--- title: "77 vs QJo: preflop equity" url: "https://georgelipoker.com/equity/77-vs-qjo.md" canonical_url: "https://georgelipoker.com/equity/77-vs-qjo" last_updated: "2026-10-23" type: "reference" summary: "77 vs QJo is close to a coin flip before the flop: 52.08% to 47.93% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/77-vs-k9o.md", "https://georgelipoker.com/equity/77-vs-q9s.md", "https://georgelipoker.com/equity/aqs-vs-qjo.md"] --- # 77 vs QJo: preflop equity 77 vs QJo is close to a coin flip before the flop: 52.08% to 47.93% equity, counted exactly over every board, with the split by flop type and suit. Dealt all in against each other, 77 takes 52.08% of the pot on average and QJo takes the other 47.92%. ## 77 against QJo: the numbers **Exact preflop results for 77 against QJo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 77 | 51.839 | 0.471 | 47.690 | 52.075 | | QJo | 47.690 | 0.471 | 51.839 | 47.925 | Here a pocket pair (77) meets an offsuit hand (QJo). 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. This is close to even money, with 77 a little ahead. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot. Among the 169 starting hands, 77 is number 9 and QJo is number 39 by strength against a random hand. **Boards behind the percentages: 123,285,888 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 77 | 63,910,000 | 581,000 | 58,795,000 | | QJo | 58,795,000 | 581,000 | 63,910,000 | 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. **77 against QJo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | 77 | 1.087 | 1.929 | 2.097 | 0.920 | | QJo | 0.920 | 2.097 | 1.929 | 1.087 | The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call. ## Who is ahead on which flops Split by what the flop looks like, 77 peaks at 78.68% on low rainbow flops (nine high or lower) and bottoms out at 44.12% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better and monotone flops: on those flops QJo holds the better equity. **77 against QJo by flop texture, in percent** | Flop | Share of flops | 77 wins | Ties | QJo wins | 77 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 43.993 | 0.259 | 55.748 | 44.123 | | Rainbow, nine or lower | 6.314 | 78.346 | 0.675 | 20.979 | 78.684 | | Two-tone | 46.485 | 50.774 | 0.331 | 48.895 | 50.939 | | Monotone | 5.151 | 48.353 | 1.741 | 49.906 | 49.223 | | Paired | 17.333 | 57.265 | 0.698 | 42.037 | 57.614 | 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 A random hand would give 77 66.24% and QJo 58.14%. Against each other the change is -14.16 points for 77 and -10.22 for QJo. **77 and QJo 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 | | --- | --- | --- | --- | --- | | 77, all flops | 52.075 | 66.236 | -14.161 | 0.78620 | | 77, rainbow, ten or higher | 44.123 | 66.236 | -22.113 | 0.66615 | | 77, rainbow, nine or lower | 78.684 | 66.236 | +12.448 | 1.18793 | | 77, two-tone | 50.939 | 66.236 | -15.297 | 0.76905 | | 77, monotone | 49.223 | 66.236 | -17.013 | 0.74315 | | 77, paired | 57.614 | 66.236 | -8.622 | 0.86983 | | QJo, all flops | 47.925 | 58.135 | -10.210 | 0.82437 | | QJo, rainbow, ten or higher | 55.877 | 58.135 | -2.258 | 0.96116 | | QJo, rainbow, nine or lower | 21.316 | 58.135 | -36.819 | 0.36666 | | QJo, two-tone | 49.061 | 58.135 | -9.074 | 0.84392 | | QJo, monotone | 50.777 | 58.135 | -7.358 | 0.87343 | | QJo, paired | 42.386 | 58.135 | -15.749 | 0.72910 | ## Does a shared suit matter? Does suit overlap move the numbers? 77 has 51.99% when the hands share a suit and 52.52% when they do not. 77 does better with no shared suit, by 0.53 points. **77 against QJo by suit overlap, in percent** | Deals | Specific deals | Share of deals | 77 wins | Ties | QJo wins | 77 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 51.741 | 0.487 | 47.772 | 51.985 | | No shared suit | 12 | 16.67 | 52.327 | 0.392 | 47.281 | 52.523 | ## How often this matchup comes up Counting specific cards, 77 against QJo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%). ## A worked example Try it with money: two players each put in $100 and the whole board runs out every possible way. 77 averages $104.16 from the $200, up $4.16; QJo averages $95.84, down $4.16. Think in thousands: about 518 of 1,000 go to 77, about 477 go to QJo, and about 5 are chopped. ## The same matchup from the other side QJo against 77 adds nothing new: it is 47.92% for QJo and 52.08% for 77, the same figures reversed. ## Keep exploring Try 7s7h against QdJc 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. - [Open 7s7h against QdJc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=7s7h&p2=QdJc) - [77 combos](https://georgelipoker.com/combos/77.md) - [QJo combos](https://georgelipoker.com/combos/qjo.md) - [77 vs K9o](https://georgelipoker.com/equity/77-vs-k9o.md) - [77 vs Q9s](https://georgelipoker.com/equity/77-vs-q9s.md) - [AQs vs QJo](https://georgelipoker.com/equity/aqs-vs-qjo.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 72 ways to deal one 77 and one QJo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [77 vs K9o: preflop equity](https://georgelipoker.com/equity/77-vs-k9o.md) - [77 vs Q9s: preflop equity](https://georgelipoker.com/equity/77-vs-q9s.md) - [AQs vs QJo: preflop equity](https://georgelipoker.com/equity/aqs-vs-qjo.md)