A6s
58.14%
Wins 57.93%, ties 0.43%
QTo
41.86%
Wins 41.64%, ties 0.43%
A6s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 57.927 | 0.429 | 41.644 | 58.142 |
| QTo | 41.644 | 0.429 | 57.927 | 41.858 |
Here a suited hand (A6s) meets an offsuit hand (QTo). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.43% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
A6s ranks number 31 of 169 starting hands, and QTo ranks number 47, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 47,611,000 | 353,000 | 34,227,000 |
| QTo | 34,227,000 | 353,000 | 47,611,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A6s | 1.389 | 1.726 | 2.401 | 0.720 |
| QTo | 0.720 | 2.401 | 1.726 | 1.389 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Across the five flop textures A6s' equity moves by 24.04 points, from 50.51% on rainbow flops topped by a ten or better to 74.55% on low rainbow flops (nine high or lower). A6s 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 | A6s wins | Ties | QTo wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.444 | 0.121 | 49.435 | 50.505 |
| Rainbow, nine or lower | 7.042 | 74.169 | 0.768 | 25.063 | 74.553 |
| Two-tone | 46.667 | 57.593 | 0.248 | 42.159 | 57.717 |
| Monotone | 5.212 | 54.012 | 2.356 | 43.632 | 55.190 |
| Paired | 17.091 | 63.842 | 0.632 | 35.526 | 64.158 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A6s from 59.91% by -1.77 points and QTo from 57.29% by -15.43 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 58.142 | 59.906 | -1.764 | 0.97055 |
| A6s, rainbow, ten or higher | 50.505 | 59.906 | -9.401 | 0.84307 |
| A6s, rainbow, nine or lower | 74.553 | 59.906 | +14.647 | 1.24450 |
| A6s, two-tone | 57.717 | 59.906 | -2.189 | 0.96346 |
| A6s, monotone | 55.190 | 59.906 | -4.716 | 0.92128 |
| A6s, paired | 64.158 | 59.906 | +4.252 | 1.07098 |
| QTo, all flops | 41.858 | 57.291 | -15.433 | 0.73062 |
| QTo, rainbow, ten or higher | 49.495 | 57.291 | -7.796 | 0.86392 |
| QTo, rainbow, nine or lower | 25.447 | 57.291 | -31.844 | 0.44417 |
| QTo, two-tone | 42.283 | 57.291 | -15.008 | 0.73804 |
| QTo, monotone | 44.810 | 57.291 | -12.481 | 0.78215 |
| QTo, paired | 35.842 | 57.291 | -21.449 | 0.62561 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A6s has 57.79% equity, and with none in common it has 58.50%. A6s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | QTo wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.551 | 0.471 | 41.978 | 57.786 |
| No shared suit | 24 | 50.00 | 58.303 | 0.388 | 41.309 | 58.497 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A6s in one seat and QTo in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $116.28 for A6s and $83.72 for QTo; the first side gains $16.28 per all-in and the second gives up $16.28.
In 1,000 deals of exactly this matchup, expect about 579 won outright by A6s, about 417 won outright by QTo and about 4 split.
The same matchup from the other side
The reversed view, QTo against A6s, shows 41.86% for QTo and 58.14% for A6s. It is the same count, so it redirects here.
Keep exploring
Open the calculator with As6s against QhTd 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 48 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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