---
title: "AQo vs 87s: preflop equity"
url: "https://georgelipoker.com/equity/aqo-vs-87s.md"
canonical_url: "https://georgelipoker.com/equity/aqo-vs-87s"
last_updated: "2026-10-23"
type: "reference"
summary: "Who is ahead, AQo or 87s? AQo leads 59.12% to 40.88% before the flop, counted exactly over every board, with the split by flop type and suit."
related: ["https://georgelipoker.com/equity/aqo-vs-86s.md", "https://georgelipoker.com/equity/aqo-vs-76s.md", "https://georgelipoker.com/equity/ajo-vs-87s.md"]
---

# AQo vs 87s: preflop equity

Who is ahead, AQo or 87s? AQo leads 59.12% to 40.88% before the flop, counted exactly over every board, with the split by flop type and suit.

Over all 1,712,304 boards that can follow this deal, AQo finishes with 59.12% of the pot and 87s with 40.88%.

## AQo against 87s: the numbers

**Exact preflop results for AQo against 87s, in percent**

| Hand | Wins | Ties | Loses | Equity |
| --- | --- | --- | --- | --- |
| AQo | 58.907 | 0.418 | 40.675 | 59.116 |
| 87s | 40.675 | 0.418 | 58.907 | 40.884 |

One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, AQo is number 14 of the 169 starting hands and 87s is number 100.

**Boards behind the percentages: 82,190,592 counted in all**

| Hand | Boards won, about | Boards tied, about | Boards lost, about |
| --- | --- | --- | --- |
| AQo | 48,416,000 | 344,000 | 33,431,000 |
| 87s | 33,431,000 | 344,000 | 48,416,000 |

The total is exact: 48 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 87s 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 | 1.446 | 1.698 | 2.459 | 0.692 |
| 87s | 0.692 | 2.459 | 1.698 | 1.446 |

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

## Who is ahead on which flops

Break the boards down by their first three cards and AQo is strongest on rainbow flops topped by a ten or better (66.66%) and weakest on low rainbow flops (nine high or lower) (35.11%). Watch for low rainbow flops (nine high or lower): on those flops 87s holds the better equity.

**AQo against 87s by flop texture, in percent**

| Flop | Share of flops | AQo wins | Ties | 87s wins | AQo equity |
| --- | --- | --- | --- | --- | --- |
| Rainbow, ten or higher | 24.717 | 66.574 | 0.168 | 33.258 | 66.658 |
| Rainbow, nine or lower | 6.313 | 34.825 | 0.559 | 64.616 | 35.105 |
| Two-tone | 46.667 | 57.394 | 0.235 | 42.371 | 57.512 |
| Monotone | 5.212 | 56.441 | 2.357 | 41.202 | 57.620 |
| Paired | 17.091 | 61.597 | 0.637 | 37.766 | 61.916 |

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

Relative to a random opponent, AQo changes by -5.31 points (baseline 64.43%) and 87s by -7.06 points (baseline 47.94%).

**AQo and 87s 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 | 59.116 | 64.432 | -5.316 | 0.91749 |
| AQo, rainbow, ten or higher | 66.658 | 64.432 | +2.226 | 1.03455 |
| AQo, rainbow, nine or lower | 35.105 | 64.432 | -29.327 | 0.54484 |
| AQo, two-tone | 57.512 | 64.432 | -6.920 | 0.89260 |
| AQo, monotone | 57.620 | 64.432 | -6.812 | 0.89428 |
| AQo, paired | 61.916 | 64.432 | -2.516 | 0.96095 |
| 87s, all flops | 40.884 | 47.936 | -7.052 | 0.85289 |
| 87s, rainbow, ten or higher | 33.342 | 47.936 | -14.594 | 0.69555 |
| 87s, rainbow, nine or lower | 64.895 | 47.936 | +16.959 | 1.35378 |
| 87s, two-tone | 42.488 | 47.936 | -5.448 | 0.88635 |
| 87s, monotone | 42.380 | 47.936 | -5.556 | 0.88410 |
| 87s, paired | 38.084 | 47.936 | -9.852 | 0.79448 |

## Does a shared suit matter?

The suit split reads 59.81% for AQo with a shared suit and 58.42% without one. AQo does better with a shared suit, by 1.39 points.

**AQo against 87s by suit overlap, in percent**

| Deals | Specific deals | Share of deals | AQo wins | Ties | 87s wins | AQo equity |
| --- | --- | --- | --- | --- | --- | --- |
| Share a suit | 24 | 50.00 | 59.579 | 0.459 | 39.962 | 59.808 |
| No shared suit | 24 | 50.00 | 58.235 | 0.377 | 41.388 | 58.424 |

## How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AQo against 87s, and 96 (0.0059%) if either hand may sit in either seat.

## A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AQo gets $118.24 of it on average and 87s gets $81.76.

Scaled to 1,000 deals, that is roughly 589 wins for AQo, 407 for 87s and 4 chopped pots.

## The same matchup from the other side

The mirror image, 87s against AQo, is 40.88% to 59.12%, and its address redirects to this page.

## Keep exploring

AsQh against 8d7d 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.

- [Open AsQh against 8d7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsQh&p2=8d7d)
- [AQo combos](https://georgelipoker.com/combos/aqo.md)
- [87s combos](https://georgelipoker.com/combos/87s.md)
- [AQo vs 86s](https://georgelipoker.com/equity/aqo-vs-86s.md)
- [AQo vs 76s](https://georgelipoker.com/equity/aqo-vs-76s.md)
- [AJo vs 87s](https://georgelipoker.com/equity/ajo-vs-87s.md)
- [All hand matchups](https://georgelipoker.com/equity.md)

## How this was computed

Nothing here is simulated. The 48 deals of AQo against 87s 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.

## Related

- [AQo vs 86s: preflop equity](https://georgelipoker.com/equity/aqo-vs-86s.md)
- [AQo vs 76s: preflop equity](https://georgelipoker.com/equity/aqo-vs-76s.md)
- [AJo vs 87s: preflop equity](https://georgelipoker.com/equity/ajo-vs-87s.md)
