QTs
69.08%
Wins 64.25%, ties 9.66%
Q9s
30.92%
Wins 26.09%, ties 9.66%
QTs against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 64.249 | 9.657 | 26.094 | 69.077 |
| Q9s | 26.094 | 9.657 | 64.249 | 30.923 |
Here suited hands face each other, QTs on one side and Q9s on the other. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 69.08% to 30.92%, but Q9s still wins often enough that one hand proves nothing. Ties are 9.66% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, QTs holds place 34 of 169 and Q9s holds place 43.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 13,202,000 | 1,984,000 | 5,362,000 |
| Q9s | 5,362,000 | 1,984,000 | 13,202,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| QTs | 2.234 | 1.556 | 3.832 | 0.448 |
| Q9s | 0.448 | 3.832 | 1.556 | 2.234 |
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
QTs prefers rainbow flops topped by a ten or better, where it holds 74.44%, and likes low rainbow flops (nine high or lower) least, where it holds 63.38%. QTs stays ahead on all five textures.
| Flop | Share of flops | QTs wins | Ties | Q9s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 70.046 | 8.781 | 21.173 | 74.436 |
| Rainbow, nine or lower | 7.042 | 62.055 | 2.639 | 35.306 | 63.375 |
| Two-tone | 46.543 | 65.671 | 6.673 | 27.656 | 69.007 |
| Monotone | 5.215 | 59.516 | 7.784 | 32.700 | 63.408 |
| Paired | 17.333 | 54.766 | 22.288 | 22.946 | 65.910 |
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
How much does the opponent matter? Compared with its random-hand 59.47%, QTs changes by +9.61 points, and Q9s, from 57.66%, by -26.74.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 69.077 | 59.468 | +9.609 | 1.16158 |
| QTs, rainbow, ten or higher | 74.436 | 59.468 | +14.968 | 1.25170 |
| QTs, rainbow, nine or lower | 63.375 | 59.468 | +3.907 | 1.06570 |
| QTs, two-tone | 69.007 | 59.468 | +9.539 | 1.16041 |
| QTs, monotone | 63.408 | 59.468 | +3.940 | 1.06625 |
| QTs, paired | 65.910 | 59.468 | +6.442 | 1.10833 |
| Q9s, all flops | 30.923 | 57.664 | -26.741 | 0.53626 |
| Q9s, rainbow, ten or higher | 25.564 | 57.664 | -32.100 | 0.44333 |
| Q9s, rainbow, nine or lower | 36.625 | 57.664 | -21.039 | 0.63514 |
| Q9s, two-tone | 30.993 | 57.664 | -26.671 | 0.53748 |
| Q9s, monotone | 36.592 | 57.664 | -21.072 | 0.63457 |
| Q9s, paired | 34.090 | 57.664 | -23.574 | 0.59118 |
Does a shared suit matter?
QTs and Q9s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | QTs wins | Ties | Q9s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 64.249 | 9.657 | 26.094 | 69.077 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: QTs averages $138.16 back, ahead of its $100 by $38.16, while Q9s averages $61.84, short of its $100 by $38.16.
In 1,000 deals of exactly this matchup, expect about 642 won outright by QTs, about 261 won outright by Q9s and about 97 split.
The same matchup from the other side
If you came looking for Q9s against QTs, the numbers are the same with the hands swapped: 30.92% and 69.08%.
Keep exploring
Open the calculator with QsTs against Qh9h 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
This is an exact count with no sampling. For the 12 ways to deal one QTs and one Q9s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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