Hand odds / KQ vs 44

KQ vs 44: odds and equity

In short

44 wins 52.2% of the time against KQo all in before the flop, KQo wins 47.2%, and they split the pot 0.7% of the time. 44 is a coin flip. With KQs vs 44 the split is 50.0% to 50.0% in equity.

KQo

47.5%

vs

44

52.5%

Equity: win% plus half of the 0.7% split pots. 44 is a coin flip.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
KQs vs 4449.7%49.7%0.7%50.0%
KQo vs 4447.2%52.2%0.7%47.5%

What the flop does to it

When no K or Q comes on the flop (76.3% of flops), 44 has 63.3% equity going to the turn. When one does, 44 drops to 17.7%.

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 44 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 44?
44. All in preflop it has 52.5% equity against KQo: 52.2% wins plus half of the 0.7% split pots. That's a coin flip.
Do suits change the odds?
A little. KQs vs 44 is 50.0% to 50.0%; KQo vs 44 is 47.5% to 52.5%. 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), 44 has 63.3% equity going to the turn. When one does, 44 drops to 17.7%.
When does KQ vs 44 happen in push/fold?
At 10BB in 6-max, the Button shoves KQo always and the Big Blind calls with 44 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 44, 1,712,304 boards each. The numbers are exact, not simulated.

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