QJo
61.01%
Wins 60.56%, ties 0.89%
98s
38.99%
Wins 38.55%, ties 0.89%
QJo against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.564 | 0.888 | 38.548 | 61.008 |
| 98s | 38.548 | 0.888 | 60.564 | 38.992 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.89% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts QJo at 39 and 98s at 83 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,778,000 | 730,000 | 31,683,000 |
| 98s | 31,683,000 | 730,000 | 49,778,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| QJo | 1.565 | 1.651 | 2.594 | 0.639 |
| 98s | 0.639 | 2.594 | 1.651 | 1.565 |
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. QJo does best on rainbow flops topped by a ten or better, at 68.32%, and worst on low rainbow flops (nine high or lower), at 39.33%. The overall edge for QJo hides low rainbow flops (nine high or lower), where 98s comes out in front.
| Flop | Share of flops | QJo wins | Ties | 98s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.093 | 0.449 | 31.458 | 68.317 |
| Rainbow, nine or lower | 6.313 | 39.002 | 0.665 | 60.333 | 39.334 |
| Two-tone | 46.667 | 59.414 | 0.462 | 40.124 | 59.645 |
| Monotone | 5.212 | 58.019 | 2.527 | 39.454 | 59.282 |
| Paired | 17.091 | 61.558 | 2.266 | 36.176 | 62.691 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, QJo holds 58.14% and 98s holds 50.80%. Facing each other changes that by +2.87 points for QJo and -11.81 points for 98s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 61.008 | 58.135 | +2.873 | 1.04942 |
| QJo, rainbow, ten or higher | 68.317 | 58.135 | +10.182 | 1.17514 |
| QJo, rainbow, nine or lower | 39.334 | 58.135 | -18.801 | 0.67660 |
| QJo, two-tone | 59.645 | 58.135 | +1.510 | 1.02597 |
| QJo, monotone | 59.282 | 58.135 | +1.147 | 1.01973 |
| QJo, paired | 62.691 | 58.135 | +4.556 | 1.07837 |
| 98s, all flops | 38.992 | 50.801 | -11.809 | 0.76754 |
| 98s, rainbow, ten or higher | 31.683 | 50.801 | -19.118 | 0.62367 |
| 98s, rainbow, nine or lower | 60.666 | 50.801 | +9.865 | 1.19419 |
| 98s, two-tone | 40.355 | 50.801 | -10.446 | 0.79437 |
| 98s, monotone | 40.718 | 50.801 | -10.083 | 0.80152 |
| 98s, paired | 37.309 | 50.801 | -13.492 | 0.73441 |
Does a shared suit matter?
Does suit overlap move the numbers? QJo has 61.69% when the hands share a suit and 60.33% when they do not. QJo does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 98s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.226 | 0.929 | 37.845 | 61.691 |
| No shared suit | 24 | 50.00 | 59.902 | 0.846 | 39.252 | 60.325 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QJo gets $122.02 of it on average and 98s gets $77.98.
A thousand deals look like this: QJo takes 606, 98s takes 385, 9 are ties.
The same matchup from the other side
If you came looking for 98s against QJo, the numbers are the same with the hands swapped: 38.99% and 61.01%.
Keep exploring
QsJh against 9d8d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QJo against 98s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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