77
65.58%
Wins 64.29%, ties 2.58%
A7s
34.42%
Wins 33.13%, ties 2.58%
77 against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 64.289 | 2.580 | 33.131 | 65.579 |
| A7s | 33.131 | 2.580 | 64.289 | 34.421 |
One side is a pocket pair, the other is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
77 is well ahead, and A7s needs a specific kind of board to catch up. 2.58% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, 77 is number 9 and A7s is number 24 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 13,210,000 | 530,000 | 6,808,000 |
| A7s | 6,808,000 | 530,000 | 13,210,000 |
12 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 | 1.905 | 1.555 | 3.018 | 0.525 |
| A7s | 0.525 | 3.018 | 1.555 | 1.905 |
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
Split by what the flop looks like, 77 peaks at 80.41% on low rainbow flops (nine high or lower) and bottoms out at 61.45% 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 | A7s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.197 | 63.234 | 2.020 | 34.746 | 64.244 |
| Rainbow, nine or lower | 5.585 | 76.692 | 7.441 | 15.867 | 80.412 |
| Two-tone | 46.236 | 62.364 | 2.690 | 34.946 | 63.709 |
| Monotone | 5.151 | 59.836 | 3.218 | 36.946 | 61.445 |
| Paired | 17.831 | 68.174 | 1.380 | 30.446 | 68.864 |
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 -0.66 points and A7s from 60.98% by -26.56 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 65.579 | 66.236 | -0.657 | 0.99008 |
| 77, rainbow, ten or higher | 64.244 | 66.236 | -1.992 | 0.96993 |
| 77, rainbow, nine or lower | 80.412 | 66.236 | +14.176 | 1.21402 |
| 77, two-tone | 63.709 | 66.236 | -2.527 | 0.96185 |
| 77, monotone | 61.445 | 66.236 | -4.791 | 0.92767 |
| 77, paired | 68.864 | 66.236 | +2.628 | 1.03968 |
| A7s, all flops | 34.421 | 60.984 | -26.563 | 0.56443 |
| A7s, rainbow, ten or higher | 35.756 | 60.984 | -25.228 | 0.58632 |
| A7s, rainbow, nine or lower | 19.588 | 60.984 | -41.396 | 0.32120 |
| A7s, two-tone | 36.291 | 60.984 | -24.693 | 0.59509 |
| A7s, monotone | 38.555 | 60.984 | -22.429 | 0.63222 |
| A7s, paired | 31.136 | 60.984 | -29.848 | 0.51056 |
Does a shared suit matter?
Every legal deal of 77 against A7s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A7s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 64.289 | 2.580 | 33.131 | 65.579 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 77 against A7s, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 77 averages $131.16 from the $200, up $31.16; A7s averages $68.84, down $31.16.
Out of 1,000 deals you should see around 643 outright wins for 77, 331 for A7s, and 26 split pots.
The same matchup from the other side
The mirror image, A7s against 77, is 34.42% to 65.58%, and its address redirects to this page.
Keep exploring
Open the calculator with 7s7h against Ad7d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 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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