88.74%
Wins 87.93%, ties 1.62%
QTo
11.26%
Wins 10.45%, ties 1.62%
QQ against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 87.933 | 1.621 | 10.446 | 88.744 | |
| QTo | 10.446 | 1.621 | 87.933 | 11.256 |
We compare a pocket pair with an offsuit hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
QQ is a big favorite here before anyone sees a flop. Of every 100 boards, about 1.62 are split pots, and the equity figures already include them.
QQ ranks number 3 of 169 starting hands, and QTo ranks number 47, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 54,204,000 | 999,000 | 6,439,000 | |
| QTo | 6,439,000 | 999,000 | 54,204,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 7.884 | 1.137 | 9.573 | 0.127 | |
| QTo | 0.127 | 9.573 | 1.137 | 7.884 |
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
Low rainbow flops (nine high or lower) are the best for QQ (94.37%); monotone flops are the worst (80.48%). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | QTo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 86.961 | 1.987 | 11.052 | 87.955 |
| Rainbow, nine or lower | 7.771 | 93.773 | 1.198 | 5.029 | 94.372 |
| Two-tone | 46.215 | 87.621 | 1.707 | 10.672 | 88.474 |
| Monotone | 5.130 | 79.386 | 2.183 | 18.431 | 80.478 |
| Paired | 17.831 | 89.916 | 0.946 | 9.138 | 90.389 |
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, QQ changes by +8.81 points (baseline 79.93%) and QTo by -46.03 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 88.744 | 79.925 | +8.819 | 1.11034 |
| QQ, rainbow, ten or higher | 87.955 | 79.925 | +8.030 | 1.10047 |
| QQ, rainbow, nine or lower | 94.372 | 79.925 | +14.447 | 1.18076 |
| QQ, two-tone | 88.474 | 79.925 | +8.549 | 1.10696 |
| QQ, monotone | 80.478 | 79.925 | +0.553 | 1.00692 |
| QQ, paired | 90.389 | 79.925 | +10.464 | 1.13092 |
| QTo, all flops | 11.256 | 57.291 | -46.035 | 0.19647 |
| QTo, rainbow, ten or higher | 12.045 | 57.291 | -45.246 | 0.21024 |
| QTo, rainbow, nine or lower | 5.628 | 57.291 | -51.663 | 0.09824 |
| QTo, two-tone | 11.526 | 57.291 | -45.765 | 0.20118 |
| QTo, monotone | 19.522 | 57.291 | -37.769 | 0.34075 |
| QTo, paired | 9.611 | 57.291 | -47.680 | 0.16776 |
Does a shared suit matter?
The suit split reads 89.02% for QQ with a shared suit and 88.19% without one. QQ does better with a shared suit, by 0.83 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | QTo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 88.193 | 1.654 | 10.153 | 89.020 |
| No shared suit | 12 | 33.33 | 87.414 | 1.554 | 11.032 | 88.191 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are QQ against QTo, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $177.48 (a gain of $77.48) and QTo's is $22.52 (a loss of $77.48).
A thousand deals look like this: QQ takes 879, QTo takes 105, 16 are ties.
The same matchup from the other side
The reversed view, QTo against QQ, shows 11.26% for QTo and 88.74% for QQ. It is the same count, so it redirects here.
Keep exploring
Try QsQh against QdTc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 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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