QTs
44.53%
Wins 44.27%, ties 0.54%
A2s
55.47%
Wins 55.19%, ties 0.54%
QTs against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 44.265 | 0.537 | 55.198 | 44.533 |
| A2s | 55.198 | 0.537 | 44.265 | 55.467 |
Each side holds one of the suited hands: QTs and A2s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 10.94 point lead is real, and QTs still takes about 443 of every 1,000 deals outright. Ties are part of the picture: 0.54% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, QTs is number 34 and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 12,127,000 | 147,000 | 15,123,000 |
| A2s | 15,123,000 | 147,000 | 12,127,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| QTs | 0.803 | 2.259 | 1.812 | 1.246 |
| A2s | 1.246 | 1.812 | 2.259 | 0.803 |
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
The flop changes the picture. A2s does best on low rainbow flops (nine high or lower), at 71.72%, and worst on rainbow flops topped by a ten or better, at 49.38%. A2s is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | QTs wins | Ties | A2s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 50.545 | 0.152 | 49.303 | 50.621 |
| Rainbow, nine or lower | 7.042 | 27.799 | 0.967 | 71.234 | 28.282 |
| Two-tone | 46.727 | 45.636 | 0.300 | 54.064 | 45.786 |
| Monotone | 5.273 | 44.992 | 3.443 | 51.565 | 46.713 |
| Paired | 17.091 | 38.305 | 0.649 | 61.046 | 38.629 |
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
Each hand has a baseline against a random hand: 59.47% for QTs, 57.38% for A2s. Here the change is -14.94 and -1.91 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 44.533 | 59.468 | -14.935 | 0.74886 |
| QTs, rainbow, ten or higher | 50.621 | 59.468 | -8.847 | 0.85123 |
| QTs, rainbow, nine or lower | 28.282 | 59.468 | -31.186 | 0.47558 |
| QTs, two-tone | 45.786 | 59.468 | -13.682 | 0.76993 |
| QTs, monotone | 46.713 | 59.468 | -12.755 | 0.78551 |
| QTs, paired | 38.629 | 59.468 | -20.839 | 0.64958 |
| A2s, all flops | 55.467 | 57.379 | -1.912 | 0.96668 |
| A2s, rainbow, ten or higher | 49.379 | 57.379 | -8.000 | 0.86058 |
| A2s, rainbow, nine or lower | 71.718 | 57.379 | +14.339 | 1.24990 |
| A2s, two-tone | 54.214 | 57.379 | -3.165 | 0.94484 |
| A2s, monotone | 53.287 | 57.379 | -4.092 | 0.92868 |
| A2s, paired | 61.371 | 57.379 | +3.992 | 1.06957 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A2s at 57.18%) and 12 do not (54.90%). A2s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | A2s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 42.510 | 0.619 | 56.871 | 42.819 |
| No shared suit | 12 | 75.00 | 44.849 | 0.510 | 54.641 | 45.104 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A2s averages $110.94 from the $200, up $10.94; QTs averages $89.06, down $10.94.
A thousand deals look like this: A2s takes 552, QTs takes 443, 5 are ties.
The same matchup from the other side
A2s against QTs adds nothing new: it is 55.47% for A2s and 44.53% for QTs, the same figures reversed.
Keep exploring
Open the calculator with QsTs against Ah2h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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