Practical Poker Math

5. Odds in Omaha Hi-Lo
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 is the number of 2-card combinations that
will flop the nut Low draw. This is multiplied by all of the
remaining cards minus those that will counterfeit either the
Ace or Deuce in the hole (40):
240 * 40 = 9,600
With 9,600 3-card combinations that will flop the nut Low
draw to this hand, the odds are
A2XX >>> Nut Low
Total Possibilities = 17,296
– WILLs = 9,600
WILLNOTs = 7,696
Odds of Flopping Nut Low Draw
WILLNOTs : WILLs
7,696 : 9,600
Reduce
7,696 / 9,600 : 9,600 / 9,600
.8 : 1
To flop a nut Low with this hand, the board must contain 3
unpaired cards ranked 3 through 8. There are six ranks and
thus Comb(24, 2) 2-card combinations minus the 36 possible
pairs among these ranks:
186