JTs vs A2s: preflop equity

The exact count puts A2s at 54.32% and JTs at 45.68% when the two hands see all five board cards.

JTs

45.68%

Wins 45.42%, ties 0.53%

A2s

54.32%

Wins 54.05%, ties 0.53%

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

JTs against A2s: the numbers

Exact preflop results for JTs against A2s, in percent
HandWinsTiesLosesEquity
JTs45.4180.52954.05345.682
A2s54.0530.52945.41854.318

Each side holds one of the suited hands: JTs and A2s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a slim edge: neither hand is far ahead. A split pot comes up on 0.53% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, JTs is number 45 and A2s is number 46.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs12,443,000145,00014,809,000
A2s14,809,000145,00012,443,000

The total is exact: 16 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.

JTs against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs0.8412.2021.8501.189
A2s1.1891.8502.2020.841

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

Split by what the flop looks like, A2s peaks at 67.92% on low rainbow flops (nine high or lower) and bottoms out at 48.77% on rainbow flops topped by a ten or better. JTs is ahead on rainbow flops topped by a ten or better, even though it trails A2s when every flop is counted.

JTs against A2s by flop texture, in percent
FlopShare of flopsJTs winsTiesA2s winsJTs equity
Rainbow, ten or higher23.86751.1480.15648.69651.226
Rainbow, nine or lower7.04231.6320.89267.47632.078
Two-tone46.72746.8150.29052.89546.960
Monotone5.27345.8613.43950.70047.581
Paired17.09139.1400.65360.20739.467

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

How much does the opponent matter? Compared with its random-hand 57.53%, JTs changes by -11.85 points, and A2s, from 57.38%, by -3.06.

JTs and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops45.68257.528-11.8460.79408
JTs, rainbow, ten or higher51.22657.528-6.3020.89045
JTs, rainbow, nine or lower32.07857.528-25.4500.55761
JTs, two-tone46.96057.528-10.5680.81630
JTs, monotone47.58157.528-9.9470.82709
JTs, paired39.46757.528-18.0610.68605
A2s, all flops54.31857.379-3.0610.94665
A2s, rainbow, ten or higher48.77457.379-8.6050.85003
A2s, rainbow, nine or lower67.92257.379+10.5431.18374
A2s, two-tone53.04057.379-4.3390.92438
A2s, monotone52.41957.379-4.9600.91356
A2s, paired60.53357.379+3.1541.05497

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A2s at 55.89%) and 12 do not (53.79%). A2s does better with a shared suit, by 2.10 points.

JTs against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTiesA2s winsJTs equity
Share a suit425.0043.8060.61055.58444.111
No shared suit1275.0045.9550.50253.54346.206

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are JTs against A2s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A2s averages $108.64 from the $200, up $8.64; JTs averages $91.36, down $8.64.

Think in thousands: about 541 of 1,000 go to A2s, about 454 go to JTs, and about 5 are chopped.

The same matchup from the other side

The reversed view, A2s against JTs, shows 54.32% for A2s and 45.68% for JTs. It is the same count, so it redirects here.

The calculator link fills in JsTs against Ah2h, 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

Nothing here is simulated. The 16 deals of JTs against A2s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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