77
51.30%
Wins 51.05%, ties 0.51%
Q9s
48.70%
Wins 48.44%, ties 0.51%
77 against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 51.050 | 0.506 | 48.444 | 51.303 |
| Q9s | 48.444 | 0.506 | 51.050 | 48.697 |
One side is a pocket pair, the other is a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 2.60 points between them, the board decides this matchup far more than the cards in hand. About 0.51% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, 77 is number 9 and Q9s is number 43 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,979,000 | 208,000 | 19,908,000 |
| Q9s | 19,908,000 | 208,000 | 20,979,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 1.054 | 1.959 | 2.064 | 0.949 |
| Q9s | 0.949 | 2.064 | 1.959 | 1.054 |
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
Low rainbow flops (nine high or lower) are the best for 77 (61.90%); rainbow flops topped by a ten or better are the worst (49.18%). Q9s takes over on rainbow flops topped by a ten or better and two-tone flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | 77 wins | Ties | Q9s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.038 | 0.289 | 50.673 | 49.183 |
| Rainbow, nine or lower | 5.689 | 61.633 | 0.539 | 37.828 | 61.903 |
| Two-tone | 46.545 | 49.227 | 0.315 | 50.458 | 49.384 |
| Monotone | 5.212 | 49.513 | 2.440 | 48.047 | 50.733 |
| Paired | 17.334 | 55.861 | 0.745 | 43.394 | 56.233 |
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
Each hand has a baseline against a random hand: 66.24% for 77, 57.66% for Q9s. Here the change is -14.94 and -8.96 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 51.303 | 66.236 | -14.933 | 0.77455 |
| 77, rainbow, ten or higher | 49.183 | 66.236 | -17.053 | 0.74254 |
| 77, rainbow, nine or lower | 61.903 | 66.236 | -4.333 | 0.93458 |
| 77, two-tone | 49.384 | 66.236 | -16.852 | 0.74558 |
| 77, monotone | 50.733 | 66.236 | -15.503 | 0.76594 |
| 77, paired | 56.233 | 66.236 | -10.003 | 0.84898 |
| Q9s, all flops | 48.697 | 57.664 | -8.967 | 0.84450 |
| Q9s, rainbow, ten or higher | 50.817 | 57.664 | -6.847 | 0.88126 |
| Q9s, rainbow, nine or lower | 38.097 | 57.664 | -19.567 | 0.66067 |
| Q9s, two-tone | 50.616 | 57.664 | -7.048 | 0.87777 |
| Q9s, monotone | 49.267 | 57.664 | -8.397 | 0.85438 |
| Q9s, paired | 43.767 | 57.664 | -13.897 | 0.75900 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 51.46%; looking only at deals where they do not, 51.15%. 77 does better with a shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | Q9s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 51.185 | 0.548 | 48.267 | 51.459 |
| No shared suit | 12 | 50.00 | 50.915 | 0.465 | 48.620 | 51.148 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $102.60 for 77 and $97.40 for Q9s; the first side gains $2.60 per all-in and the second gives up $2.60.
A thousand deals look like this: 77 takes 511, Q9s takes 484, 5 are ties.
The same matchup from the other side
One page covers both views. From Q9s' side the equity is 48.70%, and from 77's side it is 51.30%.
Keep exploring
The calculator link fills in 7s7h against Qd9d, 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
We counted every case. Each suit pattern of the 24 specific 77 against Q9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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