Omaha Odds: Hitting The K72r Flop

2009 December 13
tags: maths, omaha
by Sean
How often does a standard preflop range hit a K72r flop?

Using the preflop range we defined in this article, let’s examine how often an opponent will hit something valuable on the prototypical K72 rainbow flop. Please check the previous similar articles for extra information about the charts and what the columns mean.

Hitting K72r - Part I Non-paired starting hands have a 2% chance of hitting top pair/two-pair, and about 0.2% chance for top two (details not shown in the chart).

Hitting K72r - Part II Starting hands containing a pair find top pair or better about 6.6% of the time. They hit a set about 3.3%, an overpair 2.46%, and top pair/two pair 0.8%.

Considering the mentioned 24% VPIP preflop range, an opponent would hit this flop about 28% of the time. When he hits, he has top pair about one third of the time, a set about two times out of five, and an overpair between one fourth and one third of the time. He will quite rarely hit top two.

The conclusion is not a surprise: most often, your opponent won’t have a legitimate hand to play on this flop, which means it is good to cbet. However, when he does a have a legitimate hand, there will be a good part of sets in his range, the rest being AAxx or pair+kickers.

Two-tone flops make for a more difficult exercise, that we will address in another article.

Note: the “Mid-Low Pair + Suited Ace” number, and the corresponding grand total, should be 0.24% higher, since the times when the side card hits the king have not be counted. Moreover, top and bottom or bottom two have not been counted either, but all these numbers remain quite small, and many of these hands are not really playable anyway.

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