Re: A, K or Q on flop.
I agree with your solution. I did it a little bit differently and I thought I'd share my solution since it simplifies the problem to some extent.
There are 38 cards in the deck you are okay with seeing on the flop (52 minus your hole cards minus all the aces, kings, and queens. The 38 include all the undercards as well as the last two jacks in the deck). So the equation for a 'safe' flop is:
C(38,3) = 8436
Total number of flops is C(50,3) = 19600
8436/19600 = 43% or 1.3:1 against.
So it is 43% to catch a flop with no A, K, or Q, and thus it is a 57% chance you will see one or more of them.
One last note - it gets worse...The 43% chance includes some unfavorable flops (three suited boards, three sequenced boards, paired boards, etc.). You may want to take that into consideration if you're trying to get a more accurate read on the value of JJ.
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