A7s vs JTs: preflop equity

If A7s and JTs get all the chips in before the flop, A7s owns 54.75% of the pot in the long run and JTs owns 45.25%.

A7s

54.75%

Wins 54.51%, ties 0.47%

JTs

45.25%

Wins 45.02%, ties 0.47%

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

A7s against JTs: the numbers

Exact preflop results for A7s against JTs, in percent
HandWinsTiesLosesEquity
A7s54.5100.46945.02154.745
JTs45.0210.46954.51045.255

A7s and JTs are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A7s leads by less than 10 points of equity, so the result of any one deal is close to a toss-up. The tie share is 0.47%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, A7s is number 24 of the 169 starting hands and JTs is number 45.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s14,934,000128,00012,334,000
JTs12,334,000128,00014,934,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A7s against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.2101.8352.2210.827
JTs0.8272.2211.8351.210

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

Across the five flop textures A7s' equity moves by 20.23 points, from 49.05% on rainbow flops topped by a ten or better to 69.28% on low rainbow flops (nine high or lower). The overall edge for A7s hides rainbow flops topped by a ten or better, where JTs comes out in front.

A7s against JTs by flop texture, in percent
FlopShare of flopsA7s winsTiesJTs winsA7s equity
Rainbow, ten or higher23.86748.9750.15750.86849.053
Rainbow, nine or lower7.04269.0030.55030.44769.278
Two-tone46.72753.3630.22546.41253.475
Monotone5.27350.9893.39445.61752.686
Paired17.09160.4930.63238.87560.809

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

The table below sets each hand against its own random-hand baseline: a change of -6.23 points for A7s, from 60.98%, and -12.28 for JTs, from 57.53%.

A7s and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops54.74560.984-6.2390.89769
A7s, rainbow, ten or higher49.05360.984-11.9310.80436
A7s, rainbow, nine or lower69.27860.984+8.2941.13600
A7s, two-tone53.47560.984-7.5090.87687
A7s, monotone52.68660.984-8.2980.86393
A7s, paired60.80960.984-0.1750.99713
JTs, all flops45.25557.528-12.2730.78666
JTs, rainbow, ten or higher50.94757.528-6.5810.88560
JTs, rainbow, nine or lower30.72257.528-26.8060.53404
JTs, two-tone46.52557.528-11.0030.80874
JTs, monotone47.31457.528-10.2140.82245
JTs, paired39.19157.528-18.3370.68125

Does a shared suit matter?

Does suit overlap move the numbers? A7s has 56.39% when the hands share a suit and 54.20% when they do not. A7s does better with a shared suit, by 2.19 points.

A7s against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTiesJTs winsA7s equity
Share a suit425.0056.1170.54443.33956.389
No shared suit1275.0053.9750.44345.58254.197

How often this matchup comes up

A7s against JTs 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

To see what the equity is worth, imagine $100 each in a $200 pot. A7s is worth $109.50 on average (+$9.50); JTs is worth $90.50 (-$9.50).

Run 1,000 deals and the tally comes out near 545 for A7s, 450 for JTs and 5 ties.

The same matchup from the other side

JTs versus A7s is this same page seen from the other hand: 45.25% for JTs, 54.75% for A7s.

Try As7s against JhTh 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

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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