77
49.62%
Wins 49.38%, ties 0.49%
QJs
50.38%
Wins 50.13%, ties 0.49%
77 against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 49.379 | 0.491 | 50.130 | 49.624 |
| QJs | 50.130 | 0.491 | 49.379 | 50.376 |
77 is a pocket pair and QJs is a suited hand. 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.
That is a slim edge: neither hand is far ahead. Ties are 0.49% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, 77 is number 9 and QJs is number 28 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,292,000 | 202,000 | 20,601,000 |
| QJs | 20,601,000 | 202,000 | 20,292,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 77 | 0.985 | 2.025 | 1.995 | 1.015 |
| QJs | 1.015 | 1.995 | 2.025 | 0.985 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. QJs does best on rainbow flops topped by a ten or better, at 57.22%, and worst on low rainbow flops (nine high or lower), at 23.95%. QJs is the favorite overall but falls behind on low rainbow flops (nine high or lower) and paired flops.
| Flop | Share of flops | 77 wins | Ties | QJs wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 42.655 | 0.248 | 57.097 | 42.779 |
| Rainbow, nine or lower | 6.314 | 75.728 | 0.643 | 23.629 | 76.049 |
| Two-tone | 46.545 | 47.454 | 0.310 | 52.236 | 47.609 |
| Monotone | 5.212 | 48.301 | 2.436 | 49.263 | 49.519 |
| Paired | 17.334 | 54.814 | 0.682 | 44.504 | 55.155 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Relative to a random opponent, 77 changes by -16.62 points (baseline 66.24%) and QJs by -9.88 points (baseline 60.26%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 49.624 | 66.236 | -16.612 | 0.74920 |
| 77, rainbow, ten or higher | 42.779 | 66.236 | -23.457 | 0.64586 |
| 77, rainbow, nine or lower | 76.049 | 66.236 | +9.813 | 1.14815 |
| 77, two-tone | 47.609 | 66.236 | -18.627 | 0.71878 |
| 77, monotone | 49.519 | 66.236 | -16.717 | 0.74761 |
| 77, paired | 55.155 | 66.236 | -11.081 | 0.83270 |
| QJs, all flops | 50.376 | 60.259 | -9.883 | 0.83599 |
| QJs, rainbow, ten or higher | 57.221 | 60.259 | -3.038 | 0.94958 |
| QJs, rainbow, nine or lower | 23.951 | 60.259 | -36.308 | 0.39747 |
| QJs, two-tone | 52.391 | 60.259 | -7.868 | 0.86943 |
| QJs, monotone | 50.481 | 60.259 | -9.778 | 0.83773 |
| QJs, paired | 44.845 | 60.259 | -15.414 | 0.74420 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QJs holds 50.23%. In 12 they do not, and it holds 50.53%. QJs does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | QJs wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.508 | 0.534 | 49.958 | 49.775 |
| No shared suit | 12 | 50.00 | 49.249 | 0.448 | 50.303 | 49.473 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. QJs' equity of 50.38% is worth $100.76, a $0.76 edge, and 77's 49.62% is worth $99.24, which is $0.76 under its stake.
In 1,000 deals of exactly this matchup, expect about 501 won outright by QJs, about 494 won outright by 77 and about 5 split.
The same matchup from the other side
The reversed view, QJs against 77, shows 50.38% for QJs and 49.62% for 77. It is the same count, so it redirects here.
Keep exploring
7s7h against QdJd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 77 against QJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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