Q9s
32.12%
Wins 27.05%, ties 10.15%
QTo
67.88%
Wins 62.80%, ties 10.15%
Q9s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 27.050 | 10.148 | 62.802 | 32.124 |
| QTo | 62.802 | 10.148 | 27.050 | 67.876 |
Here a suited hand (Q9s) meets an offsuit hand (QTo). 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.
QTo is the clear favorite, though Q9s gets there on roughly one board in 3. The tie share is 10.15%: on those boards the pot is chopped and neither hand wins outright.
Q9s ranks number 43 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 |
|---|---|---|---|
| Q9s | 16,674,000 | 6,256,000 | 38,713,000 |
| QTo | 38,713,000 | 6,256,000 | 16,674,000 |
The total is exact: 36 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 | 0.473 | 3.697 | 1.592 | 2.113 |
| QTo | 2.113 | 1.592 | 3.697 | 0.473 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
QTo prefers rainbow flops topped by a ten or better, where it holds 73.82%, and likes low rainbow flops (nine high or lower) least, where it holds 62.10%. QTo stays ahead on all five textures.
| Flop | Share of flops | Q9s wins | Ties | QTo wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 21.677 | 9.015 | 69.308 | 26.185 |
| Rainbow, nine or lower | 7.042 | 36.540 | 2.730 | 60.730 | 37.905 |
| Two-tone | 46.527 | 28.976 | 7.159 | 63.865 | 32.555 |
| Monotone | 5.192 | 32.782 | 7.560 | 59.658 | 36.562 |
| Paired | 17.334 | 23.717 | 23.526 | 52.757 | 35.480 |
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
Relative to a random opponent, Q9s changes by -25.54 points (baseline 57.66%) and QTo by +10.59 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 32.124 | 57.664 | -25.540 | 0.55709 |
| Q9s, rainbow, ten or higher | 26.185 | 57.664 | -31.479 | 0.45410 |
| Q9s, rainbow, nine or lower | 37.905 | 57.664 | -19.759 | 0.65734 |
| Q9s, two-tone | 32.555 | 57.664 | -25.109 | 0.56456 |
| Q9s, monotone | 36.562 | 57.664 | -21.102 | 0.63405 |
| Q9s, paired | 35.480 | 57.664 | -22.184 | 0.61529 |
| QTo, all flops | 67.876 | 57.291 | +10.585 | 1.18476 |
| QTo, rainbow, ten or higher | 73.815 | 57.291 | +16.524 | 1.28842 |
| QTo, rainbow, nine or lower | 62.095 | 57.291 | +4.804 | 1.08385 |
| QTo, two-tone | 67.445 | 57.291 | +10.154 | 1.17724 |
| QTo, monotone | 63.438 | 57.291 | +6.147 | 1.10729 |
| QTo, paired | 64.520 | 57.291 | +7.229 | 1.12618 |
Does a shared suit matter?
Split by suits, the deals give QTo 68.58% when the hands overlap in a suit and 67.53% when they do not. QTo does better with a shared suit, by 1.05 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | QTo wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.283 | 10.284 | 63.433 | 31.425 |
| No shared suit | 24 | 66.67 | 27.433 | 10.080 | 62.487 | 32.473 |
How often this matchup comes up
Q9s against QTo 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
To see what the equity is worth, imagine $100 each in a $200 pot. QTo is worth $135.76 on average (+$35.76); Q9s is worth $64.24 (-$35.76).
A thousand deals look like this: QTo takes 628, Q9s takes 271, 101 are ties.
The same matchup from the other side
QTo against Q9s adds nothing new: it is 67.88% for QTo and 32.12% for Q9s, the same figures reversed.
Keep exploring
The calculator link fills in Qs9s against QhTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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