A7s
61.45%
Wins 61.20%, ties 0.51%
65s
38.55%
Wins 38.29%, ties 0.51%
A7s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 61.198 | 0.512 | 38.290 | 61.454 |
| 65s | 38.290 | 0.512 | 61.198 | 38.546 |
Both hands are suited hands: A7s and 65s. 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. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.
For context, A7s sits at number 24 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 16,766,000 | 140,000 | 10,490,000 |
| 65s | 10,490,000 | 140,000 | 16,766,000 |
The total is exact: 16 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 | 1.594 | 1.634 | 2.612 | 0.627 |
| 65s | 0.627 | 2.612 | 1.634 | 1.594 |
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
Rainbow flops topped by a ten or better are the best for A7s (65.71%); low rainbow flops (nine high or lower) are the worst (41.98%). The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though A7s is ahead overall.
| Flop | Share of flops | A7s wins | Ties | 65s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.594 | 0.229 | 34.177 | 65.708 |
| Rainbow, nine or lower | 5.689 | 41.689 | 0.575 | 57.736 | 41.977 |
| Two-tone | 46.727 | 60.405 | 0.265 | 39.330 | 60.537 |
| Monotone | 5.273 | 56.894 | 3.460 | 39.646 | 58.624 |
| Paired | 17.091 | 64.704 | 0.674 | 34.622 | 65.041 |
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 65s holds 43.13%. Facing each other changes that by +0.47 points for A7s and -4.58 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 61.454 | 60.984 | +0.470 | 1.00771 |
| A7s, rainbow, ten or higher | 65.708 | 60.984 | +4.724 | 1.07746 |
| A7s, rainbow, nine or lower | 41.977 | 60.984 | -19.007 | 0.68833 |
| A7s, two-tone | 60.537 | 60.984 | -0.447 | 0.99267 |
| A7s, monotone | 58.624 | 60.984 | -2.360 | 0.96130 |
| A7s, paired | 65.041 | 60.984 | +4.057 | 1.06653 |
| 65s, all flops | 38.546 | 43.133 | -4.587 | 0.89365 |
| 65s, rainbow, ten or higher | 34.292 | 43.133 | -8.841 | 0.79503 |
| 65s, rainbow, nine or lower | 58.023 | 43.133 | +14.890 | 1.34521 |
| 65s, two-tone | 39.463 | 43.133 | -3.670 | 0.91491 |
| 65s, monotone | 41.376 | 43.133 | -1.757 | 0.95927 |
| 65s, paired | 34.959 | 43.133 | -8.174 | 0.81049 |
Does a shared suit matter?
The suit split reads 63.68% for A7s with a shared suit and 60.71% without one. A7s does better with a shared suit, by 2.97 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 65s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.389 | 0.587 | 36.024 | 63.683 |
| No shared suit | 12 | 75.00 | 60.468 | 0.487 | 39.045 | 60.712 |
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
With $100 from each side, the $200 pot is split on average as $122.90 for A7s and $77.10 for 65s; the first side gains $22.90 per all-in and the second gives up $22.90.
Out of 1,000 deals you should see around 612 outright wins for A7s, 383 for 65s, and 5 split pots.
The same matchup from the other side
65s against A7s adds nothing new: it is 38.55% for 65s and 61.45% for A7s, the same figures reversed.
Keep exploring
The calculator link fills in As7s against 6h5h, 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
We counted every case. Each suit pattern of the 16 specific A7s against 65s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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