[TaintedRogue]

Hello,

You lost me in your 1st para, where you said: "44 possibilities for the 3rd flop card, and 20 ways to get three."

Addressing the 1st part: "44 possibilities"

(6*3)/2 = 9 ways to make Two Pair and then there are 48 remaining cards left that can come up as the 3rd Flop card that could end up giving you either a Full House or just the Two Pair you flopped.

9*48= 432 possible Flops that gives him Two Pair, or a Full House.

Quads: 2 ways

Trips: [(6*2)/2]*44 = 264

19600 - 698 = 18,902/698 = 27.08:1

I don't know what the "20 ways to get three" refers to.

I understand your Flush & Str8 computations.