A6s
55.45%
Wins 55.21%, ties 0.48%
QTs
44.55%
Wins 44.31%, ties 0.48%
A6s against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 55.209 | 0.475 | 44.316 | 55.447 |
| QTs | 44.316 | 0.475 | 55.209 | 44.553 |
This is a contest between two suited hands, A6s and QTs. 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 0.48% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A6s at 31 and QTs at 34 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 15,126,000 | 130,000 | 12,141,000 |
| QTs | 12,141,000 | 130,000 | 15,126,000 |
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) |
|---|---|---|---|---|
| A6s | 1.245 | 1.811 | 2.257 | 0.804 |
| QTs | 0.804 | 2.257 | 1.811 | 1.245 |
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
Split by what the flop looks like, A6s peaks at 72.17% on low rainbow flops (nine high or lower) and bottoms out at 49.24% on rainbow flops topped by a ten or better. Rainbow flops topped by a ten or better favor QTs, the hand that is behind overall.
| Flop | Share of flops | A6s wins | Ties | QTs wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.186 | 0.115 | 50.699 | 49.244 |
| Rainbow, nine or lower | 7.042 | 71.802 | 0.739 | 27.459 | 72.171 |
| Two-tone | 46.727 | 54.079 | 0.233 | 45.688 | 54.195 |
| Monotone | 5.273 | 51.543 | 3.398 | 45.059 | 53.242 |
| Paired | 17.091 | 61.004 | 0.632 | 38.364 | 61.320 |
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 -4.46 points for A6s, from 59.91%, and -14.92 for QTs, from 59.47%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 55.447 | 59.906 | -4.459 | 0.92557 |
| A6s, rainbow, ten or higher | 49.244 | 59.906 | -10.662 | 0.82202 |
| A6s, rainbow, nine or lower | 72.171 | 59.906 | +12.265 | 1.20474 |
| A6s, two-tone | 54.195 | 59.906 | -5.711 | 0.90467 |
| A6s, monotone | 53.242 | 59.906 | -6.664 | 0.88876 |
| A6s, paired | 61.320 | 59.906 | +1.414 | 1.02360 |
| QTs, all flops | 44.553 | 59.468 | -14.915 | 0.74919 |
| QTs, rainbow, ten or higher | 50.756 | 59.468 | -8.712 | 0.85350 |
| QTs, rainbow, nine or lower | 27.829 | 59.468 | -31.639 | 0.46797 |
| QTs, two-tone | 45.805 | 59.468 | -13.663 | 0.77025 |
| QTs, monotone | 46.758 | 59.468 | -12.710 | 0.78627 |
| QTs, paired | 38.680 | 59.468 | -20.788 | 0.65043 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A6s has 57.16% equity, and with none in common it has 54.88%. A6s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | QTs wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.882 | 0.552 | 42.566 | 57.158 |
| No shared suit | 12 | 75.00 | 54.651 | 0.450 | 44.899 | 54.876 |
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. A6s is worth $110.90 on average (+$10.90); QTs is worth $89.10 (-$10.90).
Over a long run, 1,000 deals split into about 552 for A6s, 443 for QTs and 5 tied.
The same matchup from the other side
QTs versus A6s is this same page seen from the other hand: 44.55% for QTs, 55.45% for A6s.
Keep exploring
Open the calculator with As6s against QhTh 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
We counted every case. Each suit pattern of the 16 specific A6s against QTs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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