KTo vs J9s: preflop equity

In equity, KTo against J9s stands at 59.43% to 40.57%, a gap of 18.86 points.

KTo

59.43%

Wins 59.10%, ties 0.67%

J9s

40.57%

Wins 40.23%, ties 0.67%

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

KTo against J9s: the numbers

Exact preflop results for KTo against J9s, in percent
HandWinsTiesLosesEquity
KTo59.1000.66640.23459.433
J9s40.2340.66659.10040.567

KTo and J9s 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 18.86 point lead is real, and J9s still takes about 402 of every 1,000 deals outright. 0.67% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, KTo sits at number 33 of 169 starting hands and J9s at number 55 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
KTo48,575,000547,00033,069,000
J9s33,069,000547,00048,575,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KTo against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTo1.4651.6922.4850.683
J9s0.6832.4851.6921.465

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, KTo's equity runs from 55.95% on low rainbow flops (nine high or lower) up to 62.52% on paired flops. KTo stays ahead on all five textures.

KTo against J9s by flop texture, in percent
FlopShare of flopsKTo winsTiesJ9s winsKTo equity
Rainbow, ten or higher23.98861.8640.29837.83862.013
Rainbow, nine or lower7.04255.5790.74243.67955.950
Two-tone46.66757.6050.37042.02557.790
Monotone5.21255.6282.44941.92356.852
Paired17.09161.8151.41436.77162.522

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

Each hand has a baseline against a random hand: 59.74% for KTo, 55.66% for J9s. Here the change is -0.31 and -15.09 points.

KTo and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTo, all flops59.43359.739-0.3060.99488
KTo, rainbow, ten or higher62.01359.739+2.2741.03807
KTo, rainbow, nine or lower55.95059.739-3.7890.93657
KTo, two-tone57.79059.739-1.9490.96737
KTo, monotone56.85259.739-2.8870.95167
KTo, paired62.52259.739+2.7831.04659
J9s, all flops40.56755.662-15.0950.72881
J9s, rainbow, ten or higher37.98755.662-17.6750.68246
J9s, rainbow, nine or lower44.05055.662-11.6120.79138
J9s, two-tone42.21055.662-13.4520.75833
J9s, monotone43.14855.662-12.5140.77518
J9s, paired37.47855.662-18.1840.67331

Does a shared suit matter?

When the hands share a suit, KTo holds 59.95%; when they do not, it holds 58.92%. KTo does better with a shared suit, by 1.03 points.

KTo against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTo winsTiesJ9s winsKTo equity
Share a suit2450.0059.5970.70639.69759.950
No shared suit2450.0058.6040.62640.77058.917

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

With $100 from each side, the $200 pot is split on average as $118.86 for KTo and $81.14 for J9s; the first side gains $18.86 per all-in and the second gives up $18.86.

Think in thousands: about 591 of 1,000 go to KTo, about 402 go to J9s, and about 7 are chopped.

The same matchup from the other side

Read it from the other side: J9s against KTo is the same matchup with the numbers swapped, so J9s holds 40.57% and KTo holds 59.43%. That address sends you back to this page.

Try KsTh against Jd9d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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