QJs
63.74%
Wins 63.29%, ties 0.89%
76s
36.26%
Wins 35.82%, ties 0.89%
QJs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 63.293 | 0.886 | 35.821 | 63.736 |
| 76s | 35.821 | 0.886 | 63.293 | 36.264 |
This is a contest between two suited hands, QJs and 76s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
QJs is ahead, but 76s is far from dead: it takes 358 of every 1,000 deals outright. Ties are part of the picture: 0.89% of boards end in a split pot, and each side counts that as half a win.
QJs ranks number 28 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 |
|---|---|---|---|
| QJs | 17,340,000 | 243,000 | 9,814,000 |
| 76s | 9,814,000 | 243,000 | 17,340,000 |
The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJs | 1.758 | 1.580 | 2.792 | 0.569 |
| 76s | 0.569 | 2.792 | 1.580 | 1.758 |
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, QJs peaks at 71.35% on rainbow flops topped by a ten or better and bottoms out at 37.00% on low rainbow flops (nine high or lower). QJs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QJs wins | Ties | 76s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 71.140 | 0.413 | 28.447 | 71.346 |
| Rainbow, nine or lower | 6.314 | 36.725 | 0.547 | 62.728 | 36.998 |
| Two-tone | 46.727 | 63.054 | 0.411 | 36.535 | 63.259 |
| Monotone | 5.273 | 59.104 | 3.528 | 37.368 | 60.868 |
| Paired | 17.091 | 63.759 | 2.178 | 34.063 | 64.848 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 60.26%, QJs changes by +3.48 points, and 76s, from 45.37%, by -9.11.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 63.736 | 60.259 | +3.477 | 1.05770 |
| QJs, rainbow, ten or higher | 71.346 | 60.259 | +11.087 | 1.18399 |
| QJs, rainbow, nine or lower | 36.998 | 60.259 | -23.261 | 0.61398 |
| QJs, two-tone | 63.259 | 60.259 | +3.000 | 1.04979 |
| QJs, monotone | 60.868 | 60.259 | +0.609 | 1.01011 |
| QJs, paired | 64.848 | 60.259 | +4.589 | 1.07615 |
| 76s, all flops | 36.264 | 45.372 | -9.108 | 0.79926 |
| 76s, rainbow, ten or higher | 28.654 | 45.372 | -16.718 | 0.63153 |
| 76s, rainbow, nine or lower | 63.002 | 45.372 | +17.630 | 1.38857 |
| 76s, two-tone | 36.741 | 45.372 | -8.631 | 0.80977 |
| 76s, monotone | 39.132 | 45.372 | -6.240 | 0.86247 |
| 76s, paired | 35.152 | 45.372 | -10.220 | 0.77475 |
Does a shared suit matter?
When the hands share a suit, QJs holds 66.13%; when they do not, it holds 62.94%. QJs does better with a shared suit, by 3.19 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | 76s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.636 | 0.985 | 33.379 | 66.128 |
| No shared suit | 12 | 75.00 | 62.512 | 0.853 | 36.635 | 62.938 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QJs is worth $127.48 on average (+$27.48); 76s is worth $72.52 (-$27.48).
Think in thousands: about 633 of 1,000 go to QJs, about 358 go to 76s, and about 9 are chopped.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 36.26%, and from QJs' side it is 63.74%.
Keep exploring
The calculator link fills in QsJs against 7h6h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 16 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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