QTo
60.50%
Wins 60.04%, ties 0.91%
J9s
39.50%
Wins 39.05%, ties 0.91%
QTo against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.044 | 0.914 | 39.042 | 60.501 |
| J9s | 39.042 | 0.914 | 60.044 | 39.499 |
The first hand is an offsuit hand; the second is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
QTo is ahead, but J9s is far from dead: it takes 390 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.
By strength against a random hand, QTo holds place 47 of 169 and J9s holds place 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,351,000 | 751,000 | 32,089,000 |
| J9s | 32,089,000 | 751,000 | 49,351,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| QTo | 1.532 | 1.665 | 2.561 | 0.653 |
| J9s | 0.653 | 2.561 | 1.665 | 1.532 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
QTo prefers rainbow flops topped by a ten or better, where it holds 63.31%, and likes low rainbow flops (nine high or lower) least, where it holds 57.11%. QTo stays ahead on all five textures.
| Flop | Share of flops | QTo wins | Ties | J9s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 63.085 | 0.452 | 36.463 | 63.311 |
| Rainbow, nine or lower | 7.042 | 56.745 | 0.728 | 42.527 | 57.109 |
| Two-tone | 46.667 | 58.803 | 0.481 | 40.716 | 59.043 |
| Monotone | 5.212 | 56.591 | 2.537 | 40.872 | 57.860 |
| Paired | 17.091 | 61.579 | 2.327 | 36.094 | 62.742 |
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, 57.29% for QTo and 55.66% for J9s. This opponent changes them by +3.21 and -16.16 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 60.501 | 57.291 | +3.210 | 1.05603 |
| QTo, rainbow, ten or higher | 63.311 | 57.291 | +6.020 | 1.10508 |
| QTo, rainbow, nine or lower | 57.109 | 57.291 | -0.182 | 0.99682 |
| QTo, two-tone | 59.043 | 57.291 | +1.752 | 1.03058 |
| QTo, monotone | 57.860 | 57.291 | +0.569 | 1.00993 |
| QTo, paired | 62.742 | 57.291 | +5.451 | 1.09515 |
| J9s, all flops | 39.499 | 55.662 | -16.163 | 0.70962 |
| J9s, rainbow, ten or higher | 36.689 | 55.662 | -18.973 | 0.65914 |
| J9s, rainbow, nine or lower | 42.891 | 55.662 | -12.771 | 0.77056 |
| J9s, two-tone | 40.957 | 55.662 | -14.705 | 0.73582 |
| J9s, monotone | 42.140 | 55.662 | -13.522 | 0.75707 |
| J9s, paired | 37.258 | 55.662 | -18.404 | 0.66936 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and QTo holds 61.03%. In 24 they do not, and it holds 59.98%. QTo does better with a shared suit, by 1.05 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | J9s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.550 | 0.955 | 38.495 | 61.028 |
| No shared suit | 24 | 50.00 | 59.538 | 0.874 | 39.588 | 59.975 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. QTo is worth $121.00 on average (+$21.00); J9s is worth $79.00 (-$21.00).
Over a long run, 1,000 deals split into about 601 for QTo, 390 for J9s and 9 tied.
The same matchup from the other side
One page covers both views. From J9s' side the equity is 39.50%, and from QTo's side it is 60.50%.
Keep exploring
The calculator link fills in QsTh against Jd9d, 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
Nothing here is simulated. The 48 deals of QTo against J9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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