71.65%
Wins 71.45%, ties 0.40%
AJo
28.35%
Wins 28.15%, ties 0.40%
QQ against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 71.450 | 0.399 | 28.151 | 71.650 | |
| AJo | 28.151 | 0.399 | 71.450 | 28.350 |
QQ is a pocket pair and AJo is an offsuit hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
A lead of 43.30 points is large but not decisive: AJo still takes about 282 of every 1,000 deals. The tie share is 0.40%: on those boards the pot is chopped and neither hand wins outright.
For context, QQ sits at number 3 of 169 starting hands and AJo at number 15 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88,088,000 | 492,000 | 34,706,000 | |
| AJo | 34,706,000 | 492,000 | 88,088,000 |
The total is exact: 72 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.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 2.527 | 1.400 | 3.552 | 0.396 | |
| AJo | 0.396 | 3.552 | 1.400 | 2.527 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
QQ prefers low rainbow flops (nine high or lower), where it holds 84.43%, and likes monotone flops least, where it holds 66.91%. QQ 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 | QQ wins | Ties | AJo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 67.085 | 0.107 | 32.808 | 67.139 |
| Rainbow, nine or lower | 7.771 | 83.806 | 1.241 | 14.953 | 84.426 |
| Two-tone | 46.485 | 70.771 | 0.374 | 28.855 | 70.958 |
| Monotone | 5.151 | 66.041 | 1.743 | 32.216 | 66.912 |
| Paired | 17.333 | 75.195 | 0.083 | 24.722 | 75.237 |
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 -8.28 points for QQ, from 79.93%, and -35.21 for AJo, from 63.56%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 71.650 | 79.925 | -8.275 | 0.89647 |
| QQ, rainbow, ten or higher | 67.139 | 79.925 | -12.786 | 0.84003 |
| QQ, rainbow, nine or lower | 84.426 | 79.925 | +4.501 | 1.05632 |
| QQ, two-tone | 70.958 | 79.925 | -8.967 | 0.88781 |
| QQ, monotone | 66.912 | 79.925 | -13.013 | 0.83718 |
| QQ, paired | 75.237 | 79.925 | -4.688 | 0.94135 |
| AJo, all flops | 28.350 | 63.563 | -35.213 | 0.44601 |
| AJo, rainbow, ten or higher | 32.861 | 63.563 | -30.702 | 0.51698 |
| AJo, rainbow, nine or lower | 15.574 | 63.563 | -47.989 | 0.24502 |
| AJo, two-tone | 29.042 | 63.563 | -34.521 | 0.45690 |
| AJo, monotone | 33.088 | 63.563 | -30.475 | 0.52055 |
| AJo, paired | 24.763 | 63.563 | -38.800 | 0.38958 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (QQ at 71.69%) and 12 do not (71.47%). The two rows differ by only 0.22 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | AJo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.478 | 0.415 | 28.107 | 71.685 |
| No shared suit | 12 | 16.67 | 71.312 | 0.320 | 28.368 | 71.472 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
Take a $200 pot built from $100 each. QQ's equity of 71.65% is worth $143.30, a $43.30 edge, and AJo's 28.35% is worth $56.70, which is $43.30 under its stake.
Think in thousands: about 714 of 1,000 go to QQ, about 282 go to AJo, and about 4 are chopped.
The same matchup from the other side
Read it from the other side: AJo against QQ is the same matchup with the numbers swapped, so AJo holds 28.35% and QQ holds 71.65%. That address sends you back to this page.
Keep exploring
Open the calculator with QsQh against AdJc 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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