The Number of Possible Hands in Omaha.

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Probabilities your Hand contains No Pair

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Probabilities your Hand has One Pair.

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Probabilities your Hand has Two Pair

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Probabilities your Hand has Trips

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Probabilities your Hand comes Quads

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I Know You Don't Believe it ! So add them up, they should be:1.0, a certainty. Only five ways it can happen: No Pair, One Pair, Two Pairs, Trips and Quads.

HandsFractionSum.%
No Pair.67611    18304067.6 %
One Pair.30425    8236830.4 %
Two Pairs.01037    28081.04 %
Trips.00921762496   0.9 %
Quads.000048013        .005%
.1.000000027072599.9 % 
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Probabilities for a pair are 30.42 %, further 3 × 2/44 = 0.136363 that you get a Set on the flop, Total 0.136363 × .3042 = 0.041481 the same is true for every one else, with a pair. Better be the biggest Set. Because only 10 / 44 = 0.22727 the full house comes home. Only 1 / 44 = 0.022727 the absolute nuts.
See Count Strategy

Pairs in Hand

100.00%

67.61%

30.42%

1.037%

.92%

.005%

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