---
title: "QJo vs 87s: preflop equity"
url: "https://georgelipoker.com/equity/qjo-vs-87s.md"
canonical_url: "https://georgelipoker.com/equity/qjo-vs-87s"
last_updated: "2026-10-23"
type: "reference"
summary: "QJo is a big favorite over 87s before the flop: 60.85% to 39.15% equity, counted exactly over every board, with the split by flop type and suit."
related: ["https://georgelipoker.com/equity/qjo-vs-86s.md", "https://georgelipoker.com/equity/qjo-vs-76s.md", "https://georgelipoker.com/equity/k9o-vs-87s.md"]
---

# QJo vs 87s: preflop equity

QJo is a big favorite over 87s before the flop: 60.85% to 39.15% equity, counted exactly over every board, with the split by flop type and suit.

The exact count puts QJo at 60.85% and 87s at 39.15% when the two hands see all five board cards.

## QJo against 87s: the numbers

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

| Hand | Wins | Ties | Loses | Equity |
| --- | --- | --- | --- | --- |
| QJo | 60.414 | 0.872 | 38.714 | 60.850 |
| 87s | 38.714 | 0.872 | 60.414 | 39.150 |

Here an offsuit hand (QJo) meets a suited hand (87s). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.87 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, QJo is number 39 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 |
| --- | --- | --- | --- |
| QJo | 49,655,000 | 717,000 | 31,819,000 |
| 87s | 31,819,000 | 717,000 | 49,655,000 |

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.

**QJo 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) |
| --- | --- | --- | --- | --- |
| QJo | 1.554 | 1.655 | 2.583 | 0.643 |
| 87s | 0.643 | 2.583 | 1.655 | 1.554 |

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

Break the boards down by their first three cards and QJo is strongest on rainbow flops topped by a ten or better (68.92%) and weakest on low rainbow flops (nine high or lower) (36.71%). Low rainbow flops (nine high or lower) favor 87s, the hand that is behind overall.

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

| Flop | Share of flops | QJo wins | Ties | 87s wins | QJo equity |
| --- | --- | --- | --- | --- | --- |
| Rainbow, ten or higher | 24.717 | 68.684 | 0.465 | 30.851 | 68.917 |
| Rainbow, nine or lower | 6.313 | 36.453 | 0.519 | 63.028 | 36.712 |
| Two-tone | 46.667 | 59.274 | 0.449 | 40.277 | 59.498 |
| Monotone | 5.212 | 57.830 | 2.521 | 39.649 | 59.091 |
| Paired | 17.091 | 61.208 | 2.246 | 36.546 | 62.331 |

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

The table below sets each hand against its own random-hand baseline: a change of +2.71 points for QJo, from 58.14%, and -8.79 for 87s, from 47.94%.

**QJo 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 |
| --- | --- | --- | --- | --- |
| QJo, all flops | 60.850 | 58.135 | +2.715 | 1.04670 |
| QJo, rainbow, ten or higher | 68.917 | 58.135 | +10.782 | 1.18546 |
| QJo, rainbow, nine or lower | 36.712 | 58.135 | -21.423 | 0.63150 |
| QJo, two-tone | 59.498 | 58.135 | +1.363 | 1.02345 |
| QJo, monotone | 59.091 | 58.135 | +0.956 | 1.01644 |
| QJo, paired | 62.331 | 58.135 | +4.196 | 1.07218 |
| 87s, all flops | 39.150 | 47.936 | -8.786 | 0.81671 |
| 87s, rainbow, ten or higher | 31.083 | 47.936 | -16.853 | 0.64843 |
| 87s, rainbow, nine or lower | 63.288 | 47.936 | +15.352 | 1.32026 |
| 87s, two-tone | 40.502 | 47.936 | -7.434 | 0.84492 |
| 87s, monotone | 40.909 | 47.936 | -7.027 | 0.85341 |
| 87s, paired | 37.669 | 47.936 | -10.267 | 0.78582 |

## Does a shared suit matter?

The suit split reads 61.55% for QJo with a shared suit and 60.15% without one. QJo does better with a shared suit, by 1.40 points.

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

| Deals | Specific deals | Share of deals | QJo wins | Ties | 87s wins | QJo equity |
| --- | --- | --- | --- | --- | --- | --- |
| Share a suit | 24 | 50.00 | 61.095 | 0.914 | 37.991 | 61.552 |
| No shared suit | 24 | 50.00 | 59.733 | 0.830 | 39.437 | 60.148 |

## How often this matchup comes up

The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.

## A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. QJo is worth $121.70 on average (+$21.70); 87s is worth $78.30 (-$21.70).

Over a long run, 1,000 deals split into about 604 for QJo, 387 for 87s and 9 tied.

## The same matchup from the other side

The mirror image, 87s against QJo, is 39.15% to 60.85%, and its address redirects to this page.

## Keep exploring

Open the calculator with QsJh against 8d7d 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 QsJh against 8d7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJh&p2=8d7d)
- [QJo combos](https://georgelipoker.com/combos/qjo.md)
- [87s combos](https://georgelipoker.com/combos/87s.md)
- [QJo vs 86s](https://georgelipoker.com/equity/qjo-vs-86s.md)
- [QJo vs 76s](https://georgelipoker.com/equity/qjo-vs-76s.md)
- [K9o vs 87s](https://georgelipoker.com/equity/k9o-vs-87s.md)
- [All hand matchups](https://georgelipoker.com/equity.md)

## How this was computed

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

## Related

- [QJo vs 86s: preflop equity](https://georgelipoker.com/equity/qjo-vs-86s.md)
- [QJo vs 76s: preflop equity](https://georgelipoker.com/equity/qjo-vs-76s.md)
- [K9o vs 87s: preflop equity](https://georgelipoker.com/equity/k9o-vs-87s.md)
