A3s
57.29%
Wins 57.06%, ties 0.46%
T9o
42.71%
Wins 42.48%, ties 0.46%
A3s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 57.063 | 0.461 | 42.476 | 57.293 |
| T9o | 42.476 | 0.461 | 57.063 | 42.707 |
The first hand is a suited hand; the second is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, A3s holds place 38 of 169 and T9o holds place 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 46,900,000 | 379,000 | 34,911,000 |
| T9o | 34,911,000 | 379,000 | 46,900,000 |
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 | 1.342 | 1.752 | 2.354 | 0.745 |
| T9o | 0.745 | 2.354 | 1.752 | 1.342 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, A3s peaks at 63.23% on paired flops and bottoms out at 53.25% on low rainbow flops (nine high or lower). A3s stays ahead on all five textures.
| Flop | Share of flops | A3s wins | Ties | T9o wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 55.374 | 0.202 | 44.424 | 55.475 |
| Rainbow, nine or lower | 6.365 | 52.901 | 0.689 | 46.410 | 53.246 |
| Two-tone | 46.667 | 56.778 | 0.279 | 42.943 | 56.918 |
| Monotone | 5.212 | 53.542 | 2.380 | 44.078 | 54.732 |
| Paired | 17.091 | 62.903 | 0.657 | 36.440 | 63.231 |
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
Compared with a random opponent, this matchup shifts A3s from 58.22% by -0.93 points and T9o from 51.53% by -8.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 57.293 | 58.220 | -0.927 | 0.98408 |
| A3s, rainbow, ten or higher | 55.475 | 58.220 | -2.745 | 0.95285 |
| A3s, rainbow, nine or lower | 53.246 | 58.220 | -4.974 | 0.91457 |
| A3s, two-tone | 56.918 | 58.220 | -1.302 | 0.97764 |
| A3s, monotone | 54.732 | 58.220 | -3.488 | 0.94009 |
| A3s, paired | 63.231 | 58.220 | +5.011 | 1.08607 |
| T9o, all flops | 42.707 | 51.532 | -8.825 | 0.82875 |
| T9o, rainbow, ten or higher | 44.525 | 51.532 | -7.007 | 0.86403 |
| T9o, rainbow, nine or lower | 46.754 | 51.532 | -4.778 | 0.90728 |
| T9o, two-tone | 43.082 | 51.532 | -8.450 | 0.83602 |
| T9o, monotone | 45.268 | 51.532 | -6.264 | 0.87844 |
| T9o, paired | 36.769 | 51.532 | -14.763 | 0.71352 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A3s holds 56.94%. In 24 they do not, and it holds 57.65%. A3s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | T9o wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.686 | 0.504 | 42.810 | 56.938 |
| No shared suit | 24 | 50.00 | 57.441 | 0.417 | 42.142 | 57.649 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A3s in one seat and T9o in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A3s is worth $114.58 on average (+$14.58); T9o is worth $85.42 (-$14.58).
Run 1,000 deals and the tally comes out near 571 for A3s, 425 for T9o and 4 ties.
The same matchup from the other side
Read it from the other side: T9o against A3s is the same matchup with the numbers swapped, so T9o holds 42.71% and A3s holds 57.29%. That address sends you back to this page.
Keep exploring
As3s against Th9d 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
Nothing here is simulated. The 48 deals of A3s against T9o 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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