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KQo vs 44

KQo
VS
44
47.5%
equity for KQo — 44 takes 52.5%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

KQo Win
47.1%
Tie
0.7%
KQo Lose
52.2%
Card combinations
72
KQo vs random
61.5% · #23
44 vs random
57.0% · #48
Breakdown

Win, tie and loss for KQo

Win 47.1%Lose 52.2%

When KQo and 44 get all in before the flop, KQo wins 47.5% of the time and 44 takes 52.5%. Broken down, KQo wins outright 47.1%, chops 0.7% and loses 52.2% — a margin of -5.1 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 47.0% (for example Ks Qh against 4d 4c); with both suits shared it is 48.2% (Ks Qh against 4s 4h). That is a spread of 1.12 points across the 72 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes KQo 39.5%, 44 35.3%, random 25.2%. KQo gives up 7.9 points and 44 gives up 17.2, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, KQo is worth 61.5% against a random hand (rank 23 of 169) and 44 is worth 57.0% (rank 48). The gap between them in the ranking is only 4.5 points, yet head to head the gap is 5.1 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, KQo scoops roughly 47 pots, splits about one, and loses the remaining 52. Against eight random opponents rather than this one specific hand, KQo would be down to 16.7% and 44 to 13.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 44's side, 52.5% is the break-even point for calling an all-in at 0.9:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 52.5% of the pot you are playing for. KQo holds the other 47.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes 44 really does hold exactly 44; against the wider range a player would actually get all in with, KQo's 47.5% moves. Use the individual pages for KQo and 44 to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosKQo EquityWinTieLose
No shared suitKs Qh vs 4d 4c1247.0%46.7%0.6%52.7%
One shared suitKs Qh vs 4s 4d4847.4%47.1%0.7%52.3%
Both suits sharedKs Qh vs 4s 4h1248.2%47.8%0.7%51.5%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

KQo
39.5%
vs heads-up -7.9pt
44
35.3%
vs heads-up -17.2pt
Random third hand
25.2%
Player count

At a bigger table

Random opponentsKQo44
161.5%57.0%
244.4%37.0%
429.2%20.7%
816.7%13.1%

Related

FAQ

KQo or 44 — which is ahead preflop?

44 is the favourite. KQo takes 47.5% and 44 52.5%, a margin of 5.1 points, with 0.7% of hands ending in a chop.

Do the suits change KQo vs 44?

Yes. With no shared suit it is 47.0%, and with both suits shared it is 48.2% — a swing of up to 1.12 points.

What happens three-way?

With one extra random hand in the pot the split is KQo 39.5%, 44 35.3%, random 25.2%. KQo drops 7.9 points compared with heads-up.

431 words / 30 distinct figures — Method