Practical Poker Math

5. Odds in Omaha Hi-Lo
Reduce
17,232 / 64 : 64 / 64
269.3 : 1
A2XX Suited Ace >>> Nut Low or Ace Flush
There are 3,840 Flops that will make a nut Low to this hand.
To flop an Ace-High Flush the Flop must contain 3 cards
from the same suit as the Ace — Comb(11, 3):
(11 * 10 * 9) = 165
(1 * 2 * 3)
3,840 + 165 = 4,005 is the number of 3-card combinations
that will flop a nut Low or an Ace-High Flush to this hand:
Total Possibilities = 17,296
– WILLs = 4,005
WILLNOTs = 13,291
Odds of Flopping a Nut Low or an Ace High Flush
WILLNOTs : WILLs
13,291 : 4,005
Reduce
13,291 / 4,005 : 4,005 / 4,005
3.3 : 1
A2XX >>> Counterfeit Either or Both the Ace or
the Deuce at Least Once
To find the odds of a counterfeited A or 2 at least once on the
Flop, multiply the number of 2-card combinations possible
from the 48 unseen cards by the number of remaining Aces
and Deuces — Comb(48, 2) * 6:
188