KTo
59.56%
Wins 59.22%, ties 0.68%
QJo
40.44%
Wins 40.10%, ties 0.68%
KTo against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 59.218 | 0.684 | 40.098 | 59.560 |
| QJo | 40.098 | 0.684 | 59.218 | 40.440 |
Both hands are offsuit hands: KTo and QJo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.68%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, KTo is number 33 of the 169 starting hands and QJo is number 39.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 146,015,000 | 1,687,000 | 98,870,000 |
| QJo | 98,870,000 | 1,687,000 | 146,015,000 |
The board total is exact, 144 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) |
|---|---|---|---|---|
| KTo | 1.473 | 1.689 | 2.494 | 0.679 |
| QJo | 0.679 | 2.494 | 1.689 | 1.473 |
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
The flop changes the picture. KTo does best on low rainbow flops (nine high or lower), at 75.02%, and worst on rainbow flops topped by a ten or better, at 53.45%. KTo 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 | KTo wins | Ties | QJo wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 53.315 | 0.271 | 46.414 | 53.450 |
| Rainbow, nine or lower | 7.771 | 74.528 | 0.981 | 24.491 | 75.018 |
| Two-tone | 46.606 | 58.377 | 0.433 | 41.190 | 58.594 |
| Monotone | 5.151 | 55.719 | 1.817 | 42.464 | 56.628 |
| Paired | 17.091 | 63.682 | 1.454 | 34.864 | 64.409 |
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
Each hand has a baseline against a random hand: 59.74% for KTo, 58.14% for QJo. Here the change is -0.18 and -17.70 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 59.560 | 59.739 | -0.179 | 0.99700 |
| KTo, rainbow, ten or higher | 53.450 | 59.739 | -6.289 | 0.89473 |
| KTo, rainbow, nine or lower | 75.018 | 59.739 | +15.279 | 1.25576 |
| KTo, two-tone | 58.594 | 59.739 | -1.145 | 0.98083 |
| KTo, monotone | 56.628 | 59.739 | -3.111 | 0.94792 |
| KTo, paired | 64.409 | 59.739 | +4.670 | 1.07817 |
| QJo, all flops | 40.440 | 58.135 | -17.695 | 0.69562 |
| QJo, rainbow, ten or higher | 46.550 | 58.135 | -11.585 | 0.80072 |
| QJo, rainbow, nine or lower | 24.982 | 58.135 | -33.153 | 0.42972 |
| QJo, two-tone | 41.406 | 58.135 | -16.729 | 0.71224 |
| QJo, monotone | 43.372 | 58.135 | -14.763 | 0.74606 |
| QJo, paired | 35.591 | 58.135 | -22.544 | 0.61221 |
Does a shared suit matter?
Split by suits, the deals give KTo 59.58% when the hands overlap in a suit and 59.48% when they do not. The two rows differ by only 0.10 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | KTo wins | Ties | QJo wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 59.227 | 0.699 | 40.074 | 59.577 |
| No shared suit | 24 | 16.67 | 59.174 | 0.605 | 40.221 | 59.477 |
How often this matchup comes up
Exactly 144 specific deals fit this matchup in one seat order, which is 0.0089% of 1,624,350; both orders together give 288, or 0.0177%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KTo takes back $119.12 of it, which is $19.12 more than it put in, and QJo takes back $80.88, $19.12 less than it put in.
Think in thousands: about 592 of 1,000 go to KTo, about 401 go to QJo, and about 7 are chopped.
The same matchup from the other side
The reversed view, QJo against KTo, shows 40.44% for QJo and 59.56% for KTo. It is the same count, so it redirects here.
Keep exploring
KsTh against QdJc 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 144 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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