AJs
69.90%
Wins 69.19%, ties 1.42%
QJs
30.10%
Wins 29.39%, ties 1.42%
AJs against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 69.187 | 1.418 | 29.395 | 69.896 |
| QJs | 29.395 | 1.418 | 69.187 | 30.104 |
The matchup is suited hands on both sides, AJs against QJs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AJs is the clear favorite, though QJs gets there on roughly one board in 3. A split pot comes up on 1.42% of boards, so the wins and the equity differ by half of that.
The hand ranking puts AJs at 11 and QJs at 28 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 14,216,000 | 291,000 | 6,040,000 |
| QJs | 6,040,000 | 291,000 | 14,216,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| AJs | 2.322 | 1.445 | 3.402 | 0.431 |
| QJs | 0.431 | 3.402 | 1.445 | 2.322 |
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
Across the five flop textures AJs' equity moves by 18.81 points, from 63.17% on monotone flops to 81.98% on low rainbow flops (nine high or lower). AJs 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 | AJs wins | Ties | QJs wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 66.864 | 1.203 | 31.933 | 67.466 |
| Rainbow, nine or lower | 7.771 | 81.356 | 1.249 | 17.395 | 81.981 |
| Two-tone | 46.543 | 67.943 | 1.068 | 30.989 | 68.477 |
| Monotone | 5.215 | 61.318 | 3.702 | 34.980 | 63.169 |
| Paired | 17.333 | 72.541 | 2.035 | 25.424 | 73.558 |
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
The table below sets each hand against its own random-hand baseline: a change of +4.51 points for AJs, from 65.39%, and -30.16 for QJs, from 60.26%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 69.896 | 65.393 | +4.503 | 1.06886 |
| AJs, rainbow, ten or higher | 67.466 | 65.393 | +2.073 | 1.03170 |
| AJs, rainbow, nine or lower | 81.981 | 65.393 | +16.588 | 1.25367 |
| AJs, two-tone | 68.477 | 65.393 | +3.084 | 1.04716 |
| AJs, monotone | 63.169 | 65.393 | -2.224 | 0.96599 |
| AJs, paired | 73.558 | 65.393 | +8.165 | 1.12486 |
| QJs, all flops | 30.104 | 60.259 | -30.155 | 0.49958 |
| QJs, rainbow, ten or higher | 32.534 | 60.259 | -27.725 | 0.53990 |
| QJs, rainbow, nine or lower | 18.019 | 60.259 | -42.240 | 0.29903 |
| QJs, two-tone | 31.523 | 60.259 | -28.736 | 0.52313 |
| QJs, monotone | 36.831 | 60.259 | -23.428 | 0.61121 |
| QJs, paired | 26.442 | 60.259 | -33.817 | 0.43881 |
Does a shared suit matter?
AJs and QJs never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | AJs wins | Ties | QJs wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.187 | 1.418 | 29.395 | 69.896 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: AJs averages $139.80 back, ahead of its $100 by $39.80, while QJs averages $60.20, short of its $100 by $39.80.
Over a long run, 1,000 deals split into about 692 for AJs, 294 for QJs and 14 tied.
The same matchup from the other side
Read it from the other side: QJs against AJs is the same matchup with the numbers swapped, so QJs holds 30.10% and AJs holds 69.90%. That address sends you back to this page.
Keep exploring
The calculator link fills in AsJs against QhJh, 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 12 specific AJs against QJs 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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