Q9s
72.71%
Wins 70.85%, ties 3.71%
T9o
27.29%
Wins 25.44%, ties 3.71%
Q9s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 70.853 | 3.711 | 25.436 | 72.708 |
| T9o | 25.436 | 3.711 | 70.853 | 27.292 |
Q9s and T9o are a suited hand and an offsuit hand, in that order. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
Q9s is well ahead, and T9o needs a specific kind of board to catch up. Ties are 3.71% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts Q9s at 43 and T9o at 78 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 43,676,000 | 2,288,000 | 15,679,000 |
| T9o | 15,679,000 | 2,288,000 | 43,676,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| Q9s | 2.664 | 1.411 | 3.931 | 0.375 |
| T9o | 0.375 | 3.931 | 1.411 | 2.664 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Q9s prefers low rainbow flops (nine high or lower), where it holds 78.50%, and likes monotone flops least, where it holds 65.45%. Q9s stays ahead on all five textures.
| Flop | Share of flops | Q9s wins | Ties | T9o wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.634 | 69.333 | 3.136 | 27.531 | 70.901 |
| Rainbow, nine or lower | 6.314 | 77.116 | 2.776 | 20.108 | 78.504 |
| Two-tone | 46.527 | 71.248 | 2.909 | 25.843 | 72.703 |
| Monotone | 5.192 | 63.307 | 4.291 | 32.402 | 65.452 |
| Paired | 17.333 | 71.929 | 6.849 | 21.222 | 75.354 |
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
The table below sets each hand against its own random-hand baseline: a change of +15.05 points for Q9s, from 57.66%, and -24.24 for T9o, from 51.53%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 72.708 | 57.664 | +15.044 | 1.26089 |
| Q9s, rainbow, ten or higher | 70.901 | 57.664 | +13.237 | 1.22955 |
| Q9s, rainbow, nine or lower | 78.504 | 57.664 | +20.840 | 1.36140 |
| Q9s, two-tone | 72.703 | 57.664 | +15.039 | 1.26080 |
| Q9s, monotone | 65.452 | 57.664 | +7.788 | 1.13506 |
| Q9s, paired | 75.354 | 57.664 | +17.690 | 1.30678 |
| T9o, all flops | 27.292 | 51.532 | -24.240 | 0.52961 |
| T9o, rainbow, ten or higher | 29.099 | 51.532 | -22.433 | 0.56468 |
| T9o, rainbow, nine or lower | 21.496 | 51.532 | -30.036 | 0.41714 |
| T9o, two-tone | 27.297 | 51.532 | -24.235 | 0.52971 |
| T9o, monotone | 34.548 | 51.532 | -16.984 | 0.67042 |
| T9o, paired | 24.646 | 51.532 | -26.886 | 0.47827 |
Does a shared suit matter?
Does suit overlap move the numbers? Q9s has 72.50% when the hands share a suit and 72.81% when they do not. Q9s does better with no shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | T9o wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.594 | 3.817 | 25.589 | 72.502 |
| No shared suit | 24 | 66.67 | 70.982 | 3.658 | 25.360 | 72.811 |
How often this matchup comes up
Q9s against T9o is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Put $100 each into a $200 pot and deal every board once: Q9s averages $145.42 back, ahead of its $100 by $45.42, while T9o averages $54.58, short of its $100 by $45.42.
Run 1,000 deals and the tally comes out near 709 for Q9s, 254 for T9o and 37 ties.
The same matchup from the other side
T9o versus Q9s is this same page seen from the other hand: 27.29% for T9o, 72.71% for Q9s.
Keep exploring
Qs9s against Th9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 36 specific Q9s against T9o 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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