AKs vs JTo: preflop equity

Counting every board, the equity split is 64.84% for AKs and 35.16% for JTo, so AKs leads by 29.68 points.

AKs

64.84%

Wins 64.61%, ties 0.46%

JTo

35.16%

Wins 34.93%, ties 0.46%

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

AKs against JTo: the numbers

Exact preflop results for AKs against JTo, in percent
HandWinsTiesLosesEquity
AKs64.6080.46334.92964.839
JTo34.9290.46364.60835.161

One side is a suited hand, the other is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.

Place 8 of 169 belongs to AKs and place 57 belongs to JTo in the ranking against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs53,102,000381,00028,708,000
JTo28,708,000381,00053,102,000

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.

AKs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.8441.5482.8630.542
JTo0.5422.8631.5481.844

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

Break the boards down by their first three cards and AKs is strongest on low rainbow flops (nine high or lower) (71.15%) and weakest on monotone flops (60.85%). AKs stays ahead on all five textures.

AKs against JTo by flop texture, in percent
FlopShare of flopsAKs winsTiesJTo winsAKs equity
Rainbow, ten or higher23.26061.2470.11838.63561.306
Rainbow, nine or lower7.77070.6820.92728.39171.145
Two-tone46.66764.8320.29134.87764.978
Monotone5.21259.6632.37837.95960.852
Paired17.09167.3150.60832.07767.619

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts AKs from 67.05% by -2.21 points and JTo from 55.25% by -20.09 points.

AKs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops64.83967.045-2.2060.96710
AKs, rainbow, ten or higher61.30667.045-5.7390.91440
AKs, rainbow, nine or lower71.14567.045+4.1001.06115
AKs, two-tone64.97867.045-2.0670.96917
AKs, monotone60.85267.045-6.1930.90763
AKs, paired67.61967.045+0.5741.00856
JTo, all flops35.16155.248-20.0870.63642
JTo, rainbow, ten or higher38.69455.248-16.5540.70037
JTo, rainbow, nine or lower28.85555.248-26.3930.52228
JTo, two-tone35.02255.248-20.2260.63391
JTo, monotone39.14855.248-16.1000.70859
JTo, paired32.38155.248-22.8670.58610

Does a shared suit matter?

Split by suits, the deals give AKs 64.63% when the hands overlap in a suit and 65.05% when they do not. AKs does better with no shared suit, by 0.42 points.

AKs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesJTo winsAKs equity
Share a suit2450.0064.3770.50435.11964.629
No shared suit2450.0064.8380.42234.74065.049

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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $129.68 (a gain of $29.68) and JTo's is $70.32 (a loss of $29.68).

Think in thousands: about 646 of 1,000 go to AKs, about 349 go to JTo, and about 5 are chopped.

The same matchup from the other side

JTo against AKs adds nothing new: it is 35.16% for JTo and 64.84% for AKs, the same figures reversed.

Open the calculator with AsKs against JhTd 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

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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