KTs vs A2s: preflop equity

Averaged over every possible board, A2s is ahead of KTs by 13.24 points of equity, 56.62% to 43.38%.

KTs

43.38%

Wins 43.11%, ties 0.55%

A2s

56.62%

Wins 56.34%, ties 0.55%

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

KTs against A2s: the numbers

Exact preflop results for KTs against A2s, in percent
HandWinsTiesLosesEquity
KTs43.1060.54556.34943.378
A2s56.3490.54543.10656.622

The matchup is suited hands on both sides, KTs against A2s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.55% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

KTs ranks number 22 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs11,810,000149,00015,438,000
A2s15,438,000149,00011,810,000

Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KTs against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs0.7662.3201.7751.305
A2s1.3051.7752.3200.766

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

By flop texture, A2s' equity runs from 50.65% on rainbow flops topped by a ten or better up to 73.27% on low rainbow flops (nine high or lower). A2s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTs against A2s by flop texture, in percent
FlopShare of flopsKTs winsTiesA2s winsKTs equity
Rainbow, ten or higher23.86749.2670.16350.57049.349
Rainbow, nine or lower7.04226.2380.99072.77226.733
Two-tone46.72744.4550.31055.23544.610
Monotone5.27344.1203.44752.43345.843
Paired17.09137.4480.64561.90737.771

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -18.41 points for KTs, from 61.79%, and -0.76 for A2s, from 57.38%.

KTs and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops43.37861.789-18.4110.70203
KTs, rainbow, ten or higher49.34961.789-12.4400.79867
KTs, rainbow, nine or lower26.73361.789-35.0560.43265
KTs, two-tone44.61061.789-17.1790.72197
KTs, monotone45.84361.789-15.9460.74193
KTs, paired37.77161.789-24.0180.61129
A2s, all flops56.62257.379-0.7570.98681
A2s, rainbow, ten or higher50.65157.379-6.7280.88274
A2s, rainbow, nine or lower73.26757.379+15.8881.27690
A2s, two-tone55.39057.379-1.9890.96534
A2s, monotone54.15757.379-3.2220.94385
A2s, paired62.22957.379+4.8501.08453

Does a shared suit matter?

Split by suits, the deals give A2s 58.48% when the hands overlap in a suit and 56.00% when they do not. A2s does better with a shared suit, by 2.48 points.

KTs against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTiesA2s winsKTs equity
Share a suit425.0041.2070.62858.16541.521
No shared suit1275.0043.7380.51855.74443.997

How often this matchup comes up

KTs against A2s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

With $100 from each side, the $200 pot is split on average as $113.24 for A2s and $86.76 for KTs; the first side gains $13.24 per all-in and the second gives up $13.24.

A thousand deals look like this: A2s takes 564, KTs takes 431, 5 are ties.

The same matchup from the other side

A2s against KTs adds nothing new: it is 56.62% for A2s and 43.38% for KTs, the same figures reversed.

The calculator link fills in KsTs against Ah2h, 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 16 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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