ATs
62.93%
Wins 62.68%, ties 0.50%
75s
37.07%
Wins 36.82%, ties 0.50%
ATs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.676 | 0.500 | 36.824 | 62.926 |
| 75s | 36.824 | 0.500 | 62.676 | 37.074 |
Here suited hands face each other, ATs on one side and 75s on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.50% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, ATs is number 13 and 75s is number 124 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,171,000 | 137,000 | 10,089,000 |
| 75s | 10,089,000 | 137,000 | 17,171,000 |
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) |
|---|---|---|---|---|
| ATs | 1.697 | 1.596 | 2.716 | 0.589 |
| 75s | 0.589 | 2.716 | 1.596 | 1.697 |
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
Split by what the flop looks like, ATs peaks at 69.66% on rainbow flops topped by a ten or better and bottoms out at 37.81% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though ATs is ahead overall.
| Flop | Share of flops | ATs wins | Ties | 75s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.551 | 0.213 | 30.236 | 69.657 |
| Rainbow, nine or lower | 6.314 | 37.538 | 0.539 | 61.923 | 37.807 |
| Two-tone | 46.727 | 62.102 | 0.257 | 37.641 | 62.231 |
| Monotone | 5.273 | 58.377 | 3.437 | 38.186 | 60.096 |
| Paired | 17.091 | 64.963 | 0.657 | 34.380 | 65.292 |
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
How much does the opponent matter? Compared with its random-hand 64.60%, ATs changes by -1.67 points, and 75s, from 43.68%, by -6.61.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 62.926 | 64.602 | -1.676 | 0.97406 |
| ATs, rainbow, ten or higher | 69.657 | 64.602 | +5.055 | 1.07825 |
| ATs, rainbow, nine or lower | 37.807 | 64.602 | -26.795 | 0.58523 |
| ATs, two-tone | 62.231 | 64.602 | -2.371 | 0.96330 |
| ATs, monotone | 60.096 | 64.602 | -4.506 | 0.93025 |
| ATs, paired | 65.292 | 64.602 | +0.690 | 1.01068 |
| 75s, all flops | 37.074 | 43.676 | -6.602 | 0.84884 |
| 75s, rainbow, ten or higher | 30.343 | 43.676 | -13.333 | 0.69473 |
| 75s, rainbow, nine or lower | 62.193 | 43.676 | +18.517 | 1.42396 |
| 75s, two-tone | 37.769 | 43.676 | -5.907 | 0.86475 |
| 75s, monotone | 39.904 | 43.676 | -3.772 | 0.91364 |
| 75s, paired | 34.708 | 43.676 | -8.968 | 0.79467 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, ATs has 65.23%; looking only at deals where they do not, 62.16%. ATs does better with a shared suit, by 3.07 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 75s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.937 | 0.578 | 34.485 | 65.226 |
| No shared suit | 12 | 75.00 | 61.922 | 0.474 | 37.604 | 62.159 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. ATs' equity of 62.93% is worth $125.86, a $25.86 edge, and 75s' 37.07% is worth $74.14, which is $25.86 under its stake.
Scaled to 1,000 deals, that is roughly 627 wins for ATs, 368 for 75s and 5 chopped pots.
The same matchup from the other side
One page covers both views. From 75s' side the equity is 37.07%, and from ATs' side it is 62.93%.
Keep exploring
The calculator link fills in AsTs against 7h5h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one 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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