--- title: "QTo vs 87s: preflop equity" url: "https://georgelipoker.com/equity/qto-vs-87s.md" canonical_url: "https://georgelipoker.com/equity/qto-vs-87s" last_updated: "2026-10-23" type: "reference" summary: "QTo is a big favorite over 87s before the flop: 60.73% to 39.27% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qto-vs-86s.md", "https://georgelipoker.com/equity/qto-vs-76s.md", "https://georgelipoker.com/equity/44-vs-87s.md"] --- # QTo vs 87s: preflop equity QTo is a big favorite over 87s before the flop: 60.73% to 39.27% equity, counted exactly over every board, with the split by flop type and suit. In equity, QTo against 87s stands at 60.73% to 39.27%, a gap of 21.46 points. ## QTo against 87s: the numbers **Exact preflop results for QTo against 87s, in percent** | 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. **Boards behind the percentages: 82,190,592 counted in all** | 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. **QTo against 87s read as odds** | 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. **QTo against 87s by flop texture, in percent** | 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%. **QTo and 87s here compared with each against a random hand, in percent** | 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. **QTo against 87s by suit overlap, in percent** | 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. - [Open QsTh against 8d7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsTh&p2=8d7d) - [QTo combos](https://georgelipoker.com/combos/qto.md) - [87s combos](https://georgelipoker.com/combos/87s.md) - [QTo vs 86s](https://georgelipoker.com/equity/qto-vs-86s.md) - [QTo vs 76s](https://georgelipoker.com/equity/qto-vs-76s.md) - [44 vs 87s](https://georgelipoker.com/equity/44-vs-87s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## 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. ## Related - [QTo vs 86s: preflop equity](https://georgelipoker.com/equity/qto-vs-86s.md) - [QTo vs 76s: preflop equity](https://georgelipoker.com/equity/qto-vs-76s.md) - [44 vs 87s: preflop equity](https://georgelipoker.com/equity/44-vs-87s.md)