QJo
41.52%
Wins 41.27%, ties 0.51%
A2s
58.48%
Wins 58.22%, ties 0.51%
QJo against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 41.267 | 0.506 | 58.227 | 41.520 |
| A2s | 58.227 | 0.506 | 41.267 | 58.480 |
QJo is an offsuit hand and A2s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, QJo is number 39 and A2s is number 46 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 33,918,000 | 416,000 | 47,857,000 |
| A2s | 47,857,000 | 416,000 | 33,918,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJo | 0.710 | 2.423 | 1.717 | 1.408 |
| A2s | 1.408 | 1.717 | 2.423 | 0.710 |
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
Split by what the flop looks like, A2s peaks at 75.57% on low rainbow flops (nine high or lower) and bottoms out at 50.71% on rainbow flops topped by a ten or better. A2s 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 | QJo wins | Ties | A2s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 49.229 | 0.119 | 50.652 | 49.289 |
| Rainbow, nine or lower | 7.042 | 23.818 | 1.215 | 74.967 | 24.426 |
| Two-tone | 46.667 | 41.745 | 0.335 | 57.920 | 41.912 |
| Monotone | 5.212 | 43.319 | 2.414 | 54.267 | 44.526 |
| Paired | 17.091 | 35.349 | 0.645 | 64.006 | 35.672 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 58.14%, QJo changes by -16.62 points, and A2s, from 57.38%, by +1.10.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 41.520 | 58.135 | -16.615 | 0.71420 |
| QJo, rainbow, ten or higher | 49.289 | 58.135 | -8.846 | 0.84784 |
| QJo, rainbow, nine or lower | 24.426 | 58.135 | -33.709 | 0.42016 |
| QJo, two-tone | 41.912 | 58.135 | -16.223 | 0.72094 |
| QJo, monotone | 44.526 | 58.135 | -13.609 | 0.76591 |
| QJo, paired | 35.672 | 58.135 | -22.463 | 0.61361 |
| A2s, all flops | 58.480 | 57.379 | +1.101 | 1.01919 |
| A2s, rainbow, ten or higher | 50.711 | 57.379 | -6.668 | 0.88379 |
| A2s, rainbow, nine or lower | 75.574 | 57.379 | +18.195 | 1.31710 |
| A2s, two-tone | 58.088 | 57.379 | +0.709 | 1.01236 |
| A2s, monotone | 55.474 | 57.379 | -1.905 | 0.96680 |
| A2s, paired | 64.328 | 57.379 | +6.949 | 1.12111 |
Does a shared suit matter?
Split by suits, the deals give A2s 58.13% when the hands overlap in a suit and 58.83% when they do not. A2s does better with no shared suit, by 0.70 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | A2s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 41.597 | 0.548 | 57.855 | 41.871 |
| No shared suit | 24 | 50.00 | 40.936 | 0.465 | 58.599 | 41.169 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A2s is worth $116.96 on average (+$16.96); QJo is worth $83.04 (-$16.96).
Per 1,000 deals: A2s wins about 582, QJo wins about 413, and about 5 end in a split pot.
The same matchup from the other side
One page covers both views. From A2s' side the equity is 58.48%, and from QJo's side it is 41.52%.
Keep exploring
The calculator link fills in QsJh against Ad2d, 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 48 ways to deal one QJo and one A2s 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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