Practical Poker Math

5. Odds in Omaha Hi-Lo
AA23 Double Suited >>> Nut Flush Draw
To flop a nut Flush draw, the Flop need only contain 2 cards
of either of the 2 suits that match the hole cards. With 11
unseen cards of each of 2 suits, the number of possible 2card
combinations that will flop the nut Flush draw is
Comb(11, 2) * 2:
(11 * 10) * 2 = 110
(1 * 2)
Multiply this by 46 (48 unseen cards minus 2), to get 46 *
110 = 5,060 possible Flops that will produce a nut Flush
draw or better to this hand.
This calculation includes the possibility of flopping a
made nut Low.
Total Possibilities = 17,296
– WILLs = 5,060
WILLNOTs = 12,236
Odds of Flopping a Nut Flush Draw or Better
WILLNOTs : WILLs
12,236 : 5,060
Reduce
12,236 / 5,060 : 5,060 / 5,060
2.4 : 1
AA23 Double Suited >>> Flush or Nut Low or
Aces Full
With the caveat that there is some small overlap, we will find
the number of Flops that will fill each of these hands separately,
then add them to find the odds of making any of these
three very strong hands.
178