KTs vs 22: preflop equity

Over all 1,712,304 boards that can follow this deal, KTs finishes with 51.90% of the pot and 22 with 48.10%.

KTs

51.90%

Wins 51.45%, ties 0.89%

22

48.10%

Wins 47.66%, ties 0.89%

Equity counts a tie as half a win. Exact over every board.

KTs against 22: the numbers

Exact preflop results for KTs against 22, in percent
HandWinsTiesLosesEquity
KTs51.4540.89347.65351.901
2247.6530.89351.45448.099

KTs, a suited hand, plays 22, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

This is close to even money, with KTs a little ahead. 0.89% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, KTs is number 22 of the 169 starting hands and 22 is number 87.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs21,145,000367,00019,583,000
2219,583,000367,00021,145,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KTs against 22 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.0791.9432.0990.927
220.9272.0991.9431.079

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

KTs prefers rainbow flops topped by a ten or better, where it holds 56.97%, and likes low rainbow flops (nine high or lower) least, where it holds 26.53%. 22 is ahead on low rainbow flops (nine high or lower), even though it trails KTs when every flop is counted.

KTs against 22 by flop texture, in percent
FlopShare of flopsKTs winsTies22 winsKTs equity
Rainbow, ten or higher24.59556.7680.39842.83456.967
Rainbow, nine or lower6.31426.0041.04772.94926.528
Two-tone46.54552.4950.49547.01052.743
Monotone5.21249.5443.84246.61451.465
Paired17.33450.9631.72147.31651.823

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -9.89 points for KTs, from 61.79%, and -2.23 for 22, from 50.33%.

KTs and 22 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops51.90161.789-9.8880.83997
KTs, rainbow, ten or higher56.96761.789-4.8220.92196
KTs, rainbow, nine or lower26.52861.789-35.2610.42933
KTs, two-tone52.74361.789-9.0460.85360
KTs, monotone51.46561.789-10.3240.83292
KTs, paired51.82361.789-9.9660.83871
22, all flops48.09950.334-2.2350.95560
22, rainbow, ten or higher43.03350.334-7.3010.85495
22, rainbow, nine or lower73.47250.334+23.1381.45969
22, two-tone47.25750.334-3.0770.93887
22, monotone48.53550.334-1.7990.96426
22, paired48.17750.334-2.1570.95715

Does a shared suit matter?

The suit split reads 51.73% for KTs with a shared suit and 52.07% without one. KTs does better with no shared suit, by 0.34 points.

KTs against 22 by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTies22 winsKTs equity
Share a suit1250.0051.2710.91447.81551.728
No shared suit1250.0051.6370.87347.49052.073

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KTs takes back $103.80 of it, which is $3.80 more than it put in, and 22 takes back $96.20, $3.80 less than it put in.

Over a long run, 1,000 deals split into about 515 for KTs, 476 for 22 and 9 tied.

The same matchup from the other side

Swap the hands and you get 22 with 48.10% against KTs with 51.90%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in KsTs against 2h2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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