A4s
57.29%
Wins 57.06%, ties 0.46%
T9o
42.71%
Wins 42.48%, ties 0.46%
A4s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 57.064 | 0.460 | 42.476 | 57.294 |
| T9o | 42.476 | 0.460 | 57.064 | 42.706 |
The matchup pits a suited hand against an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
For context, A4s sits at number 35 of 169 starting hands and T9o at number 78 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 46,901,000 | 378,000 | 34,911,000 |
| T9o | 34,911,000 | 378,000 | 46,901,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A4s | 1.342 | 1.752 | 2.354 | 0.745 |
| T9o | 0.745 | 2.354 | 1.752 | 1.342 |
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
If you know the kind of flop that came, the numbers shift: A4s holds 63.23% on paired flops and 53.25% on low rainbow flops (nine high or lower). A4s stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | T9o wins | A4s 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 | 62.907 | 0.653 | 36.440 | 63.233 |
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 A4s from 59.03% by -1.74 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 |
|---|---|---|---|---|
| A4s, all flops | 57.294 | 59.034 | -1.740 | 0.97053 |
| A4s, rainbow, ten or higher | 55.475 | 59.034 | -3.559 | 0.93971 |
| A4s, rainbow, nine or lower | 53.246 | 59.034 | -5.788 | 0.90195 |
| A4s, two-tone | 56.918 | 59.034 | -2.116 | 0.96416 |
| A4s, monotone | 54.732 | 59.034 | -4.302 | 0.92713 |
| A4s, paired | 63.233 | 59.034 | +4.199 | 1.07113 |
| T9o, all flops | 42.706 | 51.532 | -8.826 | 0.82873 |
| 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 | 36.767 | 51.532 | -14.765 | 0.71348 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (A4s at 56.94%) and 24 do not (57.65%). A4s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | T9o wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.687 | 0.503 | 42.810 | 56.938 |
| No shared suit | 24 | 50.00 | 57.441 | 0.416 | 42.143 | 57.649 |
How often this matchup comes up
A4s against T9o is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A4s takes back $114.58 of it, which is $14.58 more than it put in, and T9o takes back $85.42, $14.58 less than it put in.
Over a long run, 1,000 deals split into about 571 for A4s, 425 for T9o and 4 tied.
The same matchup from the other side
One page covers both views. From T9o's side the equity is 42.71%, and from A4s' side it is 57.29%.
Keep exploring
Open the calculator with As4s against Th9d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of A4s against T9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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