A4s
54.65%
Wins 54.39%, ties 0.51%
T9s
45.35%
Wins 45.10%, ties 0.51%
A4s against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 54.393 | 0.506 | 45.101 | 54.646 |
| T9s | 45.101 | 0.506 | 54.393 | 45.354 |
The matchup is suited hands on both sides, A4s against T9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
This is close to even money, with A4s a little ahead. Ties are 0.51% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, A4s is number 35 and T9s is number 64 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 14,902,000 | 139,000 | 12,356,000 |
| T9s | 12,356,000 | 139,000 | 14,902,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A4s | 1.205 | 1.838 | 2.217 | 0.830 |
| T9s | 0.830 | 2.217 | 1.838 | 1.205 |
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
The flop changes the picture. A4s does best on paired flops, at 60.44%, and worst on low rainbow flops (nine high or lower), at 51.59%. A4s stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | T9s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 53.971 | 0.193 | 45.836 | 54.068 |
| Rainbow, nine or lower | 6.366 | 51.258 | 0.663 | 48.079 | 51.590 |
| Two-tone | 46.727 | 53.319 | 0.265 | 46.416 | 53.452 |
| Monotone | 5.273 | 51.104 | 3.428 | 45.468 | 52.818 |
| Paired | 17.091 | 60.116 | 0.653 | 39.231 | 60.442 |
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
How much does the opponent matter? Compared with its random-hand 59.03%, A4s changes by -4.38 points, and T9s, from 54.03%, by -8.68.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 54.646 | 59.034 | -4.388 | 0.92567 |
| A4s, rainbow, ten or higher | 54.068 | 59.034 | -4.966 | 0.91588 |
| A4s, rainbow, nine or lower | 51.590 | 59.034 | -7.444 | 0.87390 |
| A4s, two-tone | 53.452 | 59.034 | -5.582 | 0.90544 |
| A4s, monotone | 52.818 | 59.034 | -6.216 | 0.89470 |
| A4s, paired | 60.442 | 59.034 | +1.408 | 1.02385 |
| T9s, all flops | 45.354 | 54.028 | -8.674 | 0.83945 |
| T9s, rainbow, ten or higher | 45.932 | 54.028 | -8.096 | 0.85015 |
| T9s, rainbow, nine or lower | 48.410 | 54.028 | -5.618 | 0.89602 |
| T9s, two-tone | 46.548 | 54.028 | -7.480 | 0.86155 |
| T9s, monotone | 47.182 | 54.028 | -6.846 | 0.87329 |
| T9s, paired | 39.558 | 54.028 | -14.470 | 0.73218 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A4s has 56.21% equity, and with none in common it has 54.12%. A4s does better with a shared suit, by 2.09 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | T9s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.920 | 0.587 | 43.493 | 56.214 |
| No shared suit | 12 | 75.00 | 53.883 | 0.479 | 45.638 | 54.123 |
How often this matchup comes up
A4s against T9s 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
With $100 from each side, the $200 pot is split on average as $109.30 for A4s and $90.70 for T9s; the first side gains $9.30 per all-in and the second gives up $9.30.
Run 1,000 deals and the tally comes out near 544 for A4s, 451 for T9s and 5 ties.
The same matchup from the other side
If you came looking for T9s against A4s, the numbers are the same with the hands swapped: 45.35% and 54.65%.
Keep exploring
As4s against Th9h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 16 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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