A3s
54.40%
Wins 54.14%, ties 0.52%
JTs
45.60%
Wins 45.34%, ties 0.52%
A3s against JTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 54.142 | 0.517 | 45.341 | 54.400 |
| JTs | 45.341 | 0.517 | 54.142 | 45.600 |
Two suited hands meet here: A3s against JTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
With only 8.80 points between them, the board decides this matchup far more than the cards in hand. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, A3s holds place 38 of 169 and JTs holds place 45.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 14,833,000 | 142,000 | 12,422,000 |
| JTs | 12,422,000 | 142,000 | 14,833,000 |
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.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A3s | 1.193 | 1.847 | 2.206 | 0.838 |
| JTs | 0.838 | 2.206 | 1.847 | 1.193 |
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, A3s peaks at 68.14% on low rainbow flops (nine high or lower) and bottoms out at 48.85% on rainbow flops topped by a ten or better. On rainbow flops topped by a ten or better the numbers flip and JTs is the one ahead.
| Flop | Share of flops | A3s wins | Ties | JTs wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 48.774 | 0.156 | 51.070 | 48.852 |
| Rainbow, nine or lower | 7.042 | 67.727 | 0.823 | 31.450 | 68.139 |
| Two-tone | 46.727 | 52.996 | 0.279 | 46.725 | 53.136 |
| Monotone | 5.273 | 50.771 | 3.434 | 45.795 | 52.488 |
| Paired | 17.091 | 60.211 | 0.649 | 39.140 | 60.535 |
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
Relative to a random opponent, A3s changes by -3.82 points (baseline 58.22%) and JTs by -11.93 points (baseline 57.53%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 54.400 | 58.220 | -3.820 | 0.93439 |
| A3s, rainbow, ten or higher | 48.852 | 58.220 | -9.368 | 0.83909 |
| A3s, rainbow, nine or lower | 68.139 | 58.220 | +9.919 | 1.17037 |
| A3s, two-tone | 53.136 | 58.220 | -5.084 | 0.91268 |
| A3s, monotone | 52.488 | 58.220 | -5.732 | 0.90155 |
| A3s, paired | 60.535 | 58.220 | +2.315 | 1.03976 |
| JTs, all flops | 45.600 | 57.528 | -11.928 | 0.79266 |
| JTs, rainbow, ten or higher | 51.148 | 57.528 | -6.380 | 0.88910 |
| JTs, rainbow, nine or lower | 31.861 | 57.528 | -25.667 | 0.55383 |
| JTs, two-tone | 46.864 | 57.528 | -10.664 | 0.81463 |
| JTs, monotone | 47.512 | 57.528 | -10.016 | 0.82589 |
| JTs, paired | 39.465 | 57.528 | -18.063 | 0.68601 |
Does a shared suit matter?
Split by suits, the deals give A3s 55.98% when the hands overlap in a suit and 53.87% when they do not. A3s does better with a shared suit, by 2.11 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | JTs wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.681 | 0.598 | 43.721 | 55.980 |
| No shared suit | 12 | 75.00 | 53.628 | 0.491 | 45.881 | 53.874 |
How often this matchup comes up
Counting specific cards, A3s against JTs appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A3s takes back $108.80 of it, which is $8.80 more than it put in, and JTs takes back $91.20, $8.80 less than it put in.
Out of 1,000 deals you should see around 542 outright wins for A3s, 453 for JTs, and 5 split pots.
The same matchup from the other side
If you came looking for JTs against A3s, the numbers are the same with the hands swapped: 45.60% and 54.40%.
Keep exploring
Open the calculator with As3s against JhTh 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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