Practical Poker Math

5. Odds in Omaha Hi-Lo
than for almost any other hand. You will flop a nut Low draw
over 74% of the time with this hand.
AA23 >>> Nut Low Draw
To flop a nut Low draw with this hand, the Flop needs to
contain any 2-card combination that has 2 unpaired low
cards, exactly one of which may be of the same rank as any
one of the hole cards.
This calculation includes the possibility of flopping a
made nut Low.
There are 32 cards in the deck below the rank of 9, and 4 of
them are in the hole. The number of 2-card combinations
that contain 2 cards below the rank of 9 is Comb(28, 2):
(28 * 27) = 378
(1 * 2)
This number includes 30 pairs from the ranks 4 through 8,
1 pair of Aces, 3 pairs of Deuces, and 3 pairs of Treys, for a
total of 37 pairs that must be subtracted from 378:
378 – 37 = 341
From this, subtract the unpaired 2-card combinations both
of which match hole cards: 6 A2 combinations, plus 6 A3
combinations, plus 9 2?3 combinations, for a total of 21
combinations that match 2 hole cards:
341 – 21 = 320
To include the possibility of flopping a made Low hand,
multiply this number (320), by the number of remaining
cards in the deck (48), minus the 2 Flop cards that make the
174