77
65.77%
Wins 65.55%, ties 0.43%
A5s
34.23%
Wins 34.02%, ties 0.43%
77 against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 65.554 | 0.433 | 34.013 | 65.771 |
| A5s | 34.013 | 0.433 | 65.554 | 34.229 |
One side is a pocket pair, the other is a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
77 is well ahead, and A5s needs a specific kind of board to catch up. The tie share is 0.43%: on those boards the pot is chopped and neither hand wins outright.
For context, 77 sits at number 9 of 169 starting hands and A5s at number 30 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 26,940,000 | 178,000 | 13,978,000 |
| A5s | 13,978,000 | 178,000 | 26,940,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 1.921 | 1.525 | 2.940 | 0.520 |
| A5s | 0.520 | 2.940 | 1.525 | 1.921 |
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
Across the five flop textures 77's equity moves by 14.24 points, from 62.11% on monotone flops to 76.35% on low rainbow flops (nine high or lower). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | A5s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.492 | 0.241 | 34.267 | 65.612 |
| Rainbow, nine or lower | 5.689 | 76.047 | 0.615 | 23.338 | 76.354 |
| Two-tone | 46.545 | 64.308 | 0.288 | 35.404 | 64.452 |
| Monotone | 5.212 | 60.904 | 2.418 | 36.678 | 62.113 |
| Paired | 17.334 | 66.947 | 0.447 | 32.606 | 67.171 |
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
A random hand would give 77 66.24% and A5s 59.92%. Against each other the change is -0.47 points for 77 and -25.69 for A5s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 65.771 | 66.236 | -0.465 | 0.99298 |
| 77, rainbow, ten or higher | 65.612 | 66.236 | -0.624 | 0.99058 |
| 77, rainbow, nine or lower | 76.354 | 66.236 | +10.118 | 1.15276 |
| 77, two-tone | 64.452 | 66.236 | -1.784 | 0.97307 |
| 77, monotone | 62.113 | 66.236 | -4.123 | 0.93775 |
| 77, paired | 67.171 | 66.236 | +0.935 | 1.01412 |
| A5s, all flops | 34.229 | 59.923 | -25.694 | 0.57122 |
| A5s, rainbow, ten or higher | 34.388 | 59.923 | -25.535 | 0.57387 |
| A5s, rainbow, nine or lower | 23.646 | 59.923 | -36.277 | 0.39461 |
| A5s, two-tone | 35.548 | 59.923 | -24.375 | 0.59323 |
| A5s, monotone | 37.887 | 59.923 | -22.036 | 0.63226 |
| A5s, paired | 32.829 | 59.923 | -27.094 | 0.54785 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 66.04%; looking only at deals where they do not, 65.50%. 77 does better with a shared suit, by 0.54 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A5s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 65.802 | 0.477 | 33.721 | 66.041 |
| No shared suit | 12 | 50.00 | 65.307 | 0.389 | 34.304 | 65.501 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are 77 in one seat and A5s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 77 is worth $131.54 on average (+$31.54); A5s is worth $68.46 (-$31.54).
Per 1,000 deals: 77 wins about 656, A5s wins about 340, and about 4 end in a split pot.
The same matchup from the other side
The reversed view, A5s against 77, shows 34.23% for A5s and 65.77% for 77. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in 7s7h against Ad5d, 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
Nothing here is simulated. The 24 deals of 77 against A5s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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