A7s
58.15%
Wins 57.94%, ties 0.44%
QJo
41.85%
Wins 41.62%, ties 0.44%
A7s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 57.935 | 0.438 | 41.627 | 58.154 |
| QJo | 41.627 | 0.438 | 57.935 | 41.846 |
A7s and QJo are a suited hand and an offsuit hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.44% of boards, so the wins and the equity differ by half of that.
For context, A7s sits at number 24 of 169 starting hands and QJo at number 39 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 47,617,000 | 360,000 | 34,213,000 |
| QJo | 34,213,000 | 360,000 | 47,617,000 |
Exact total: 48 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 | 1.390 | 1.726 | 2.402 | 0.720 |
| QJo | 0.720 | 2.402 | 1.726 | 1.390 |
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
By flop texture, A7s' equity runs from 50.26% on rainbow flops topped by a ten or better up to 75.42% on low rainbow flops (nine high or lower). A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A7s wins | Ties | QJo wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.197 | 0.130 | 49.673 | 50.262 |
| Rainbow, nine or lower | 7.042 | 75.026 | 0.794 | 24.180 | 75.423 |
| Two-tone | 46.667 | 57.608 | 0.260 | 42.132 | 57.738 |
| Monotone | 5.212 | 54.041 | 2.364 | 43.595 | 55.223 |
| Paired | 17.091 | 63.831 | 0.624 | 35.545 | 64.143 |
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
Relative to a random opponent, A7s changes by -2.83 points (baseline 60.98%) and QJo by -16.29 points (baseline 58.14%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 58.154 | 60.984 | -2.830 | 0.95359 |
| A7s, rainbow, ten or higher | 50.262 | 60.984 | -10.722 | 0.82418 |
| A7s, rainbow, nine or lower | 75.423 | 60.984 | +14.439 | 1.23677 |
| A7s, two-tone | 57.738 | 60.984 | -3.246 | 0.94677 |
| A7s, monotone | 55.223 | 60.984 | -5.761 | 0.90553 |
| A7s, paired | 64.143 | 60.984 | +3.159 | 1.05180 |
| QJo, all flops | 41.846 | 58.135 | -16.289 | 0.71981 |
| QJo, rainbow, ten or higher | 49.738 | 58.135 | -8.397 | 0.85556 |
| QJo, rainbow, nine or lower | 24.577 | 58.135 | -33.558 | 0.42276 |
| QJo, two-tone | 42.262 | 58.135 | -15.873 | 0.72696 |
| QJo, monotone | 44.777 | 58.135 | -13.358 | 0.77022 |
| QJo, paired | 35.857 | 58.135 | -22.278 | 0.61679 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A7s has 57.79% equity, and with none in common it has 58.51%. A7s does better with no shared suit, by 0.72 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | QJo wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.555 | 0.479 | 41.966 | 57.794 |
| No shared suit | 24 | 50.00 | 58.315 | 0.397 | 41.288 | 58.513 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. A7s averages $116.30 from the $200, up $16.30; QJo averages $83.70, down $16.30.
Per 1,000 deals: A7s wins about 579, QJo wins about 416, and about 5 end in a split pot.
The same matchup from the other side
The reversed view, QJo against A7s, shows 41.85% for QJo and 58.15% for A7s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As7s against QhJd, 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
We counted every case. Each suit pattern of the 48 specific A7s against QJo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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