A7s
60.47%
Wins 47.86%, ties 25.21%
A3s
39.53%
Wins 26.93%, ties 25.21%
A7s against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 47.864 | 25.209 | 26.927 | 60.468 |
| A3s | 26.927 | 25.209 | 47.864 | 39.532 |
Two suited hands meet here: A7s against A3s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 25.21%: on those boards the pot is chopped and neither hand wins outright.
For context, A7s sits at number 24 of 169 starting hands and A3s at number 38 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 9,835,000 | 5,180,000 | 5,533,000 |
| A3s | 5,533,000 | 5,180,000 | 9,835,000 |
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 | 1.530 | 2.089 | 3.714 | 0.654 |
| A3s | 0.654 | 3.714 | 2.089 | 1.530 |
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
The flop changes the picture. A7s does best on low rainbow flops (nine high or lower), at 63.12%, and worst on paired flops, at 56.35%. A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | A3s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 48.803 | 27.162 | 24.035 | 62.384 |
| Rainbow, nine or lower | 6.383 | 58.333 | 9.576 | 32.091 | 63.121 |
| Two-tone | 46.543 | 50.522 | 20.789 | 28.689 | 60.916 |
| Monotone | 5.215 | 49.049 | 17.731 | 33.220 | 57.914 |
| Paired | 17.333 | 35.185 | 42.321 | 22.494 | 56.345 |
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
How much does the opponent matter? Compared with its random-hand 60.98%, A7s changes by -0.51 points, and A3s, from 58.22%, by -18.69.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 60.468 | 60.984 | -0.516 | 0.99154 |
| A7s, rainbow, ten or higher | 62.384 | 60.984 | +1.400 | 1.02296 |
| A7s, rainbow, nine or lower | 63.121 | 60.984 | +2.137 | 1.03504 |
| A7s, two-tone | 60.916 | 60.984 | -0.068 | 0.99888 |
| A7s, monotone | 57.914 | 60.984 | -3.070 | 0.94966 |
| A7s, paired | 56.345 | 60.984 | -4.639 | 0.92393 |
| A3s, all flops | 39.532 | 58.220 | -18.688 | 0.67901 |
| A3s, rainbow, ten or higher | 37.616 | 58.220 | -20.604 | 0.64610 |
| A3s, rainbow, nine or lower | 36.879 | 58.220 | -21.341 | 0.63344 |
| A3s, two-tone | 39.084 | 58.220 | -19.136 | 0.67132 |
| A3s, monotone | 42.086 | 58.220 | -16.134 | 0.72288 |
| A3s, paired | 43.655 | 58.220 | -14.565 | 0.74983 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | A7s wins | Ties | A3s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 47.864 | 25.209 | 26.927 | 60.468 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
With $100 from each side, the $200 pot is split on average as $120.94 for A7s and $79.06 for A3s; the first side gains $20.94 per all-in and the second gives up $20.94.
In 1,000 deals of exactly this matchup, expect about 479 won outright by A7s, about 269 won outright by A3s and about 252 split.
The same matchup from the other side
Read it from the other side: A3s against A7s is the same matchup with the numbers swapped, so A3s holds 39.53% and A7s holds 60.47%. That address sends you back to this page.
Keep exploring
The calculator link fills in As7s against Ah3h, 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
This is an exact count with no sampling. For the 12 ways to deal one A7s and one A3s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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