Practical Poker Math

5. Odds in Omaha Hi-Lo
Total Possibilities = 17,296
– WILLs = 9,024
WILLNOTs = 8,272
Odds of Flopping a Counterfeited A or 2 or 3
WILLNOTs : WILLs
8,272 : 9,024
Reduce
8,272 / 9,024 : 9,024/ 9,024
.92 : 1
AA2X >>> Nut Low Draw
To flop a nut Low draw with this hand, the Flop needs to
contain 2 unpaired cards of the ranks 3 through 8 (no card
may counterfeit either the Ace or the Deuce in the hole).
This calculation includes the possibility of flopping a
made nut Low.
There are Comb(24, 2) 2-card combinations from the ranks
3 through 8 and 36 pairs:
(24 * 23) = 276
(1 * 2)
276 – 36 = 240 2-card combinations that will flop the nut
Low draw. Multiply this by all of the remaining cards minus
those that will counterfeit either the Ace or Deuce in the
hole, 41:
240 * 41 = 9,840
With 9,840 3-card combinations that will flop the nut Low
draw to this hand, the odds are
180