A7s
58.14%
Wins 57.93%, ties 0.43%
QTo
41.86%
Wins 41.64%, ties 0.43%
A7s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 57.928 | 0.429 | 41.643 | 58.143 |
| QTo | 41.643 | 0.429 | 57.928 | 41.857 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 16.28 point lead is real, and QTo still takes about 417 of every 1,000 deals outright. Ties are 0.43% of the outcomes here; each tied board gives both hands half the pot.
Place 24 of 169 belongs to A7s and place 47 belongs to QTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 47,611,000 | 353,000 | 34,227,000 |
| QTo | 34,227,000 | 353,000 | 47,611,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 1.389 | 1.726 | 2.401 | 0.720 |
| QTo | 0.720 | 2.401 | 1.726 | 1.389 |
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
Low rainbow flops (nine high or lower) are the best for A7s (74.62%); rainbow flops topped by a ten or better are the worst (50.49%). A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A7s wins | Ties | QTo wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.404 | 0.161 | 49.435 | 50.485 |
| Rainbow, nine or lower | 7.042 | 74.307 | 0.631 | 25.062 | 74.622 |
| Two-tone | 46.667 | 57.593 | 0.248 | 42.159 | 57.717 |
| Monotone | 5.212 | 54.018 | 2.356 | 43.626 | 55.196 |
| Paired | 17.091 | 63.846 | 0.628 | 35.526 | 64.160 |
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
Against one random hand instead, A7s holds 60.98% and QTo holds 57.29%. Facing each other changes that by -2.84 points for A7s and -15.43 points for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 58.143 | 60.984 | -2.841 | 0.95341 |
| A7s, rainbow, ten or higher | 50.485 | 60.984 | -10.499 | 0.82784 |
| A7s, rainbow, nine or lower | 74.622 | 60.984 | +13.638 | 1.22363 |
| A7s, two-tone | 57.717 | 60.984 | -3.267 | 0.94643 |
| A7s, monotone | 55.196 | 60.984 | -5.788 | 0.90509 |
| A7s, paired | 64.160 | 60.984 | +3.176 | 1.05208 |
| QTo, all flops | 41.857 | 57.291 | -15.434 | 0.73060 |
| QTo, rainbow, ten or higher | 49.515 | 57.291 | -7.776 | 0.86427 |
| QTo, rainbow, nine or lower | 25.378 | 57.291 | -31.913 | 0.44297 |
| QTo, two-tone | 42.283 | 57.291 | -15.008 | 0.73804 |
| QTo, monotone | 44.804 | 57.291 | -12.487 | 0.78204 |
| QTo, paired | 35.840 | 57.291 | -21.451 | 0.62558 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A7s has 57.79%; looking only at deals where they do not, 58.50%. A7s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | QTo wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.553 | 0.470 | 41.977 | 57.788 |
| No shared suit | 24 | 50.00 | 58.304 | 0.387 | 41.309 | 58.497 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $116.28 for A7s and $83.72 for QTo; the first side gains $16.28 per all-in and the second gives up $16.28.
Scaled to 1,000 deals, that is roughly 579 wins for A7s, 417 for QTo and 4 chopped pots.
The same matchup from the other side
The reversed view, QTo against A7s, shows 41.86% for QTo and 58.14% for A7s. It is the same count, so it redirects here.
Keep exploring
As7s against QhTd 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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