QJs
64.47%
Wins 64.01%, ties 0.94%
T9s
35.53%
Wins 35.05%, ties 0.94%
QJs against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 64.005 | 0.936 | 35.059 | 64.473 |
| T9s | 35.059 | 0.936 | 64.005 | 35.527 |
Both hands are suited hands: QJs and T9s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 28.94 point lead is real, and T9s still takes about 351 of every 1,000 deals outright. The tie share is 0.94%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, QJs holds place 28 of 169 and T9s holds place 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 17,535,000 | 256,000 | 9,605,000 |
| T9s | 9,605,000 | 256,000 | 17,535,000 |
16 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) |
|---|---|---|---|---|
| QJs | 1.815 | 1.562 | 2.852 | 0.551 |
| T9s | 0.551 | 2.852 | 1.562 | 1.815 |
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
The flop changes the picture. QJs does best on rainbow flops topped by a ten or better, at 68.16%, and worst on low rainbow flops (nine high or lower), at 55.01%. QJs stays ahead on all five textures.
| Flop | Share of flops | QJs wins | Ties | T9s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.938 | 0.440 | 31.622 | 68.158 |
| Rainbow, nine or lower | 7.042 | 54.655 | 0.702 | 44.643 | 55.006 |
| Two-tone | 46.727 | 63.730 | 0.453 | 35.817 | 63.956 |
| Monotone | 5.273 | 59.533 | 3.532 | 36.935 | 61.299 |
| Paired | 17.091 | 64.496 | 2.246 | 33.258 | 65.619 |
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
A random hand would give QJs 60.26% and T9s 54.03%. Against each other the change is +4.21 points for QJs and -18.50 for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 64.473 | 60.259 | +4.214 | 1.06993 |
| QJs, rainbow, ten or higher | 68.158 | 60.259 | +7.899 | 1.13108 |
| QJs, rainbow, nine or lower | 55.006 | 60.259 | -5.253 | 0.91283 |
| QJs, two-tone | 63.956 | 60.259 | +3.697 | 1.06135 |
| QJs, monotone | 61.299 | 60.259 | +1.040 | 1.01726 |
| QJs, paired | 65.619 | 60.259 | +5.360 | 1.08895 |
| T9s, all flops | 35.527 | 54.028 | -18.501 | 0.65757 |
| T9s, rainbow, ten or higher | 31.842 | 54.028 | -22.186 | 0.58936 |
| T9s, rainbow, nine or lower | 44.994 | 54.028 | -9.034 | 0.83279 |
| T9s, two-tone | 36.044 | 54.028 | -17.984 | 0.66714 |
| T9s, monotone | 38.701 | 54.028 | -15.327 | 0.71631 |
| T9s, paired | 34.381 | 54.028 | -19.647 | 0.63636 |
Does a shared suit matter?
Does suit overlap move the numbers? QJs has 67.00% when the hands share a suit and 63.63% when they do not. QJs does better with a shared suit, by 3.37 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | T9s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 66.486 | 1.033 | 32.481 | 67.003 |
| No shared suit | 12 | 75.00 | 63.178 | 0.904 | 35.918 | 63.630 |
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
With $100 from each side, the $200 pot is split on average as $128.94 for QJs and $71.06 for T9s; the first side gains $28.94 per all-in and the second gives up $28.94.
Think in thousands: about 640 of 1,000 go to QJs, about 351 go to T9s, and about 9 are chopped.
The same matchup from the other side
Swap the hands and you get T9s with 35.53% against QJs with 64.47%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with QsJs against Th9h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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