A8s vs JTs: preflop equity

Over all 1,712,304 boards that can follow this deal, A8s finishes with 55.25% of the pot and JTs with 44.75%.

A8s

55.25%

Wins 55.01%, ties 0.47%

JTs

44.75%

Wins 44.52%, ties 0.47%

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

A8s against JTs: the numbers

Exact preflop results for A8s against JTs, in percent
HandWinsTiesLosesEquity
A8s55.0100.47244.51855.246
JTs44.5180.47255.01044.754

A8s 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.

A 10.50 point lead is real, and JTs still takes about 445 of every 1,000 deals outright. The tie share is 0.47%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, A8s is number 21 and JTs is number 45.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s15,071,000129,00012,197,000
JTs12,197,000129,00015,071,000

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.

A8s against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.2341.8182.2460.810
JTs0.8102.2461.8181.234

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

If you know the kind of flop that came, the numbers shift: A8s holds 69.52% on low rainbow flops (nine high or lower) and 49.75% on rainbow flops topped by a ten or better. JTs takes over on rainbow flops topped by a ten or better, so the favorite before the flop is the underdog on those boards.

A8s against JTs by flop texture, in percent
FlopShare of flopsA8s winsTiesJTs winsA8s equity
Rainbow, ten or higher23.86749.6810.14650.17349.754
Rainbow, nine or lower7.04269.2110.61930.17069.520
Two-tone46.72753.8680.22945.90353.983
Monotone5.27351.3253.39445.28153.022
Paired17.09160.8590.62838.51361.173

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

Each hand has a baseline against a random hand: 61.94% for A8s, 57.53% for JTs. Here the change is -6.69 and -12.78 points.

A8s and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops55.24661.944-6.6980.89187
A8s, rainbow, ten or higher49.75461.944-12.1900.80321
A8s, rainbow, nine or lower69.52061.944+7.5761.12230
A8s, two-tone53.98361.944-7.9610.87148
A8s, monotone53.02261.944-8.9220.85597
A8s, paired61.17361.944-0.7710.98755
JTs, all flops44.75457.528-12.7740.77795
JTs, rainbow, ten or higher50.24657.528-7.2820.87342
JTs, rainbow, nine or lower30.48057.528-27.0480.52983
JTs, two-tone46.01757.528-11.5110.79991
JTs, monotone46.97857.528-10.5500.81661
JTs, paired38.82757.528-18.7010.67492

Does a shared suit matter?

The suit split reads 56.97% for A8s with a shared suit and 54.67% without one. A8s does better with a shared suit, by 2.30 points.

A8s against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesJTs winsA8s equity
Share a suit425.0056.6970.54642.75756.970
No shared suit1275.0054.4470.44845.10554.671

How often this matchup comes up

A8s 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

Put $100 each into a $200 pot and deal every board once: A8s averages $110.50 back, ahead of its $100 by $10.50, while JTs averages $89.50, short of its $100 by $10.50.

Out of 1,000 deals you should see around 550 outright wins for A8s, 445 for JTs, and 5 split pots.

The same matchup from the other side

JTs versus A8s is this same page seen from the other hand: 44.75% for JTs, 55.25% for A8s.

The calculator link fills in As8s against JhTh, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

This is an exact count with no sampling. For the 16 ways to deal one A8s and one JTs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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