QTo
62.11%
Wins 61.67%, ties 0.88%
97s
37.89%
Wins 37.45%, ties 0.88%
QTo against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 61.667 | 0.876 | 37.457 | 62.105 |
| 97s | 37.457 | 0.876 | 61.667 | 37.895 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 24.22 point lead is real, and 97s still takes about 374 of every 1,000 deals outright. A split pot comes up on 0.88% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, QTo is number 47 of the 169 starting hands and 97s is number 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 50,684,000 | 720,000 | 30,786,000 |
| 97s | 30,786,000 | 720,000 | 50,684,000 |
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) |
|---|---|---|---|---|
| QTo | 1.639 | 1.622 | 2.670 | 0.610 |
| 97s | 0.610 | 2.670 | 1.622 | 1.639 |
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
If you know the kind of flop that came, the numbers shift: QTo holds 69.83% on rainbow flops topped by a ten or better and 39.49% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 97s is the one ahead.
| Flop | Share of flops | QTo wins | Ties | 97s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.585 | 0.481 | 29.934 | 69.825 |
| Rainbow, nine or lower | 6.313 | 39.259 | 0.451 | 60.290 | 39.485 |
| Two-tone | 46.667 | 60.506 | 0.447 | 39.047 | 60.730 |
| Monotone | 5.212 | 58.788 | 2.517 | 38.695 | 60.046 |
| Paired | 17.091 | 62.543 | 2.274 | 35.183 | 63.680 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, QTo holds 57.29% and 97s holds 49.12%. Facing each other changes that by +4.82 points for QTo and -11.23 points for 97s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 62.105 | 57.291 | +4.814 | 1.08403 |
| QTo, rainbow, ten or higher | 69.825 | 57.291 | +12.534 | 1.21878 |
| QTo, rainbow, nine or lower | 39.485 | 57.291 | -17.806 | 0.68920 |
| QTo, two-tone | 60.730 | 57.291 | +3.439 | 1.06003 |
| QTo, monotone | 60.046 | 57.291 | +2.755 | 1.04809 |
| QTo, paired | 63.680 | 57.291 | +6.389 | 1.11152 |
| 97s, all flops | 37.895 | 49.118 | -11.223 | 0.77151 |
| 97s, rainbow, ten or higher | 30.175 | 49.118 | -18.943 | 0.61434 |
| 97s, rainbow, nine or lower | 60.515 | 49.118 | +11.397 | 1.23203 |
| 97s, two-tone | 39.270 | 49.118 | -9.848 | 0.79950 |
| 97s, monotone | 39.954 | 49.118 | -9.164 | 0.81343 |
| 97s, paired | 36.320 | 49.118 | -12.798 | 0.73944 |
Does a shared suit matter?
The suit split reads 62.80% for QTo with a shared suit and 61.41% without one. QTo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 97s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.345 | 0.917 | 36.738 | 62.803 |
| No shared suit | 24 | 50.00 | 60.990 | 0.834 | 38.176 | 61.407 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTo averages $124.22 from the $200, up $24.22; 97s averages $75.78, down $24.22.
A thousand deals look like this: QTo takes 617, 97s takes 374, 9 are ties.
The same matchup from the other side
If you came looking for 97s against QTo, the numbers are the same with the hands swapped: 37.89% and 62.11%.
Keep exploring
QsTh against 9d7d 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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