A7s
60.19%
Wins 47.67%, ties 25.04%
A5s
39.81%
Wins 27.29%, ties 25.04%
A7s against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 47.672 | 25.044 | 27.284 | 60.194 |
| A5s | 27.284 | 25.044 | 47.672 | 39.806 |
Both hands are suited hands: A7s and A5s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A 20.38 point lead is real, and A5s still takes about 273 of every 1,000 deals outright. Ties are 25.04% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, A7s holds place 24 of 169 and A5s holds place 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 9,795,000 | 5,146,000 | 5,606,000 |
| A5s | 5,606,000 | 5,146,000 | 9,795,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A7s | 1.512 | 2.098 | 3.665 | 0.661 |
| A5s | 0.661 | 3.665 | 2.098 | 1.512 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: A7s holds 62.29% on rainbow flops topped by a ten or better and 55.99% on paired flops. A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | A5s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 48.769 | 27.040 | 24.191 | 62.289 |
| Rainbow, nine or lower | 6.383 | 57.409 | 9.498 | 33.093 | 62.158 |
| Two-tone | 46.543 | 50.328 | 20.676 | 28.996 | 60.666 |
| Monotone | 5.215 | 48.899 | 17.620 | 33.481 | 57.709 |
| Paired | 17.333 | 35.036 | 41.903 | 23.061 | 55.988 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 60.98% for A7s, 59.92% for A5s. Here the change is -0.79 and -20.11 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 60.194 | 60.984 | -0.790 | 0.98705 |
| A7s, rainbow, ten or higher | 62.289 | 60.984 | +1.305 | 1.02140 |
| A7s, rainbow, nine or lower | 62.158 | 60.984 | +1.174 | 1.01925 |
| A7s, two-tone | 60.666 | 60.984 | -0.318 | 0.99479 |
| A7s, monotone | 57.709 | 60.984 | -3.275 | 0.94630 |
| A7s, paired | 55.988 | 60.984 | -4.996 | 0.91808 |
| A5s, all flops | 39.806 | 59.923 | -20.117 | 0.66429 |
| A5s, rainbow, ten or higher | 37.711 | 59.923 | -22.212 | 0.62932 |
| A5s, rainbow, nine or lower | 37.842 | 59.923 | -22.081 | 0.63151 |
| A5s, two-tone | 39.334 | 59.923 | -20.589 | 0.65641 |
| A5s, monotone | 42.291 | 59.923 | -17.632 | 0.70576 |
| A5s, paired | 44.012 | 59.923 | -15.911 | 0.73448 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: A7s holds 60.19% in every deal of this matchup.
| Deals | Specific deals | Share of deals | A7s wins | Ties | A5s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 47.672 | 25.044 | 27.284 | 60.194 |
How often this matchup comes up
A7s against A5s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A7s gets $120.38 of it on average and A5s gets $79.62.
A thousand deals look like this: A7s takes 477, A5s takes 273, 250 are ties.
The same matchup from the other side
A5s versus A7s is this same page seen from the other hand: 39.81% for A5s, 60.19% for A7s.
Keep exploring
Try As7s against Ah5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Nothing here is simulated. The 12 deals of A7s against A5s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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