QTo
60.73%
Wins 60.30%, ties 0.87%
87s
39.27%
Wins 38.83%, ties 0.87%
QTo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.297 | 0.865 | 38.838 | 60.729 |
| 87s | 38.838 | 0.865 | 60.297 | 39.271 |
Here an offsuit hand (QTo) meets a suited hand (87s). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
QTo is ahead, but 87s is far from dead: it takes 388 of every 1,000 deals outright. Ties are 0.87% of the outcomes here; each tied board gives both hands half the pot.
For context, QTo sits at number 47 of 169 starting hands and 87s at number 100 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,558,000 | 711,000 | 31,921,000 |
| 87s | 31,921,000 | 711,000 | 49,558,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| QTo | 1.546 | 1.658 | 2.575 | 0.647 |
| 87s | 0.647 | 2.575 | 1.658 | 1.546 |
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
Across the five flop textures QTo's equity moves by 31.29 points, from 37.24% on low rainbow flops (nine high or lower) to 68.53% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) favor 87s, the hand that is behind overall.
| Flop | Share of flops | QTo wins | Ties | 87s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.281 | 0.488 | 31.231 | 68.525 |
| Rainbow, nine or lower | 6.313 | 37.051 | 0.383 | 62.566 | 37.243 |
| Two-tone | 46.667 | 59.107 | 0.439 | 40.454 | 59.327 |
| Monotone | 5.212 | 57.713 | 2.514 | 39.773 | 58.970 |
| Paired | 17.091 | 61.374 | 2.250 | 36.376 | 62.499 |
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
The table below sets each hand against its own random-hand baseline: a change of +3.44 points for QTo, from 57.29%, and -8.67 for 87s, from 47.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 60.729 | 57.291 | +3.438 | 1.06001 |
| QTo, rainbow, ten or higher | 68.525 | 57.291 | +11.234 | 1.19609 |
| QTo, rainbow, nine or lower | 37.243 | 57.291 | -20.048 | 0.65007 |
| QTo, two-tone | 59.327 | 57.291 | +2.036 | 1.03554 |
| QTo, monotone | 58.970 | 57.291 | +1.679 | 1.02931 |
| QTo, paired | 62.499 | 57.291 | +5.208 | 1.09090 |
| 87s, all flops | 39.271 | 47.936 | -8.665 | 0.81924 |
| 87s, rainbow, ten or higher | 31.475 | 47.936 | -16.461 | 0.65660 |
| 87s, rainbow, nine or lower | 62.757 | 47.936 | +14.821 | 1.30918 |
| 87s, two-tone | 40.673 | 47.936 | -7.263 | 0.84849 |
| 87s, monotone | 41.030 | 47.936 | -6.906 | 0.85593 |
| 87s, paired | 37.501 | 47.936 | -10.435 | 0.78231 |
Does a shared suit matter?
Does suit overlap move the numbers? QTo has 61.42% when the hands share a suit and 60.04% when they do not. QTo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 87s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.961 | 0.907 | 38.132 | 61.415 |
| No shared suit | 24 | 50.00 | 59.633 | 0.823 | 39.544 | 60.044 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QTo against 87s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QTo takes back $121.46 of it, which is $21.46 more than it put in, and 87s takes back $78.54, $21.46 less than it put in.
In 1,000 deals of exactly this matchup, expect about 603 won outright by QTo, about 388 won outright by 87s and about 9 split.
The same matchup from the other side
The reversed view, 87s against QTo, shows 39.27% for 87s and 60.73% for QTo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with QsTh against 8d7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 48 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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