = 16,215. 4,140 (21.1%) of the flops have exactly one King. There are four Kings, plus 46 other cards (4 from each of 10 ranks, 3 Aces and 3 Queens), 4*C(46,2) = 4,140.

There are 3,612 (18.4%) flops with exactly one King and no Ace. There are four Kings, and 43 other cards (4 each from 10 ranks, plus three Queens). 4*C(43,2) = 3,612.