QTo
60.21%
Wins 59.79%, ties 0.85%
76s
39.79%
Wins 39.36%, ties 0.85%
QTo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 59.786 | 0.853 | 39.361 | 60.212 |
| 76s | 39.361 | 0.853 | 59.786 | 39.788 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.85% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, QTo is number 47 and 76s is number 115 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,138,000 | 701,000 | 32,351,000 |
| 76s | 32,351,000 | 701,000 | 49,138,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| QTo | 1.513 | 1.673 | 2.541 | 0.661 |
| 76s | 0.661 | 2.541 | 1.673 | 1.513 |
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
Split by what the flop looks like, QTo peaks at 68.63% on rainbow flops topped by a ten or better and bottoms out at 34.18% on low rainbow flops (nine high or lower). QTo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QTo wins | Ties | 76s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.410 | 0.447 | 31.143 | 68.634 |
| Rainbow, nine or lower | 6.313 | 33.956 | 0.439 | 65.605 | 34.176 |
| Two-tone | 46.667 | 58.589 | 0.424 | 40.987 | 58.801 |
| Monotone | 5.212 | 57.300 | 2.513 | 40.187 | 58.557 |
| Paired | 17.091 | 60.882 | 2.258 | 36.860 | 62.011 |
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, QTo holds 57.29% and 76s holds 45.37%. Facing each other changes that by +2.92 points for QTo and -5.58 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 60.212 | 57.291 | +2.921 | 1.05099 |
| QTo, rainbow, ten or higher | 68.634 | 57.291 | +11.343 | 1.19799 |
| QTo, rainbow, nine or lower | 34.176 | 57.291 | -23.115 | 0.59653 |
| QTo, two-tone | 58.801 | 57.291 | +1.510 | 1.02636 |
| QTo, monotone | 58.557 | 57.291 | +1.266 | 1.02210 |
| QTo, paired | 62.011 | 57.291 | +4.720 | 1.08239 |
| 76s, all flops | 39.788 | 45.372 | -5.584 | 0.87693 |
| 76s, rainbow, ten or higher | 31.366 | 45.372 | -14.006 | 0.69131 |
| 76s, rainbow, nine or lower | 65.824 | 45.372 | +20.452 | 1.45076 |
| 76s, two-tone | 41.199 | 45.372 | -4.173 | 0.90803 |
| 76s, monotone | 41.443 | 45.372 | -3.929 | 0.91340 |
| 76s, paired | 37.989 | 45.372 | -7.383 | 0.83728 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QTo has 60.91%; looking only at deals where they do not, 59.52%. QTo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 76s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.458 | 0.895 | 38.647 | 60.905 |
| No shared suit | 24 | 50.00 | 59.114 | 0.811 | 40.075 | 59.520 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTo averages $120.42 from the $200, up $20.42; 76s averages $79.58, down $20.42.
In 1,000 deals of exactly this matchup, expect about 598 won outright by QTo, about 394 won outright by 76s and about 8 split.
The same matchup from the other side
Swap the hands and you get 76s with 39.79% against QTo with 60.21%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
QsTh against 7d6d 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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