Q9s
59.69%
Wins 59.24%, ties 0.91%
JTo
40.31%
Wins 39.85%, ties 0.91%
Q9s against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 59.235 | 0.908 | 39.857 | 59.689 |
| JTo | 39.857 | 0.908 | 59.235 | 40.311 |
We compare a suited hand with an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
Q9s is ahead, but JTo is far from dead: it takes 399 of every 1,000 deals outright. A split pot comes up on 0.91% of boards, so the wins and the equity differ by half of that.
Place 43 of 169 belongs to Q9s and place 57 belongs to JTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 48,686,000 | 746,000 | 32,759,000 |
| JTo | 32,759,000 | 746,000 | 48,686,000 |
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) |
|---|---|---|---|---|
| Q9s | 1.481 | 1.688 | 2.509 | 0.675 |
| JTo | 0.675 | 2.509 | 1.688 | 1.481 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and Q9s is strongest on low rainbow flops (nine high or lower) (72.05%) and weakest on rainbow flops topped by a ten or better (53.93%). Q9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | Q9s wins | Ties | JTo wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 53.707 | 0.448 | 45.845 | 53.931 |
| Rainbow, nine or lower | 7.042 | 71.687 | 0.728 | 27.585 | 72.051 |
| Two-tone | 46.667 | 59.095 | 0.478 | 40.427 | 59.334 |
| Monotone | 5.212 | 54.801 | 2.534 | 42.665 | 56.068 |
| Paired | 17.091 | 63.595 | 2.307 | 34.098 | 64.749 |
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
Start from the random-hand figures, 57.66% for Q9s and 55.25% for JTo. This opponent changes them by +2.03 and -14.94 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 59.689 | 57.664 | +2.025 | 1.03512 |
| Q9s, rainbow, ten or higher | 53.931 | 57.664 | -3.733 | 0.93526 |
| Q9s, rainbow, nine or lower | 72.051 | 57.664 | +14.387 | 1.24950 |
| Q9s, two-tone | 59.334 | 57.664 | +1.670 | 1.02896 |
| Q9s, monotone | 56.068 | 57.664 | -1.596 | 0.97232 |
| Q9s, paired | 64.749 | 57.664 | +7.085 | 1.12287 |
| JTo, all flops | 40.311 | 55.248 | -14.937 | 0.72964 |
| JTo, rainbow, ten or higher | 46.069 | 55.248 | -9.179 | 0.83386 |
| JTo, rainbow, nine or lower | 27.949 | 55.248 | -27.299 | 0.50588 |
| JTo, two-tone | 40.666 | 55.248 | -14.582 | 0.73606 |
| JTo, monotone | 43.932 | 55.248 | -11.316 | 0.79518 |
| JTo, paired | 35.251 | 55.248 | -19.997 | 0.63805 |
Does a shared suit matter?
The suit split reads 59.40% for Q9s with a shared suit and 59.98% without one. Q9s does better with no shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | JTo wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.927 | 0.948 | 40.125 | 59.401 |
| No shared suit | 24 | 50.00 | 59.543 | 0.868 | 39.589 | 59.977 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $119.38 for Q9s and $80.62 for JTo; the first side gains $19.38 per all-in and the second gives up $19.38.
Per 1,000 deals: Q9s wins about 592, JTo wins about 399, and about 9 end in a split pot.
The same matchup from the other side
The reversed view, JTo against Q9s, shows 40.31% for JTo and 59.69% for Q9s. It is the same count, so it redirects here.
Keep exploring
Try Qs9s against JhTd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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