ATs
60.82%
Wins 60.59%, ties 0.46%
QJo
39.18%
Wins 38.95%, ties 0.46%
ATs against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 60.589 | 0.457 | 38.954 | 60.818 |
| QJo | 38.954 | 0.457 | 60.589 | 39.182 |
We compare a suited hand with an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 21.64 point lead is real, and QJo still takes about 389 of every 1,000 deals outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
Place 13 of 169 belongs to ATs and place 39 belongs to QJo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 49,798,000 | 376,000 | 32,017,000 |
| QJo | 32,017,000 | 376,000 | 49,798,000 |
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) |
|---|---|---|---|---|
| ATs | 1.552 | 1.650 | 2.567 | 0.644 |
| QJo | 0.644 | 2.567 | 1.650 | 1.552 |
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
ATs prefers low rainbow flops (nine high or lower), where it holds 75.81%, and likes rainbow flops topped by a ten or better least, where it holds 53.64%. ATs 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 | ATs wins | Ties | QJo wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 53.588 | 0.111 | 46.301 | 53.644 |
| Rainbow, nine or lower | 7.770 | 75.353 | 0.912 | 23.735 | 75.809 |
| Two-tone | 46.667 | 60.368 | 0.284 | 39.348 | 60.510 |
| Monotone | 5.212 | 55.851 | 2.375 | 41.774 | 57.038 |
| Paired | 17.091 | 65.453 | 0.612 | 33.935 | 65.759 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts ATs from 64.60% by -3.78 points and QJo from 58.14% by -18.96 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 60.818 | 64.602 | -3.784 | 0.94143 |
| ATs, rainbow, ten or higher | 53.644 | 64.602 | -10.958 | 0.83038 |
| ATs, rainbow, nine or lower | 75.809 | 64.602 | +11.207 | 1.17348 |
| ATs, two-tone | 60.510 | 64.602 | -4.092 | 0.93666 |
| ATs, monotone | 57.038 | 64.602 | -7.564 | 0.88291 |
| ATs, paired | 65.759 | 64.602 | +1.157 | 1.01791 |
| QJo, all flops | 39.182 | 58.135 | -18.953 | 0.67398 |
| QJo, rainbow, ten or higher | 46.356 | 58.135 | -11.779 | 0.79739 |
| QJo, rainbow, nine or lower | 24.191 | 58.135 | -33.944 | 0.41612 |
| QJo, two-tone | 39.490 | 58.135 | -18.645 | 0.67928 |
| QJo, monotone | 42.962 | 58.135 | -15.173 | 0.73900 |
| QJo, paired | 34.241 | 58.135 | -23.894 | 0.58899 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common ATs has 60.52% equity, and with none in common it has 61.11%. ATs does better with no shared suit, by 0.59 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | QJo wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.274 | 0.498 | 39.228 | 60.523 |
| No shared suit | 24 | 50.00 | 60.904 | 0.417 | 38.679 | 61.112 |
How often this matchup comes up
Counting specific cards, ATs against QJo appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. ATs is worth $121.64 on average (+$21.64); QJo is worth $78.36 (-$21.64).
Think in thousands: about 606 of 1,000 go to ATs, about 389 go to QJo, and about 5 are chopped.
The same matchup from the other side
Read it from the other side: QJo against ATs is the same matchup with the numbers swapped, so QJo holds 39.18% and ATs holds 60.82%. That address sends you back to this page.
Keep exploring
Open the calculator with AsTs against QhJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of ATs against QJo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
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