QJo
61.25%
Wins 60.82%, ties 0.86%
76s
38.75%
Wins 38.32%, ties 0.86%
QJo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.819 | 0.860 | 38.321 | 61.249 |
| 76s | 38.321 | 0.860 | 60.819 | 38.751 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
QJo is ahead, but 76s is far from dead: it takes 383 of every 1,000 deals outright. Ties are 0.86% of the outcomes here; each tied board gives both hands half the pot.
QJo ranks number 39 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,987,000 | 707,000 | 31,496,000 |
| 76s | 31,496,000 | 707,000 | 49,987,000 |
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) |
|---|---|---|---|---|
| QJo | 1.581 | 1.644 | 2.610 | 0.633 |
| 76s | 0.633 | 2.610 | 1.644 | 1.581 |
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
By flop texture, QJo's equity runs from 34.52% on low rainbow flops (nine high or lower) up to 70.08% on rainbow flops topped by a ten or better. The overall edge for QJo hides low rainbow flops (nine high or lower), where 76s comes out in front.
| Flop | Share of flops | QJo wins | Ties | 76s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.869 | 0.425 | 29.706 | 70.081 |
| Rainbow, nine or lower | 6.313 | 34.231 | 0.574 | 65.195 | 34.518 |
| Two-tone | 46.667 | 59.679 | 0.433 | 39.888 | 59.895 |
| Monotone | 5.212 | 58.063 | 2.520 | 39.417 | 59.323 |
| Paired | 17.091 | 61.509 | 2.254 | 36.237 | 62.636 |
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
Relative to a random opponent, QJo changes by +3.11 points (baseline 58.14%) and 76s by -6.62 points (baseline 45.37%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 61.249 | 58.135 | +3.114 | 1.05356 |
| QJo, rainbow, ten or higher | 70.081 | 58.135 | +11.946 | 1.20549 |
| QJo, rainbow, nine or lower | 34.518 | 58.135 | -23.617 | 0.59376 |
| QJo, two-tone | 59.895 | 58.135 | +1.760 | 1.03027 |
| QJo, monotone | 59.323 | 58.135 | +1.188 | 1.02044 |
| QJo, paired | 62.636 | 58.135 | +4.501 | 1.07742 |
| 76s, all flops | 38.751 | 45.372 | -6.621 | 0.85407 |
| 76s, rainbow, ten or higher | 29.919 | 45.372 | -15.453 | 0.65942 |
| 76s, rainbow, nine or lower | 65.482 | 45.372 | +20.110 | 1.44322 |
| 76s, two-tone | 40.105 | 45.372 | -5.267 | 0.88392 |
| 76s, monotone | 40.677 | 45.372 | -4.695 | 0.89652 |
| 76s, paired | 37.364 | 45.372 | -8.008 | 0.82350 |
Does a shared suit matter?
Does suit overlap move the numbers? QJo has 61.97% when the hands share a suit and 60.53% when they do not. QJo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 76s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.519 | 0.902 | 37.579 | 61.970 |
| No shared suit | 24 | 50.00 | 60.120 | 0.818 | 39.062 | 60.529 |
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. QJo averages $122.50 from the $200, up $22.50; 76s averages $77.50, down $22.50.
Think in thousands: about 608 of 1,000 go to QJo, about 383 go to 76s, and about 9 are chopped.
The same matchup from the other side
Read it from the other side: 76s against QJo is the same matchup with the numbers swapped, so 76s holds 38.75% and QJo holds 61.25%. That address sends you back to this page.
Keep exploring
Try QsJh against 7d6d 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
This is an exact count with no sampling. For the 48 ways to deal one QJo and one 76s 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.
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