KJo vs A6s: preflop equity

In equity, A6s against KJo stands at 59.37% to 40.63%, a gap of 18.74 points.

KJo

40.63%

Wins 40.41%, ties 0.45%

A6s

59.37%

Wins 59.14%, ties 0.45%

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

KJo against A6s: the numbers

Exact preflop results for KJo against A6s, in percent
HandWinsTiesLosesEquity
KJo40.4060.44859.14640.630
A6s59.1460.44840.40659.370

KJo and A6s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A 18.74 point lead is real, and KJo still takes about 404 of every 1,000 deals outright. Split pots make up 0.45% of the boards, and both equity figures count them as half a win each.

For context, KJo sits at number 26 of 169 starting hands and A6s at number 31 when each is run against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo33,210,000368,00048,612,000
A6s48,612,000368,00033,210,000

Exact total: 48 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.

KJo against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo0.6842.4751.6911.461
A6s1.4611.6912.4750.684

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

By flop texture, A6s' equity runs from 51.59% on rainbow flops topped by a ten or better up to 76.96% on low rainbow flops (nine high or lower). A6s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJo against A6s by flop texture, in percent
FlopShare of flopsKJo winsTiesA6s winsKJo equity
Rainbow, ten or higher23.98848.3640.09951.53748.414
Rainbow, nine or lower7.04222.5670.95476.47923.044
Two-tone46.66740.8620.27158.86740.998
Monotone5.21242.6842.37254.94443.870
Paired17.09134.6470.62464.72934.959

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

Relative to a random opponent, KJo changes by -19.94 points (baseline 60.57%) and A6s by -0.54 points (baseline 59.91%).

KJo and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops40.63060.569-19.9390.67081
KJo, rainbow, ten or higher48.41460.569-12.1550.79932
KJo, rainbow, nine or lower23.04460.569-37.5250.38046
KJo, two-tone40.99860.569-19.5710.67688
KJo, monotone43.87060.569-16.6990.72430
KJo, paired34.95960.569-25.6100.57718
A6s, all flops59.37059.906-0.5360.99105
A6s, rainbow, ten or higher51.58659.906-8.3200.86112
A6s, rainbow, nine or lower76.95659.906+17.0501.28461
A6s, two-tone59.00259.906-0.9040.98491
A6s, monotone56.13059.906-3.7760.93697
A6s, paired65.04159.906+5.1351.08572

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (A6s at 59.02%) and 24 do not (59.72%). A6s does better with no shared suit, by 0.70 points.

KJo against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTiesA6s winsKJo equity
Share a suit2450.0040.7360.48958.77540.980
No shared suit2450.0040.0760.40759.51740.280

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Put $100 each into a $200 pot and deal every board once: A6s averages $118.74 back, ahead of its $100 by $18.74, while KJo averages $81.26, short of its $100 by $18.74.

Think in thousands: about 591 of 1,000 go to A6s, about 404 go to KJo, and about 5 are chopped.

The same matchup from the other side

Read it from the other side: A6s against KJo is the same matchup with the numbers swapped, so A6s holds 59.37% and KJo holds 40.63%. That address sends you back to this page.

Open the calculator with KsJh against Ad6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

We counted every case. Each suit pattern of the 48 specific KJo against A6s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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