A4s
54.48%
Wins 54.23%, ties 0.51%
JTs
45.52%
Wins 45.26%, ties 0.51%
A4s against JTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 54.230 | 0.506 | 45.264 | 54.483 |
| JTs | 45.264 | 0.506 | 54.230 | 45.517 |
Both hands are suited hands: A4s and JTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
With only 8.96 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, A4s is number 35 and JTs is number 45.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 14,857,000 | 139,000 | 12,401,000 |
| JTs | 12,401,000 | 139,000 | 14,857,000 |
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) |
|---|---|---|---|---|
| A4s | 1.197 | 1.844 | 2.209 | 0.835 |
| JTs | 0.835 | 2.209 | 1.844 | 1.197 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures A4s' equity moves by 19.43 points, from 48.93% on rainbow flops topped by a ten or better to 68.36% on low rainbow flops (nine high or lower). The lead reverses on rainbow flops topped by a ten or better: there JTs is the favorite even though A4s is ahead overall.
| Flop | Share of flops | A4s wins | Ties | JTs wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 48.852 | 0.156 | 50.992 | 48.930 |
| Rainbow, nine or lower | 7.042 | 67.979 | 0.754 | 31.267 | 68.356 |
| Two-tone | 46.727 | 53.097 | 0.267 | 46.636 | 53.231 |
| Monotone | 5.273 | 50.843 | 3.429 | 45.728 | 52.558 |
| Paired | 17.091 | 60.215 | 0.645 | 39.140 | 60.537 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 59.03% for A4s and 57.53% for JTs. This opponent changes them by -4.55 and -12.01 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 54.483 | 59.034 | -4.551 | 0.92291 |
| A4s, rainbow, ten or higher | 48.930 | 59.034 | -10.104 | 0.82884 |
| A4s, rainbow, nine or lower | 68.356 | 59.034 | +9.322 | 1.15791 |
| A4s, two-tone | 53.231 | 59.034 | -5.803 | 0.90170 |
| A4s, monotone | 52.558 | 59.034 | -6.476 | 0.89030 |
| A4s, paired | 60.537 | 59.034 | +1.503 | 1.02546 |
| JTs, all flops | 45.517 | 57.528 | -12.011 | 0.79121 |
| JTs, rainbow, ten or higher | 51.070 | 57.528 | -6.458 | 0.88774 |
| JTs, rainbow, nine or lower | 31.644 | 57.528 | -25.884 | 0.55006 |
| JTs, two-tone | 46.769 | 57.528 | -10.759 | 0.81298 |
| JTs, monotone | 47.442 | 57.528 | -10.086 | 0.82468 |
| JTs, paired | 39.463 | 57.528 | -18.065 | 0.68598 |
Does a shared suit matter?
Does suit overlap move the numbers? A4s has 56.07% when the hands share a suit and 53.95% when they do not. A4s does better with a shared suit, by 2.12 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | JTs wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.777 | 0.587 | 43.636 | 56.071 |
| No shared suit | 12 | 75.00 | 53.714 | 0.479 | 45.807 | 53.953 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A4s against JTs, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A4s gets $108.96 of it on average and JTs gets $91.04.
A thousand deals look like this: A4s takes 542, JTs takes 453, 5 are ties.
The same matchup from the other side
If you came looking for JTs against A4s, the numbers are the same with the hands swapped: 45.52% and 54.48%.
Keep exploring
Open the calculator with As4s 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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