A3s
57.03%
Wins 56.80%, ties 0.47%
JTo
42.97%
Wins 42.73%, ties 0.47%
A3s against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 56.796 | 0.474 | 42.730 | 57.033 |
| JTo | 42.730 | 0.474 | 56.796 | 42.967 |
A3s and JTo are a suited hand and an offsuit hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 14.06 point lead is real, and JTo still takes about 427 of every 1,000 deals outright. About 0.47% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
A3s ranks number 38 of 169 starting hands, and JTo ranks number 57, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 46,681,000 | 390,000 | 35,120,000 |
| JTo | 35,120,000 | 390,000 | 46,681,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A3s | 1.327 | 1.761 | 2.340 | 0.753 |
| JTo | 0.753 | 2.340 | 1.761 | 1.327 |
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
If you know the kind of flop that came, the numbers shift: A3s holds 70.38% on low rainbow flops (nine high or lower) and 50.10% on rainbow flops topped by a ten or better. A3s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A3s wins | Ties | JTo wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.021 | 0.165 | 49.814 | 50.103 |
| Rainbow, nine or lower | 7.042 | 69.952 | 0.858 | 29.190 | 70.381 |
| Two-tone | 46.667 | 56.422 | 0.297 | 43.281 | 56.570 |
| Monotone | 5.212 | 53.187 | 2.391 | 44.422 | 54.383 |
| Paired | 17.091 | 63.007 | 0.649 | 36.344 | 63.331 |
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
A random hand would give A3s 58.22% and JTo 55.25%. Against each other the change is -1.19 points for A3s and -12.28 for JTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 57.033 | 58.220 | -1.187 | 0.97961 |
| A3s, rainbow, ten or higher | 50.103 | 58.220 | -8.117 | 0.86058 |
| A3s, rainbow, nine or lower | 70.381 | 58.220 | +12.161 | 1.20888 |
| A3s, two-tone | 56.570 | 58.220 | -1.650 | 0.97166 |
| A3s, monotone | 54.383 | 58.220 | -3.837 | 0.93409 |
| A3s, paired | 63.331 | 58.220 | +5.111 | 1.08779 |
| JTo, all flops | 42.967 | 55.248 | -12.281 | 0.77771 |
| JTo, rainbow, ten or higher | 49.897 | 55.248 | -5.351 | 0.90315 |
| JTo, rainbow, nine or lower | 29.619 | 55.248 | -25.629 | 0.53611 |
| JTo, two-tone | 43.430 | 55.248 | -11.818 | 0.78609 |
| JTo, monotone | 45.617 | 55.248 | -9.631 | 0.82568 |
| JTo, paired | 36.669 | 55.248 | -18.579 | 0.66372 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A3s holds 56.67%. In 24 they do not, and it holds 57.39%. A3s does better with no shared suit, by 0.72 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | JTo wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.413 | 0.516 | 43.071 | 56.671 |
| No shared suit | 24 | 50.00 | 57.179 | 0.431 | 42.390 | 57.394 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A3s gets $114.06 of it on average and JTo gets $85.94.
Scaled to 1,000 deals, that is roughly 568 wins for A3s, 427 for JTo and 5 chopped pots.
The same matchup from the other side
Read it from the other side: JTo against A3s is the same matchup with the numbers swapped, so JTo holds 42.97% and A3s holds 57.03%. That address sends you back to this page.
Keep exploring
Open the calculator with As3s 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
Each figure is a complete count over boards. Take the 48 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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