66
51.98%
Wins 51.72%, ties 0.52%
QTo
48.02%
Wins 47.76%, ties 0.52%
66 against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 51.720 | 0.518 | 47.762 | 51.979 |
| QTo | 47.762 | 0.518 | 51.720 | 48.021 |
66 and QTo are a pocket pair and an offsuit hand, in that order. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
With only 3.96 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
66 ranks number 17 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 |
|---|---|---|---|
| 66 | 63,763,000 | 639,000 | 58,884,000 |
| QTo | 58,884,000 | 639,000 | 63,763,000 |
The total is exact: 72 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) |
|---|---|---|---|---|
| 66 | 1.082 | 1.933 | 2.094 | 0.924 |
| QTo | 0.924 | 2.094 | 1.933 | 1.082 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures 66's equity moves by 33.95 points, from 44.35% on rainbow flops topped by a ten or better to 78.30% on low rainbow flops (nine high or lower). The overall edge for 66 hides rainbow flops topped by a ten or better and monotone flops, where QTo comes out in front.
| Flop | Share of flops | 66 wins | Ties | QTo wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 44.220 | 0.266 | 55.514 | 44.353 |
| Rainbow, nine or lower | 6.314 | 78.002 | 0.586 | 21.412 | 78.295 |
| Two-tone | 46.485 | 50.872 | 0.321 | 48.807 | 51.033 |
| Monotone | 5.151 | 48.341 | 1.782 | 49.877 | 49.232 |
| Paired | 17.333 | 56.121 | 1.008 | 42.871 | 56.625 |
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
How much does the opponent matter? Compared with its random-hand 63.29%, 66 changes by -11.31 points, and QTo, from 57.29%, by -9.27.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 51.979 | 63.285 | -11.306 | 0.82135 |
| 66, rainbow, ten or higher | 44.353 | 63.285 | -18.932 | 0.70085 |
| 66, rainbow, nine or lower | 78.295 | 63.285 | +15.010 | 1.23718 |
| 66, two-tone | 51.033 | 63.285 | -12.252 | 0.80640 |
| 66, monotone | 49.232 | 63.285 | -14.053 | 0.77794 |
| 66, paired | 56.625 | 63.285 | -6.660 | 0.89476 |
| QTo, all flops | 48.021 | 57.291 | -9.270 | 0.83819 |
| QTo, rainbow, ten or higher | 55.647 | 57.291 | -1.644 | 0.97130 |
| QTo, rainbow, nine or lower | 21.705 | 57.291 | -35.586 | 0.37886 |
| QTo, two-tone | 48.967 | 57.291 | -8.324 | 0.85471 |
| QTo, monotone | 50.768 | 57.291 | -6.523 | 0.88614 |
| QTo, paired | 43.375 | 57.291 | -13.916 | 0.75710 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (66 at 51.89%) and 12 do not (52.42%). 66 does better with no shared suit, by 0.53 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | QTo wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 51.624 | 0.534 | 47.842 | 51.891 |
| No shared suit | 12 | 16.67 | 52.203 | 0.441 | 47.356 | 52.424 |
How often this matchup comes up
66 against QTo is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
With $100 from each side, the $200 pot is split on average as $103.96 for 66 and $96.04 for QTo; the first side gains $3.96 per all-in and the second gives up $3.96.
Think in thousands: about 517 of 1,000 go to 66, about 478 go to QTo, and about 5 are chopped.
The same matchup from the other side
QTo against 66 adds nothing new: it is 48.02% for QTo and 51.98% for 66, the same figures reversed.
Keep exploring
Try 6s6h 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
Each figure is a complete count over boards. Take the 72 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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