QJs
73.79%
Wins 69.91%, ties 7.75%
QTo
26.21%
Wins 22.34%, ties 7.75%
QJs against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 69.914 | 7.746 | 22.340 | 73.787 |
| QTo | 22.340 | 7.746 | 69.914 | 26.213 |
Here a suited hand (QJs) meets an offsuit hand (QTo). Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 47.58 points is large but not decisive: QTo still takes about 223 of every 1,000 deals. The tie share is 7.75%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, QJs is number 28 of the 169 starting hands and QTo is number 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 43,097,000 | 4,775,000 | 13,771,000 |
| QTo | 13,771,000 | 4,775,000 | 43,097,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJs | 2.815 | 1.430 | 4.476 | 0.355 |
| QTo | 0.355 | 4.476 | 1.430 | 2.815 |
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
Low rainbow flops (nine high or lower) are the best for QJs (84.73%); monotone flops are the worst (66.68%). QJs 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 | QJs wins | Ties | QTo wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 68.415 | 6.116 | 25.469 | 71.473 |
| Rainbow, nine or lower | 7.771 | 82.890 | 3.684 | 13.426 | 84.732 |
| Two-tone | 46.527 | 72.113 | 5.234 | 22.653 | 74.730 |
| Monotone | 5.192 | 63.624 | 6.114 | 30.262 | 66.681 |
| Paired | 17.333 | 62.083 | 18.981 | 18.936 | 71.573 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 60.26% for QJs and 57.29% for QTo. This opponent changes them by +13.53 and -31.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 73.787 | 60.259 | +13.528 | 1.22450 |
| QJs, rainbow, ten or higher | 71.473 | 60.259 | +11.214 | 1.18610 |
| QJs, rainbow, nine or lower | 84.732 | 60.259 | +24.473 | 1.40613 |
| QJs, two-tone | 74.730 | 60.259 | +14.471 | 1.24015 |
| QJs, monotone | 66.681 | 60.259 | +6.422 | 1.10657 |
| QJs, paired | 71.573 | 60.259 | +11.314 | 1.18776 |
| QTo, all flops | 26.213 | 57.291 | -31.078 | 0.45754 |
| QTo, rainbow, ten or higher | 28.527 | 57.291 | -28.764 | 0.49793 |
| QTo, rainbow, nine or lower | 15.268 | 57.291 | -42.023 | 0.26650 |
| QTo, two-tone | 25.270 | 57.291 | -32.021 | 0.44108 |
| QTo, monotone | 33.319 | 57.291 | -23.972 | 0.58157 |
| QTo, paired | 28.427 | 57.291 | -28.864 | 0.49619 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QJs has 73.66% equity, and with none in common it has 73.85%. The two rows differ by only 0.19 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QJs wins | Ties | QTo wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.729 | 7.852 | 22.419 | 73.655 |
| No shared suit | 24 | 66.67 | 70.007 | 7.693 | 22.300 | 73.853 |
How often this matchup comes up
QJs against QTo is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
With $100 from each side, the $200 pot is split on average as $147.58 for QJs and $52.42 for QTo; the first side gains $47.58 per all-in and the second gives up $47.58.
Think in thousands: about 699 of 1,000 go to QJs, about 223 go to QTo, and about 78 are chopped.
The same matchup from the other side
QTo against QJs adds nothing new: it is 26.21% for QTo and 73.79% for QJs, the same figures reversed.
Keep exploring
The calculator link fills in QsJs against QhTd, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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