Practical Poker Math

5. Odds in Omaha Hi-Lo
4 Unpaired Cards in the Hole >>> Runner-Runner
Set
With 4 unpaired cards in the hole, to make a runner-runner
Set the pair that matches one of the 4 hole cards will have to
hit on the Turn and another on the River. There are 3 pairs
outstanding for each of the 4 ranks in the hole. 4 * 3 = 12
pairs will make a Set to one of the hole cards:
Total Possibilities = 990
– WILLs = 12
WILLNOTs = 978
Odds of a Runner-Runner Set
WILLNOTs : WILLs
978 : 12
Reduce
978 / 12 : 12 / 12
81.5 : 1
4 Unpaired Hole Cards >>> Runner-Runner 2 Pair
or Set
With 4 unpaired cards in the hole there are 12 cards, any 2
of which will make a runner-runner 2 pair or a Set to the
cards in the hole — Comb(12, 2):
(12 * 11) = 66
(1 * 2)
66 possible 2-card combinations that WILL make a runnerrunner
2 pair or a Set to 4 unpaired cards in the hole:
Total Possibilities = 990
– WILLs = 66
WILLNOTs = 924
220