Practical Poker Math

We now have all the numbers needed to calculate the odds of
flopping a Set and Set only:
Total Possibilities = 19,600
– WILLs = 2,112
WILLNOTs = 17,488
Odds of Flopping a Set Only with a Pocket Pair
WILLNOTs : WILLs
17,488 : 2,112
Reduce
17,488 / 2,112 : 2,112 / 2,112
8.28 : 1
Pocket Pair >>> Set or Full House
This calculation is much the same as the one above except
you don’t subtract the possible Pairs from the possible 2card
combinations.
First find the number of 2-card combinations possible from
the remaining unseen 50 cards minus the 2 cards that will
make the Set — Comb(48, 2):
(48 * 47) = 1,128
(1 * 2)
Multiply the result (1,128) by the number of remaining cards
that WILL make the Set (2) and you will have the number of
possible 3-card Flops that will make the Set or a Full House:
1,128 * 2 = 2,256
Also there is the possibility that a Set could come on the
Flop, which would also make a Full House with the Pair in
73
Before the Flop