AJs
60.65%
Wins 60.40%, ties 0.50%
QTs
39.35%
Wins 39.10%, ties 0.50%
AJs against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 60.398 | 0.500 | 39.102 | 60.648 |
| QTs | 39.102 | 0.500 | 60.398 | 39.352 |
Both hands are suited hands: AJs and QTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 21.30 point lead is real, and QTs still takes about 391 of every 1,000 deals outright. Of every 100 boards, about 0.50 are split pots, and the equity figures already include them.
AJs ranks number 11 of 169 starting hands, and QTs ranks number 34, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 16,547,000 | 137,000 | 10,713,000 |
| QTs | 10,713,000 | 137,000 | 16,547,000 |
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) |
|---|---|---|---|---|
| AJs | 1.541 | 1.656 | 2.557 | 0.649 |
| QTs | 0.649 | 2.557 | 1.656 | 1.541 |
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
Low rainbow flops (nine high or lower) are the best for AJs (72.58%); rainbow flops topped by a ten or better are the worst (56.53%). 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 | QTs wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 56.475 | 0.106 | 43.419 | 56.528 |
| Rainbow, nine or lower | 7.771 | 72.145 | 0.877 | 26.978 | 72.583 |
| Two-tone | 46.727 | 59.574 | 0.264 | 40.162 | 59.706 |
| Monotone | 5.273 | 55.954 | 3.409 | 40.637 | 57.658 |
| Paired | 17.091 | 63.989 | 0.612 | 35.399 | 64.295 |
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
Start from the random-hand figures, 65.39% for AJs and 59.47% for QTs. This opponent changes them by -4.74 and -20.12 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 60.648 | 65.393 | -4.745 | 0.92744 |
| AJs, rainbow, ten or higher | 56.528 | 65.393 | -8.865 | 0.86444 |
| AJs, rainbow, nine or lower | 72.583 | 65.393 | +7.190 | 1.10995 |
| AJs, two-tone | 59.706 | 65.393 | -5.687 | 0.91303 |
| AJs, monotone | 57.658 | 65.393 | -7.735 | 0.88172 |
| AJs, paired | 64.295 | 65.393 | -1.098 | 0.98321 |
| QTs, all flops | 39.352 | 59.468 | -20.116 | 0.66173 |
| QTs, rainbow, ten or higher | 43.472 | 59.468 | -15.996 | 0.73101 |
| QTs, rainbow, nine or lower | 27.417 | 59.468 | -32.051 | 0.46104 |
| QTs, two-tone | 40.294 | 59.468 | -19.174 | 0.67757 |
| QTs, monotone | 42.342 | 59.468 | -17.126 | 0.71201 |
| QTs, paired | 35.705 | 59.468 | -23.763 | 0.60041 |
Does a shared suit matter?
Does suit overlap move the numbers? AJs has 62.88% when the hands share a suit and 59.90% when they do not. AJs does better with a shared suit, by 2.98 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | QTs wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 62.589 | 0.577 | 36.834 | 62.878 |
| No shared suit | 12 | 75.00 | 59.667 | 0.475 | 39.858 | 59.904 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJs is worth $121.30 on average (+$21.30); QTs is worth $78.70 (-$21.30).
Out of 1,000 deals you should see around 604 outright wins for AJs, 391 for QTs, and 5 split pots.
The same matchup from the other side
QTs against AJs adds nothing new: it is 39.35% for QTs and 60.65% for AJs, the same figures reversed.
Keep exploring
Try AsJs against QhTh in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session