77
52.09%
Wins 51.89%, ties 0.39%
ATs
47.91%
Wins 47.72%, ties 0.39%
77 against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 51.893 | 0.391 | 47.716 | 52.089 |
| ATs | 47.716 | 0.391 | 51.893 | 47.911 |
We compare a pocket pair with 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.
That is a slim edge: neither hand is far ahead. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
The hand ranking puts 77 at 9 and ATs at 13 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 21,326,000 | 161,000 | 19,609,000 |
| ATs | 19,609,000 | 161,000 | 21,326,000 |
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 | 1.087 | 1.927 | 2.096 | 0.920 |
| ATs | 0.920 | 2.096 | 1.927 | 1.087 |
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
The flop changes the picture. 77 does best on low rainbow flops (nine high or lower), at 76.75%, and worst on rainbow flops topped by a ten or better, at 46.23%. The lead reverses on rainbow flops topped by a ten or better: there ATs is the favorite even though 77 is ahead overall.
| Flop | Share of flops | 77 wins | Ties | ATs wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 46.126 | 0.205 | 53.669 | 46.229 |
| Rainbow, nine or lower | 6.314 | 76.490 | 0.512 | 22.998 | 76.746 |
| Two-tone | 46.545 | 50.111 | 0.251 | 49.638 | 50.237 |
| Monotone | 5.212 | 50.150 | 2.391 | 47.459 | 51.346 |
| Paired | 17.334 | 56.426 | 0.386 | 43.188 | 56.619 |
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
Compared with a random opponent, this matchup shifts 77 from 66.24% by -14.15 points and ATs from 64.60% by -16.69 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 52.089 | 66.236 | -14.147 | 0.78642 |
| 77, rainbow, ten or higher | 46.229 | 66.236 | -20.007 | 0.69794 |
| 77, rainbow, nine or lower | 76.746 | 66.236 | +10.510 | 1.15868 |
| 77, two-tone | 50.237 | 66.236 | -15.999 | 0.75845 |
| 77, monotone | 51.346 | 66.236 | -14.890 | 0.77520 |
| 77, paired | 56.619 | 66.236 | -9.617 | 0.85481 |
| ATs, all flops | 47.911 | 64.602 | -16.691 | 0.74163 |
| ATs, rainbow, ten or higher | 53.771 | 64.602 | -10.831 | 0.83234 |
| ATs, rainbow, nine or lower | 23.254 | 64.602 | -41.348 | 0.35996 |
| ATs, two-tone | 49.763 | 64.602 | -14.839 | 0.77030 |
| ATs, monotone | 48.654 | 64.602 | -15.948 | 0.75313 |
| ATs, paired | 43.381 | 64.602 | -21.221 | 0.67151 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 52.26%; looking only at deals where they do not, 51.92%. 77 does better with a shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | ATs wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.040 | 0.434 | 47.526 | 52.257 |
| No shared suit | 12 | 50.00 | 51.746 | 0.348 | 47.906 | 51.920 |
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
Put $100 each into a $200 pot and deal every board once: 77 averages $104.18 back, ahead of its $100 by $4.18, while ATs averages $95.82, short of its $100 by $4.18.
A thousand deals look like this: 77 takes 519, ATs takes 477, 4 are ties.
The same matchup from the other side
The reversed view, ATs against 77, shows 47.91% for ATs and 52.09% for 77. It is the same count, so it redirects here.
Keep exploring
Open the calculator with 7s7h against AdTd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
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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