Q9s
61.55%
Wins 61.09%, ties 0.93%
T8s
38.45%
Wins 37.98%, ties 0.93%
Q9s against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 61.085 | 0.925 | 37.990 | 61.548 |
| T8s | 37.990 | 0.925 | 61.085 | 38.452 |
The matchup is suited hands on both sides, Q9s against T8s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 23.10 point lead is real, and T8s still takes about 380 of every 1,000 deals outright. The tie share is 0.93%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, Q9s is number 43 and T8s is number 73.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 16,735,000 | 253,000 | 10,408,000 |
| T8s | 10,408,000 | 253,000 | 16,735,000 |
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) |
|---|---|---|---|---|
| Q9s | 1.601 | 1.637 | 2.632 | 0.625 |
| T8s | 0.625 | 2.632 | 1.637 | 1.601 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Q9s prefers paired flops, where it holds 64.27%, and likes monotone flops least, where it holds 58.50%. Q9s stays ahead on all five textures.
| Flop | Share of flops | Q9s wins | Ties | T8s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 62.194 | 0.472 | 37.334 | 62.430 |
| Rainbow, nine or lower | 6.366 | 58.870 | 0.510 | 40.620 | 59.125 |
| Two-tone | 46.727 | 60.545 | 0.438 | 39.017 | 60.764 |
| Monotone | 5.273 | 56.736 | 3.525 | 39.739 | 58.498 |
| Paired | 17.091 | 63.137 | 2.258 | 34.605 | 64.266 |
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, 57.66% for Q9s and 52.33% for T8s. This opponent changes them by +3.89 and -13.88 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 61.548 | 57.664 | +3.884 | 1.06736 |
| Q9s, rainbow, ten or higher | 62.430 | 57.664 | +4.766 | 1.08265 |
| Q9s, rainbow, nine or lower | 59.125 | 57.664 | +1.461 | 1.02534 |
| Q9s, two-tone | 60.764 | 57.664 | +3.100 | 1.05376 |
| Q9s, monotone | 58.498 | 57.664 | +0.834 | 1.01446 |
| Q9s, paired | 64.266 | 57.664 | +6.602 | 1.11449 |
| T8s, all flops | 38.452 | 52.334 | -13.882 | 0.73474 |
| T8s, rainbow, ten or higher | 37.570 | 52.334 | -14.764 | 0.71789 |
| T8s, rainbow, nine or lower | 40.875 | 52.334 | -11.459 | 0.78104 |
| T8s, two-tone | 39.236 | 52.334 | -13.098 | 0.74972 |
| T8s, monotone | 41.502 | 52.334 | -10.832 | 0.79302 |
| T8s, paired | 35.734 | 52.334 | -16.600 | 0.68281 |
Does a shared suit matter?
When the hands share a suit, Q9s holds 63.87%; when they do not, it holds 60.77%. Q9s does better with a shared suit, by 3.10 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | T8s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.361 | 1.021 | 35.618 | 63.872 |
| No shared suit | 12 | 75.00 | 60.327 | 0.893 | 38.780 | 60.773 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says Q9s gets $123.10 of it on average and T8s gets $76.90.
In 1,000 deals of exactly this matchup, expect about 611 won outright by Q9s, about 380 won outright by T8s and about 9 split.
The same matchup from the other side
T8s versus Q9s is this same page seen from the other hand: 38.45% for T8s, 61.55% for Q9s.
Keep exploring
Open the calculator with Qs9s against Th8h 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
Nothing here is simulated. The 16 deals of Q9s against T8s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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