KJo
62.68%
Wins 62.34%, ties 0.68%
QTo
37.32%
Wins 36.98%, ties 0.68%
KJo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 62.338 | 0.684 | 36.978 | 62.680 |
| QTo | 36.978 | 0.684 | 62.338 | 37.320 |
This is a contest between two offsuit hands, KJo and QTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 25.36 point lead is real, and QTo still takes about 370 of every 1,000 deals outright. Of every 100 boards, about 0.68 are split pots, and the equity figures already include them.
Among the 169 starting hands, KJo is number 26 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 153,708,000 | 1,687,000 | 91,177,000 |
| QTo | 91,177,000 | 1,687,000 | 153,708,000 |
144 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) |
|---|---|---|---|---|
| KJo | 1.680 | 1.604 | 2.704 | 0.595 |
| QTo | 0.595 | 2.704 | 1.604 | 1.680 |
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
If you know the kind of flop that came, the numbers shift: KJo holds 74.08% on low rainbow flops (nine high or lower) and 58.21% on rainbow flops topped by a ten or better. KJo 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 | KJo wins | Ties | QTo wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 58.070 | 0.271 | 41.659 | 58.206 |
| Rainbow, nine or lower | 7.771 | 73.593 | 0.981 | 25.426 | 74.084 |
| Two-tone | 46.606 | 61.807 | 0.433 | 37.760 | 62.024 |
| Monotone | 5.151 | 59.707 | 1.817 | 38.476 | 60.616 |
| Paired | 17.091 | 65.300 | 1.454 | 33.246 | 66.027 |
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
Against one random hand instead, KJo holds 60.57% and QTo holds 57.29%. Facing each other changes that by +2.11 points for KJo and -19.97 points for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 62.680 | 60.569 | +2.111 | 1.03485 |
| KJo, rainbow, ten or higher | 58.206 | 60.569 | -2.363 | 0.96099 |
| KJo, rainbow, nine or lower | 74.084 | 60.569 | +13.515 | 1.22313 |
| KJo, two-tone | 62.024 | 60.569 | +1.455 | 1.02402 |
| KJo, monotone | 60.616 | 60.569 | +0.047 | 1.00078 |
| KJo, paired | 66.027 | 60.569 | +5.458 | 1.09011 |
| QTo, all flops | 37.320 | 57.291 | -19.971 | 0.65141 |
| QTo, rainbow, ten or higher | 41.794 | 57.291 | -15.497 | 0.72950 |
| QTo, rainbow, nine or lower | 25.916 | 57.291 | -31.375 | 0.45236 |
| QTo, two-tone | 37.976 | 57.291 | -19.315 | 0.66286 |
| QTo, monotone | 39.384 | 57.291 | -17.907 | 0.68744 |
| QTo, paired | 33.973 | 57.291 | -23.318 | 0.59299 |
Does a shared suit matter?
The suit split reads 62.74% for KJo with a shared suit and 62.36% without one. KJo does better with a shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | QTo wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 62.394 | 0.699 | 36.907 | 62.744 |
| No shared suit | 24 | 16.67 | 62.060 | 0.604 | 37.336 | 62.362 |
How often this matchup comes up
The class pair covers 144 combinations of specific cards in a fixed seat order, 0.0089% of 1,624,350, and 288 (0.0177%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJo's average share is $125.36 (a gain of $25.36) and QTo's is $74.64 (a loss of $25.36).
Run 1,000 deals and the tally comes out near 623 for KJo, 370 for QTo and 7 ties.
The same matchup from the other side
QTo against KJo adds nothing new: it is 37.32% for QTo and 62.68% for KJo, the same figures reversed.
Keep exploring
The calculator link fills in KsJh against QdTc, 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 144 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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