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Practical Poker Math

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5. Odds in Omaha Hi-Lo<br />

After the Flop Runner – Runner Odds<br />

Back Door Flush Draw Flush 26.5 : 1<br />

Back Door Open Ended<br />

Straight Draw<br />

Straight 19.6 : 1<br />

4 Unpaired Hole Cards Set 81.5 : 1<br />

4 Unpaired Hole Cards Pair 2 Hole Cards 66.56 : 1<br />

or Set<br />

2 Pair in the Hole Quads 494 : 1<br />

Open Back Door<br />

Straight Flush Draw<br />

Straight Flush 329 : 1<br />

Back Door Low Draw >>> Runner-Runner Low<br />

With 2 low cards in the hole and 1 usable low card on the<br />

board, even if the board low card is paired, there are 20 cards<br />

of 5 ranks, any unpaired 2 of which will make the runnerrunner<br />

Low. Comb(20, 2) minus the 30 pairs possible<br />

among the cards from these 5 ranks is the number of 2-card<br />

combinations that will make the runner-runner Low:<br />

(20 * 19) = 190<br />

(1 * 2)<br />

190 – 30 = 160 possible 2-card combinations that WILL<br />

make a runner-runner Low:<br />

Total Possibilities = 990<br />

– WILLs = 160<br />

WILLNOTs = 830<br />

Odds of a Runner-Runner Low<br />

WILLNOTs : WILLs<br />

830 : 160<br />

Reduce<br />

216

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