77
53.64%
Wins 53.44%, ties 0.40%
A9s
46.36%
Wins 46.16%, ties 0.40%
77 against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 53.443 | 0.395 | 46.162 | 53.641 |
| A9s | 46.162 | 0.395 | 53.443 | 46.359 |
77 and A9s are a pocket pair and a suited hand, in that order. 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.
With only 7.28 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.40% of boards end in a split pot, and each side counts that as half a win.
77 ranks number 9 of 169 starting hands, and A9s ranks number 18, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 21,963,000 | 162,000 | 18,970,000 |
| A9s | 18,970,000 | 162,000 | 21,963,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 77 | 1.157 | 1.871 | 2.166 | 0.864 |
| A9s | 0.864 | 2.166 | 1.871 | 1.157 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and 77 is strongest on low rainbow flops (nine high or lower) (61.00%) and weakest on two-tone flops (51.88%). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | A9s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 52.658 | 0.217 | 47.125 | 52.766 |
| Rainbow, nine or lower | 5.689 | 60.736 | 0.522 | 38.742 | 60.997 |
| Two-tone | 46.545 | 51.756 | 0.255 | 47.989 | 51.884 |
| Monotone | 5.212 | 51.276 | 2.392 | 46.332 | 52.472 |
| Paired | 17.334 | 57.372 | 0.390 | 42.238 | 57.567 |
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 A9s 62.78%. Against each other the change is -12.60 points for 77 and -16.42 for A9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 53.641 | 66.236 | -12.595 | 0.80985 |
| 77, rainbow, ten or higher | 52.766 | 66.236 | -13.470 | 0.79664 |
| 77, rainbow, nine or lower | 60.997 | 66.236 | -5.239 | 0.92090 |
| 77, two-tone | 51.884 | 66.236 | -14.352 | 0.78332 |
| 77, monotone | 52.472 | 66.236 | -13.764 | 0.79220 |
| 77, paired | 57.567 | 66.236 | -8.669 | 0.86912 |
| A9s, all flops | 46.359 | 62.781 | -16.422 | 0.73842 |
| A9s, rainbow, ten or higher | 47.234 | 62.781 | -15.547 | 0.75236 |
| A9s, rainbow, nine or lower | 39.003 | 62.781 | -23.778 | 0.62125 |
| A9s, two-tone | 48.116 | 62.781 | -14.665 | 0.76641 |
| A9s, monotone | 47.528 | 62.781 | -15.253 | 0.75704 |
| A9s, paired | 42.433 | 62.781 | -20.348 | 0.67589 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 77 holds 53.82%. In 12 they do not, and it holds 53.46%. 77 does better with a shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A9s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.602 | 0.437 | 45.961 | 53.820 |
| No shared suit | 12 | 50.00 | 53.284 | 0.353 | 46.363 | 53.461 |
How often this matchup comes up
Counting specific cards, 77 against A9s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $107.28 of it on average and A9s gets $92.72.
Think in thousands: about 534 of 1,000 go to 77, about 462 go to A9s, and about 4 are chopped.
The same matchup from the other side
A9s versus 77 is this same page seen from the other hand: 46.36% for A9s, 53.64% for 77.
Keep exploring
The calculator link fills in 7s7h against Ad9d, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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