77
66.70%
Wins 66.48%, ties 0.45%
A2s
33.30%
Wins 33.07%, ties 0.45%
77 against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 66.475 | 0.450 | 33.075 | 66.700 |
| A2s | 33.075 | 0.450 | 66.475 | 33.300 |
One side is a pocket pair, the other is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
That is a clear edge, 66.70% to 33.30%, but A2s still wins often enough that one hand proves nothing. Split pots make up 0.45% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, 77 is number 9 and A2s is number 46 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 27,318,000 | 185,000 | 13,592,000 |
| A2s | 13,592,000 | 185,000 | 27,318,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| 77 | 2.003 | 1.504 | 3.023 | 0.499 |
| A2s | 0.499 | 3.023 | 1.504 | 2.003 |
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
If you know the kind of flop that came, the numbers shift: 77 holds 80.29% on low rainbow flops (nine high or lower) and 62.92% on monotone flops. 77 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | 77 wins | Ties | A2s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.063 | 0.241 | 33.696 | 66.184 |
| Rainbow, nine or lower | 5.689 | 79.920 | 0.746 | 19.334 | 80.293 |
| Two-tone | 46.545 | 65.375 | 0.306 | 34.319 | 65.528 |
| Monotone | 5.212 | 61.711 | 2.427 | 35.862 | 62.924 |
| Paired | 17.334 | 67.046 | 0.447 | 32.507 | 67.270 |
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
Start from the random-hand figures, 66.24% for 77 and 57.38% for A2s. This opponent changes them by +0.46 and -24.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 66.700 | 66.236 | +0.464 | 1.00701 |
| 77, rainbow, ten or higher | 66.184 | 66.236 | -0.052 | 0.99921 |
| 77, rainbow, nine or lower | 80.293 | 66.236 | +14.057 | 1.21223 |
| 77, two-tone | 65.528 | 66.236 | -0.708 | 0.98931 |
| 77, monotone | 62.924 | 66.236 | -3.312 | 0.95000 |
| 77, paired | 67.270 | 66.236 | +1.034 | 1.01561 |
| A2s, all flops | 33.300 | 57.379 | -24.079 | 0.58035 |
| A2s, rainbow, ten or higher | 33.816 | 57.379 | -23.563 | 0.58934 |
| A2s, rainbow, nine or lower | 19.707 | 57.379 | -37.672 | 0.34345 |
| A2s, two-tone | 34.472 | 57.379 | -22.907 | 0.60078 |
| A2s, monotone | 37.076 | 57.379 | -20.303 | 0.64616 |
| A2s, paired | 32.730 | 57.379 | -24.649 | 0.57042 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 77 has 67.01% equity, and with none in common it has 66.39%. 77 does better with a shared suit, by 0.62 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A2s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.757 | 0.496 | 32.747 | 67.005 |
| No shared suit | 12 | 50.00 | 66.192 | 0.404 | 33.404 | 66.394 |
How often this matchup comes up
77 against A2s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $133.40 of it on average and A2s gets $66.60.
Scaled to 1,000 deals, that is roughly 665 wins for 77, 331 for A2s and 4 chopped pots.
The same matchup from the other side
Swap the hands and you get A2s with 33.30% against 77 with 66.70%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in 7s7h against Ad2d, 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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