A7s
34.96%
Wins 27.53%, ties 14.86%
A9o
65.04%
Wins 57.61%, ties 14.86%
A7s against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 27.533 | 14.857 | 57.610 | 34.962 |
| A9o | 57.610 | 14.857 | 27.533 | 65.038 |
The first hand is a suited hand; the second is an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A9o is the clear favorite, though A7s gets there on roughly one board in 3. A split pot comes up on 14.86% of boards, so the wins and the equity differ by half of that.
The hand ranking puts A7s at 24 and A9o at 25 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 16,972,000 | 9,158,000 | 35,513,000 |
| A9o | 35,513,000 | 9,158,000 | 16,972,000 |
Exact total: 36 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 | 0.538 | 3.632 | 1.736 | 1.860 |
| A9o | 1.860 | 1.736 | 3.632 | 0.538 |
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: A9o holds 69.04% on rainbow flops topped by a ten or better and 60.83% on paired flops. A9o stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | A9o wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.588 | 23.912 | 14.105 | 61.983 | 30.964 |
| Rainbow, nine or lower | 6.360 | 32.525 | 3.515 | 63.960 | 34.282 |
| Two-tone | 46.527 | 29.610 | 11.185 | 59.205 | 35.203 |
| Monotone | 5.192 | 33.265 | 10.533 | 56.202 | 38.531 |
| Paired | 17.333 | 23.549 | 31.236 | 45.215 | 39.167 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, A7s holds 60.98% and A9o holds 60.77%. Facing each other changes that by -26.02 points for A7s and +4.27 points for A9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 34.962 | 60.984 | -26.022 | 0.57330 |
| A7s, rainbow, ten or higher | 30.964 | 60.984 | -30.020 | 0.50774 |
| A7s, rainbow, nine or lower | 34.282 | 60.984 | -26.702 | 0.56215 |
| A7s, two-tone | 35.203 | 60.984 | -25.781 | 0.57725 |
| A7s, monotone | 38.531 | 60.984 | -22.453 | 0.63182 |
| A7s, paired | 39.167 | 60.984 | -21.817 | 0.64225 |
| A9o, all flops | 65.038 | 60.773 | +4.265 | 1.07018 |
| A9o, rainbow, ten or higher | 69.036 | 60.773 | +8.263 | 1.13596 |
| A9o, rainbow, nine or lower | 65.718 | 60.773 | +4.945 | 1.08137 |
| A9o, two-tone | 64.797 | 60.773 | +4.024 | 1.06621 |
| A9o, monotone | 61.469 | 60.773 | +0.696 | 1.01145 |
| A9o, paired | 60.833 | 60.773 | +0.060 | 1.00099 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (A9o at 65.81%) and 24 do not (64.65%). A9o does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | A9o wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.686 | 15.012 | 58.302 | 34.192 |
| No shared suit | 24 | 66.67 | 27.957 | 14.779 | 57.264 | 35.347 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Take a $200 pot built from $100 each. A9o's equity of 65.04% is worth $130.08, a $30.08 edge, and A7s' 34.96% is worth $69.92, which is $30.08 under its stake.
Think in thousands: about 576 of 1,000 go to A9o, about 275 go to A7s, and about 149 are chopped.
The same matchup from the other side
The mirror image, A9o against A7s, is 65.04% to 34.96%, and its address redirects to this page.
Keep exploring
As7s against Ah9d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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