[2Fast2Furious]

Thanks. Am forgetting my old math/combination skills, but am wondering what the underlying assumptions are in your first formula. You said it works like this:

Hitting flush with 2 cards to come: 1 - C(38,2)/C(47,2) = ~34.97%

Am not sure what numerator C(38,2) represents and a little unclear on denominator (47 is # of unknown cards, what is the "2" (reps # of cards on the come?).
With 1 card to come: 9/46 = 19.57% (that's easier; 9 outs as numerator; 46 unknown cards in the deck (52 - turn + my 2 = 46)