QJs
43.99%
Wins 43.73%, ties 0.51%
A5s
56.01%
Wins 55.76%, ties 0.51%
QJs against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 43.730 | 0.513 | 55.757 | 43.987 |
| A5s | 55.757 | 0.513 | 43.730 | 56.013 |
This is a contest between two suited hands, QJs and A5s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A5s is ahead, but QJs is far from dead: it takes 437 of every 1,000 deals outright. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, QJs holds place 28 of 169 and A5s holds place 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 11,981,000 | 141,000 | 15,276,000 |
| A5s | 15,276,000 | 141,000 | 11,981,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| QJs | 0.785 | 2.287 | 1.793 | 1.273 |
| A5s | 1.273 | 1.793 | 2.287 | 0.785 |
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, A5s' equity runs from 49.68% on rainbow flops topped by a ten or better up to 73.80% on low rainbow flops (nine high or lower). Rainbow flops topped by a ten or better favor QJs, the hand that is behind overall.
| Flop | Share of flops | QJs wins | Ties | A5s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 50.263 | 0.113 | 49.624 | 50.319 |
| Rainbow, nine or lower | 7.042 | 25.722 | 0.961 | 73.317 | 26.202 |
| Two-tone | 46.727 | 45.038 | 0.277 | 54.685 | 45.177 |
| Monotone | 5.273 | 44.562 | 3.433 | 52.005 | 46.279 |
| Paired | 17.091 | 38.196 | 0.632 | 61.172 | 38.512 |
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 -16.27 points for QJs, from 60.26%, and -3.91 for A5s, from 59.92%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 43.987 | 60.259 | -16.272 | 0.72997 |
| QJs, rainbow, ten or higher | 50.319 | 60.259 | -9.940 | 0.83505 |
| QJs, rainbow, nine or lower | 26.202 | 60.259 | -34.057 | 0.43482 |
| QJs, two-tone | 45.177 | 60.259 | -15.082 | 0.74971 |
| QJs, monotone | 46.279 | 60.259 | -13.980 | 0.76800 |
| QJs, paired | 38.512 | 60.259 | -21.747 | 0.63911 |
| A5s, all flops | 56.013 | 59.923 | -3.910 | 0.93475 |
| A5s, rainbow, ten or higher | 49.681 | 59.923 | -10.242 | 0.82908 |
| A5s, rainbow, nine or lower | 73.798 | 59.923 | +13.875 | 1.23155 |
| A5s, two-tone | 54.823 | 59.923 | -5.100 | 0.91489 |
| A5s, monotone | 53.721 | 59.923 | -6.202 | 0.89650 |
| A5s, paired | 61.488 | 59.923 | +1.565 | 1.02612 |
Does a shared suit matter?
When the hands share a suit, A5s holds 57.78%; when they do not, it holds 55.42%. A5s does better with a shared suit, by 2.36 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | A5s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 41.922 | 0.594 | 57.484 | 42.219 |
| No shared suit | 12 | 75.00 | 44.333 | 0.486 | 55.181 | 44.576 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are QJs in one seat and A5s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A5s is worth $112.02 on average (+$12.02); QJs is worth $87.98 (-$12.02).
Per 1,000 deals: A5s wins about 558, QJs wins about 437, and about 5 end in a split pot.
The same matchup from the other side
One page covers both views. From A5s' side the equity is 56.01%, and from QJs' side it is 43.99%.
Keep exploring
Open the calculator with QsJs against Ah5h 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.
How this was computed
This is an exact count with no sampling. For the 16 ways to deal one QJs and one A5s 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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