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22 vs 65s

22
VS
65s
47.8%
equity for 22 — 65s takes 52.2%

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

22 Win
46.3%
Tie
3.1%
22 Lose
50.6%
Card combinations
24
22 vs random
50.2% · #88
65s vs random
43.0% · #128
Breakdown

Win, tie and loss for 22

Win 46.3%Lose 50.6%

When 22 and 65s get all in before the flop, 22 wins 47.8% of the time and 65s takes 52.2%. Broken down, 22 wins outright 46.3%, chops 3.1% and loses 50.6% — a margin of -4.3 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 47.6% (for example 2s 2h against 6d 5d); with one shared suit it is 48.0% (2s 2h against 6s 5s). That is a spread of 0.43 points across the 24 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 22 29.2%, 65s 34.5%, random 36.3%. 22 gives up 18.6 points and 65s gives up 17.7, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, 22 is worth 50.2% against a random hand (rank 88 of 169) and 65s is worth 43.0% (rank 128). The gap between them in the ranking is only 7.2 points, yet head to head the gap is 4.3 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, 22 scoops roughly 46 pots, splits about 3, and loses the remaining 51. Against eight random opponents rather than this one specific hand, 22 would be down to 12.5% and 65s to 12.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 65s's side, 52.2% is the break-even point for calling an all-in at 0.92:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 52.2% of the pot you are playing for. 22 holds the other 47.8% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 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 65s really does hold exactly 65s; against the wider range a player would actually get all in with, 22's 47.8% moves. Use the individual pages for 22 and 65s 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.

ConditionExampleCombos22 EquityWinTieLose
No shared suit2s 2h vs 6d 5d1247.6%46.1%3.1%50.8%
One shared suit2s 2h vs 6s 5s1248.0%46.5%3.1%50.4%
Three-way

Adding a random third hand

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

22
29.2%
vs heads-up -18.6pt
65s
34.5%
vs heads-up -17.7pt
Random third hand
36.3%
Player count

At a bigger table

Random opponents2265s
150.2%43.0%
230.2%30.1%
417.8%19.5%
812.5%12.6%

Related

FAQ

22 or 65s — which is ahead preflop?

65s is the favourite. 22 takes 47.8% and 65s 52.2%, a margin of 4.3 points, with 3.1% of hands ending in a chop.

Do the suits change 22 vs 65s?

Yes. With no shared suit it is 47.6%, and with one shared suit it is 48.0% — a swing of up to 0.43 points.

What happens three-way?

With one extra random hand in the pot the split is 22 29.2%, 65s 34.5%, random 36.3%. 22 drops 18.6 points compared with heads-up.

424 words / 34 distinct figures — Method