Hand odds / KQ vs 33

KQ vs 33: odds and equity

In short

33 wins 51.5% of the time against KQo all in before the flop, KQo wins 47.7%, and they split the pot 0.8% of the time. 33 is a coin flip. With KQs vs 33 the split is 50.6% to 49.4% in equity.

KQo

48.1%

vs

33

51.9%

Equity: win% plus half of the 0.8% split pots. 33 is a coin flip.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
KQs vs 3350.2%49.0%0.8%50.6%
KQo vs 3347.7%51.5%0.8%48.1%

What the flop does to it

When no K or Q comes on the flop (76.3% of flops), 33 has 62.5% equity going to the turn. When one does, 33 drops to 17.5%.

KQo has two overcards, so six cards in the deck pair it. That's why it's a race rather than a big favourite: plenty of flops give KQo a pair.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves KQo always and the Big Blind calls with 33 always, so this exact all-in comes straight off the charts.

How often each hand shoves or calls in our solved 6-max chip-EV charts. A row with both columns high is a spot where this exact all-in is correct for both players. See every chart.

Common questions

Who is the favourite, KQ or 33?
33. All in preflop it has 51.9% equity against KQo: 51.5% wins plus half of the 0.8% split pots. That's a coin flip.
Do suits change the odds?
A little. KQs vs 33 is 50.6% to 49.4%; KQo vs 33 is 48.1% to 51.9%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no K or Q comes on the flop (76.3% of flops), 33 has 62.5% equity going to the turn. When one does, 33 drops to 17.5%.
When does KQ vs 33 happen in push/fold?
At 10BB in 6-max, the Button shoves KQo always and the Big Blind calls with 33 always, so this exact all-in comes straight off the charts.
How were these odds worked out?
By counting every possible five-card board for every combination of suits: 72 card combinations for KQo vs 33, 1,712,304 boards each. The numbers are exact, not simulated.

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