ATo
59.05%
Wins 58.84%, ties 0.41%
76s
40.95%
Wins 40.75%, ties 0.41%
ATo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 58.839 | 0.413 | 40.748 | 59.045 |
| 76s | 40.748 | 0.413 | 58.839 | 40.955 |
The first hand is an offsuit hand; the second is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 18.10 point lead is real, and 76s still takes about 408 of every 1,000 deals outright. The tie share is 0.41%: on those boards the pot is chopped and neither hand wins outright.
ATo ranks number 19 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 48,360,000 | 339,000 | 33,491,000 |
| 76s | 33,491,000 | 339,000 | 48,360,000 |
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) |
|---|---|---|---|---|
| ATo | 1.442 | 1.700 | 2.454 | 0.694 |
| 76s | 0.694 | 2.454 | 1.700 | 1.442 |
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
ATo prefers rainbow flops topped by a ten or better, where it holds 67.03%, and likes low rainbow flops (nine high or lower) least, where it holds 32.77%. 76s is ahead on low rainbow flops (nine high or lower), even though it trails ATo when every flop is counted.
| Flop | Share of flops | ATo wins | Ties | 76s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.939 | 0.181 | 32.880 | 67.029 |
| Rainbow, nine or lower | 6.313 | 32.539 | 0.458 | 67.003 | 32.768 |
| Two-tone | 46.667 | 57.251 | 0.225 | 42.524 | 57.364 |
| Monotone | 5.212 | 56.344 | 2.355 | 41.301 | 57.521 |
| Paired | 17.091 | 61.936 | 0.653 | 37.411 | 62.262 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts ATo from 62.72% by -3.67 points and 76s from 45.37% by -4.42 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 59.045 | 62.722 | -3.677 | 0.94138 |
| ATo, rainbow, ten or higher | 67.029 | 62.722 | +4.307 | 1.06867 |
| ATo, rainbow, nine or lower | 32.768 | 62.722 | -29.954 | 0.52243 |
| ATo, two-tone | 57.364 | 62.722 | -5.358 | 0.91458 |
| ATo, monotone | 57.521 | 62.722 | -5.201 | 0.91708 |
| ATo, paired | 62.262 | 62.722 | -0.460 | 0.99267 |
| 76s, all flops | 40.955 | 45.372 | -4.417 | 0.90265 |
| 76s, rainbow, ten or higher | 32.971 | 45.372 | -12.401 | 0.72668 |
| 76s, rainbow, nine or lower | 67.232 | 45.372 | +21.860 | 1.48179 |
| 76s, two-tone | 42.636 | 45.372 | -2.736 | 0.93970 |
| 76s, monotone | 42.479 | 45.372 | -2.893 | 0.93624 |
| 76s, paired | 37.738 | 45.372 | -7.634 | 0.83175 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and ATo holds 59.72%. In 24 they do not, and it holds 58.37%. ATo does better with a shared suit, by 1.35 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 76s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.493 | 0.454 | 40.053 | 59.720 |
| No shared suit | 24 | 50.00 | 58.185 | 0.372 | 41.443 | 58.371 |
How often this matchup comes up
ATo against 76s 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
Take a $200 pot built from $100 each. ATo's equity of 59.05% is worth $118.10, a $18.10 edge, and 76s' 40.95% is worth $81.90, which is $18.10 under its stake.
Out of 1,000 deals you should see around 588 outright wins for ATo, 408 for 76s, and 4 split pots.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 40.95%, and from ATo's side it is 59.05%.
Keep exploring
The calculator link fills in AsTh against 7d6d, 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 48 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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