---
title: "AQo vs A7s: preflop equity"
url: "https://georgelipoker.com/equity/aqo-vs-a7s.md"
canonical_url: "https://georgelipoker.com/equity/aqo-vs-a7s"
last_updated: "2026-10-23"
type: "reference"
summary: "AQo is a big favorite over A7s before the flop: 69.26% to 30.74% equity, counted exactly over every board, with the split by flop type and suit."
related: ["https://georgelipoker.com/equity/aqo-vs-a9o.md", "https://georgelipoker.com/equity/aqo-vs-kjo.md", "https://georgelipoker.com/equity/ajo-vs-a7s.md"]
---

# AQo vs A7s: preflop equity

AQo is a big favorite over A7s before the flop: 69.26% to 30.74% equity, counted exactly over every board, with the split by flop type and suit.

Counting every board, the equity split is 69.26% for AQo and 30.74% for A7s, so AQo leads by 38.52 points.

## AQo against A7s: the numbers

**Exact preflop results for AQo against A7s, in percent**

| Hand | Wins | Ties | Loses | Equity |
| --- | --- | --- | --- | --- |
| AQo | 66.444 | 5.631 | 27.925 | 69.260 |
| A7s | 27.925 | 5.631 | 66.444 | 30.740 |

Here an offsuit hand (AQo) meets a suited hand (A7s). Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

AQo is well ahead, and A7s needs a specific kind of board to catch up. The tie share is 5.63%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, AQo is number 14 and A7s is number 24 by strength against a random hand.

**Boards behind the percentages: 61,642,944 counted in all**

| Hand | Boards won, about | Boards tied, about | Boards lost, about |
| --- | --- | --- | --- |
| AQo | 40,958,000 | 3,471,000 | 17,214,000 |
| A7s | 17,214,000 | 3,471,000 | 40,958,000 |

The total is exact: 36 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.

**AQo against A7s read as odds**

| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
| --- | --- | --- | --- | --- |
| AQo | 2.253 | 1.505 | 3.581 | 0.444 |
| A7s | 0.444 | 3.581 | 1.505 | 2.253 |

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

The flop changes the picture. AQo does best on rainbow flops topped by a ten or better, at 76.70%, and worst on low rainbow flops (nine high or lower), at 55.99%. AQo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

**AQo against A7s by flop texture, in percent**

| Flop | Share of flops | AQo wins | Ties | A7s wins | AQo equity |
| --- | --- | --- | --- | --- | --- |
| Rainbow, ten or higher | 23.905 | 74.920 | 3.567 | 21.513 | 76.704 |
| Rainbow, nine or lower | 7.042 | 53.830 | 4.315 | 41.855 | 55.988 |
| Two-tone | 46.527 | 66.427 | 3.532 | 30.041 | 68.193 |
| Monotone | 5.192 | 61.718 | 4.727 | 33.555 | 64.082 |
| Paired | 17.334 | 61.342 | 14.918 | 23.740 | 68.801 |

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

## Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +4.83 points for AQo, from 64.43%, and -30.24 for A7s, from 60.98%.

**AQo and A7s here compared with each against a random hand, in percent**

| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
| --- | --- | --- | --- | --- |
| AQo, all flops | 69.260 | 64.432 | +4.828 | 1.07493 |
| AQo, rainbow, ten or higher | 76.704 | 64.432 | +12.272 | 1.19046 |
| AQo, rainbow, nine or lower | 55.988 | 64.432 | -8.444 | 0.86895 |
| AQo, two-tone | 68.193 | 64.432 | +3.761 | 1.05837 |
| AQo, monotone | 64.082 | 64.432 | -0.350 | 0.99457 |
| AQo, paired | 68.801 | 64.432 | +4.369 | 1.06781 |
| A7s, all flops | 30.740 | 60.984 | -30.244 | 0.50407 |
| A7s, rainbow, ten or higher | 23.296 | 60.984 | -37.688 | 0.38200 |
| A7s, rainbow, nine or lower | 44.012 | 60.984 | -16.972 | 0.72170 |
| A7s, two-tone | 31.807 | 60.984 | -29.177 | 0.52156 |
| A7s, monotone | 35.918 | 60.984 | -25.066 | 0.58897 |
| A7s, paired | 31.199 | 60.984 | -29.785 | 0.51159 |

## Does a shared suit matter?

Does suit overlap move the numbers? AQo has 70.09% when the hands share a suit and 68.84% when they do not. AQo does better with a shared suit, by 1.25 points.

**AQo against A7s by suit overlap, in percent**

| Deals | Specific deals | Share of deals | AQo wins | Ties | A7s wins | AQo equity |
| --- | --- | --- | --- | --- | --- | --- |
| Share a suit | 12 | 33.33 | 67.232 | 5.723 | 27.045 | 70.093 |
| No shared suit | 24 | 66.67 | 66.051 | 5.585 | 28.364 | 68.843 |

## How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

## A worked example

With $100 from each side, the $200 pot is split on average as $138.52 for AQo and $61.48 for A7s; the first side gains $38.52 per all-in and the second gives up $38.52.

Run 1,000 deals and the tally comes out near 665 for AQo, 279 for A7s and 56 ties.

## The same matchup from the other side

The reversed view, A7s against AQo, shows 30.74% for A7s and 69.26% for AQo. It is the same count, so it redirects here.

## Keep exploring

Open the calculator with AsQh against Ad7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

- [Open AsQh against Ad7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsQh&p2=Ad7d)
- [AQo combos](https://georgelipoker.com/combos/aqo.md)
- [A7s combos](https://georgelipoker.com/combos/a7s.md)
- [AQo vs A9o](https://georgelipoker.com/equity/aqo-vs-a9o.md)
- [AQo vs KJo](https://georgelipoker.com/equity/aqo-vs-kjo.md)
- [AJo vs A7s](https://georgelipoker.com/equity/ajo-vs-a7s.md)
- [All hand matchups](https://georgelipoker.com/equity.md)

## How this was computed

Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

## Related

- [AQo vs A9o: preflop equity](https://georgelipoker.com/equity/aqo-vs-a9o.md)
- [AQo vs KJo: preflop equity](https://georgelipoker.com/equity/aqo-vs-kjo.md)
- [AJo vs A7s: preflop equity](https://georgelipoker.com/equity/ajo-vs-a7s.md)
