KQo
73.80%
Wins 72.56%, ties 2.49%
QTo
26.20%
Wins 24.95%, ties 2.49%
KQo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 72.558 | 2.486 | 24.956 | 73.801 |
| QTo | 24.956 | 2.486 | 72.558 | 26.199 |
This is a contest between two offsuit hands, KQo and QTo. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 73.80% to 26.20%, but QTo still wins often enough that one hand proves nothing. Split pots make up 2.49% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, KQo is number 23 and QTo is number 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 134,181,000 | 4,597,000 | 46,151,000 |
| QTo | 46,151,000 | 4,597,000 | 134,181,000 |
Exact total: 108 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) |
|---|---|---|---|---|
| KQo | 2.817 | 1.378 | 4.007 | 0.355 |
| QTo | 0.355 | 4.007 | 1.378 | 2.817 |
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 KQo (83.27%); monotone flops are the worst (70.04%). KQo stays ahead on all five textures.
| Flop | Share of flops | KQo wins | Ties | QTo wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.158 | 2.348 | 28.494 | 70.332 |
| Rainbow, nine or lower | 7.771 | 82.734 | 1.068 | 16.198 | 83.268 |
| Two-tone | 46.477 | 72.208 | 1.976 | 25.816 | 73.196 |
| Monotone | 5.144 | 68.586 | 2.912 | 28.502 | 70.042 |
| Paired | 17.333 | 74.681 | 4.547 | 20.772 | 76.955 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, KQo holds 61.46% and QTo holds 57.29%. Facing each other changes that by +12.34 points for KQo and -31.09 points for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 73.801 | 61.456 | +12.345 | 1.20088 |
| KQo, rainbow, ten or higher | 70.332 | 61.456 | +8.876 | 1.14443 |
| KQo, rainbow, nine or lower | 83.268 | 61.456 | +21.812 | 1.35492 |
| KQo, two-tone | 73.196 | 61.456 | +11.740 | 1.19103 |
| KQo, monotone | 70.042 | 61.456 | +8.586 | 1.13971 |
| KQo, paired | 76.955 | 61.456 | +15.499 | 1.25220 |
| QTo, all flops | 26.199 | 57.291 | -31.092 | 0.45730 |
| QTo, rainbow, ten or higher | 29.668 | 57.291 | -27.623 | 0.51785 |
| QTo, rainbow, nine or lower | 16.732 | 57.291 | -40.559 | 0.29205 |
| QTo, two-tone | 26.804 | 57.291 | -30.487 | 0.46786 |
| QTo, monotone | 29.958 | 57.291 | -27.333 | 0.52291 |
| QTo, paired | 23.045 | 57.291 | -34.246 | 0.40224 |
Does a shared suit matter?
The suit split reads 73.97% for KQo with a shared suit and 73.21% without one. KQo does better with a shared suit, by 0.76 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | QTo wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 72.714 | 2.512 | 24.774 | 73.970 |
| No shared suit | 24 | 22.22 | 72.011 | 2.395 | 25.594 | 73.208 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are KQo in one seat and QTo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KQo's average share is $147.60 (a gain of $47.60) and QTo's is $52.40 (a loss of $47.60).
In 1,000 deals of exactly this matchup, expect about 726 won outright by KQo, about 249 won outright by QTo and about 25 split.
The same matchup from the other side
QTo against KQo adds nothing new: it is 26.20% for QTo and 73.80% for KQo, the same figures reversed.
Keep exploring
KsQh against QdTc 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 108 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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