KK
86.00%
Wins 85.80%, ties 0.40%
QTo
14.00%
Wins 13.80%, ties 0.40%
KK against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 85.802 | 0.396 | 13.802 | 86.000 |
| QTo | 13.802 | 0.396 | 85.802 | 14.000 |
KK is a pocket pair and QTo is an offsuit hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
This is one of the lopsided matchups: QTo wins only 13.80% of the boards outright. Ties are part of the picture: 0.40% of boards end in a split pot, and each side counts that as half a win.
For context, KK sits at number 2 of 169 starting hands and QTo at number 47 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 105,782,000 | 488,000 | 17,016,000 |
| QTo | 17,016,000 | 488,000 | 105,782,000 |
Exact total: 72 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) |
|---|---|---|---|---|
| KK | 6.143 | 1.165 | 7.245 | 0.163 |
| QTo | 0.163 | 7.245 | 1.165 | 6.143 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: KK holds 93.31% on low rainbow flops (nine high or lower) and 80.65% on monotone flops. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | QTo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 83.609 | 0.156 | 16.235 | 83.687 |
| Rainbow, nine or lower | 7.771 | 92.778 | 1.068 | 6.154 | 93.312 |
| Two-tone | 46.485 | 85.315 | 0.368 | 14.317 | 85.499 |
| Monotone | 5.151 | 79.779 | 1.738 | 18.483 | 80.648 |
| Paired | 17.333 | 88.716 | 0.092 | 11.192 | 88.762 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Relative to a random opponent, KK changes by +3.60 points (baseline 82.40%) and QTo by -43.29 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 86.000 | 82.396 | +3.604 | 1.04374 |
| KK, rainbow, ten or higher | 83.687 | 82.396 | +1.291 | 1.01567 |
| KK, rainbow, nine or lower | 93.312 | 82.396 | +10.916 | 1.13248 |
| KK, two-tone | 85.499 | 82.396 | +3.103 | 1.03766 |
| KK, monotone | 80.648 | 82.396 | -1.748 | 0.97879 |
| KK, paired | 88.762 | 82.396 | +6.366 | 1.07726 |
| QTo, all flops | 14.000 | 57.291 | -43.291 | 0.24437 |
| QTo, rainbow, ten or higher | 16.313 | 57.291 | -40.978 | 0.28474 |
| QTo, rainbow, nine or lower | 6.688 | 57.291 | -50.603 | 0.11674 |
| QTo, two-tone | 14.501 | 57.291 | -42.790 | 0.25311 |
| QTo, monotone | 19.352 | 57.291 | -37.939 | 0.33778 |
| QTo, paired | 11.238 | 57.291 | -46.053 | 0.19616 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (KK at 86.15%) and 12 do not (85.25%). KK does better with a shared suit, by 0.90 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | QTo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 85.944 | 0.412 | 13.644 | 86.150 |
| No shared suit | 12 | 16.67 | 85.095 | 0.316 | 14.589 | 85.253 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $172.00 from the $200, up $72.00; QTo averages $28.00, down $72.00.
Over a long run, 1,000 deals split into about 858 for KK, 138 for QTo and 4 tied.
The same matchup from the other side
Swap the hands and you get QTo with 14.00% against KK with 86.00%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsKh 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 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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