Practical Poker Math

5. Odds in Omaha Hi-Lo
Low Draw & Flush Draw >>> Flush & Low
With a Flush draw and a Low draw, there are 12 cards that
will make the Low without making the Flush, and 9 cards
that will make the Flush without making the Low.
12 * 9 = 108 is the number of 2-card combinations that will
make both the Flush and the Low:
Total Possibilities = 990
– WILLs = 108
WILLNOTs = 882
Odds of Making BOTH a Flush and a Low
with 2 Cards to Come
WILLNOTs : WILLs
882 : 108
Reduce
882 / 108 : 108 / 108
8.2 : 1
Open Ended Straight Draw >>> Straight
With a Straight draw and 45 unseen cards, there are 8 cards
that will make the Straight and 37 will not.
Therefore, 8 * 37 = 296 is the number of 2-card combinations,
one card of which will make the Straight.
Comb(8, 2) is the number of 2-card combinations that contain
2 cards either of which will make the Straight:
(8 * 7) = 28
(1 * 2)
210