A8s vs JTo: preflop equity

The exact count puts A8s at 57.89% and JTo at 42.11% when the two hands see all five board cards.

A8s

57.89%

Wins 57.67%, ties 0.43%

JTo

42.11%

Wins 41.90%, ties 0.43%

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

A8s against JTo: the numbers

Exact preflop results for A8s against JTo, in percent
HandWinsTiesLosesEquity
A8s57.6730.42641.90157.886
JTo41.9010.42657.67342.114

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

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.43 are split pots, and the equity figures already include them.

A8s ranks number 21 of 169 starting hands, and JTo ranks number 57, by equity against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s47,402,000350,00034,439,000
JTo34,439,000350,00047,402,000

The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

A8s against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.3751.7342.3870.728
JTo0.7282.3871.7341.375

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

By flop texture, A8s' equity runs from 51.03% on rainbow flops topped by a ten or better up to 71.79% on low rainbow flops (nine high or lower). A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A8s against JTo by flop texture, in percent
FlopShare of flopsA8s winsTiesJTo winsA8s equity
Rainbow, ten or higher23.98850.9540.15348.89351.031
Rainbow, nine or lower7.04271.4680.64527.88771.790
Two-tone46.66757.2960.24442.46057.418
Monotone5.21253.6802.35143.96954.856
Paired17.09163.6700.62935.70163.984

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

Against one random hand instead, A8s holds 61.94% and JTo holds 55.25%. Facing each other changes that by -4.05 points for A8s and -13.14 points for JTo.

A8s and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops57.88661.944-4.0580.93449
A8s, rainbow, ten or higher51.03161.944-10.9130.82382
A8s, rainbow, nine or lower71.79061.944+9.8461.15895
A8s, two-tone57.41861.944-4.5260.92693
A8s, monotone54.85661.944-7.0880.88557
A8s, paired63.98461.944+2.0401.03293
JTo, all flops42.11455.248-13.1340.76227
JTo, rainbow, ten or higher48.96955.248-6.2790.88635
JTo, rainbow, nine or lower28.21055.248-27.0380.51061
JTo, two-tone42.58255.248-12.6660.77074
JTo, monotone45.14455.248-10.1040.81712
JTo, paired36.01655.248-19.2320.65190

Does a shared suit matter?

The suit split reads 57.54% for A8s with a shared suit and 58.23% without one. A8s does better with no shared suit, by 0.69 points.

A8s against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesJTo winsA8s equity
Share a suit2450.0057.3090.46742.22457.543
No shared suit2450.0058.0380.38541.57758.230

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are A8s against JTo, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A8s' average share is $115.78 (a gain of $15.78) and JTo's is $84.22 (a loss of $15.78).

Think in thousands: about 577 of 1,000 go to A8s, about 419 go to JTo, and about 4 are chopped.

The same matchup from the other side

Swap the hands and you get JTo with 42.11% against A8s with 57.89%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with As8s 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

Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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