QJo
73.56%
Wins 71.66%, ties 3.80%
JTo
26.44%
Wins 24.54%, ties 3.80%
QJo against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 71.657 | 3.797 | 24.546 | 73.555 |
| JTo | 24.546 | 3.797 | 71.657 | 26.445 |
Two offsuit hands meet here: QJo against JTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
QJo is well ahead, and JTo needs a specific kind of board to catch up. Split pots make up 3.80% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, QJo holds place 39 of 169 and JTo holds place 57.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 132,514,000 | 7,022,000 | 45,393,000 |
| JTo | 45,393,000 | 7,022,000 | 132,514,000 |
108 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) |
|---|---|---|---|---|
| QJo | 2.781 | 1.396 | 4.074 | 0.360 |
| JTo | 0.360 | 4.074 | 1.396 | 2.781 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for QJo (81.19%); monotone flops are the worst (69.93%). QJo stays ahead on all five textures.
| Flop | Share of flops | QJo wins | Ties | JTo wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.059 | 3.780 | 27.161 | 70.949 |
| Rainbow, nine or lower | 7.771 | 80.647 | 1.079 | 18.274 | 81.187 |
| Two-tone | 46.477 | 71.610 | 3.035 | 25.355 | 73.128 |
| Monotone | 5.144 | 68.027 | 3.809 | 28.164 | 69.931 |
| Paired | 17.333 | 72.316 | 7.079 | 20.605 | 75.856 |
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
Start from the random-hand figures, 58.14% for QJo and 55.25% for JTo. This opponent changes them by +15.42 and -28.81 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 73.555 | 58.135 | +15.420 | 1.26524 |
| QJo, rainbow, ten or higher | 70.949 | 58.135 | +12.814 | 1.22042 |
| QJo, rainbow, nine or lower | 81.187 | 58.135 | +23.052 | 1.39653 |
| QJo, two-tone | 73.128 | 58.135 | +14.993 | 1.25790 |
| QJo, monotone | 69.931 | 58.135 | +11.796 | 1.20291 |
| QJo, paired | 75.856 | 58.135 | +17.721 | 1.30482 |
| JTo, all flops | 26.445 | 55.248 | -28.803 | 0.47866 |
| JTo, rainbow, ten or higher | 29.051 | 55.248 | -26.197 | 0.52583 |
| JTo, rainbow, nine or lower | 18.813 | 55.248 | -36.435 | 0.34052 |
| JTo, two-tone | 26.872 | 55.248 | -28.376 | 0.48639 |
| JTo, monotone | 30.069 | 55.248 | -25.179 | 0.54425 |
| JTo, paired | 24.144 | 55.248 | -31.104 | 0.43701 |
Does a shared suit matter?
Two kinds of deal exist here. In 84 of them the hands share a suit and QJo holds 73.73%. In 24 they do not, and it holds 72.96%. QJo does better with a shared suit, by 0.77 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | JTo wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 71.811 | 3.827 | 24.362 | 73.725 |
| No shared suit | 24 | 22.22 | 71.117 | 3.692 | 25.191 | 72.963 |
How often this matchup comes up
The class pair covers 108 combinations of specific cards in a fixed seat order, 0.0066% of 1,624,350, and 216 (0.0133%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: QJo averages $147.12 back, ahead of its $100 by $47.12, while JTo averages $52.88, short of its $100 by $47.12.
Think in thousands: about 717 of 1,000 go to QJo, about 245 go to JTo, and about 38 are chopped.
The same matchup from the other side
JTo versus QJo is this same page seen from the other hand: 26.44% for JTo, 73.56% for QJo.
Keep exploring
The calculator link fills in QsJh against JdTc, 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
This is an exact count with no sampling. For the 108 ways to deal one QJo and one JTo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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