77
65.95%
Wins 65.73%, ties 0.44%
A4s
34.05%
Wins 33.83%, ties 0.44%
77 against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 65.730 | 0.439 | 33.831 | 65.949 |
| A4s | 33.831 | 0.439 | 65.730 | 34.051 |
The matchup pits a pocket pair against a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
77 is the clear favorite, though A4s gets there on roughly one board in 3. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.
Place 9 of 169 belongs to 77 and place 35 belongs to A4s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 27,012,000 | 180,000 | 13,903,000 |
| A4s | 13,903,000 | 180,000 | 27,012,000 |
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 | 1.937 | 1.521 | 2.956 | 0.516 |
| A4s | 0.516 | 2.956 | 1.521 | 1.937 |
The final column gives the least the pot must offer for each unit called for a call to break even 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) (77.16%) and weakest on monotone flops (62.29%). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | A4s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.597 | 0.241 | 34.162 | 65.718 |
| Rainbow, nine or lower | 5.689 | 76.829 | 0.659 | 22.512 | 77.158 |
| Two-tone | 46.545 | 64.518 | 0.294 | 35.188 | 64.665 |
| Monotone | 5.212 | 61.076 | 2.421 | 36.503 | 62.287 |
| Paired | 17.334 | 66.933 | 0.447 | 32.620 | 67.157 |
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
Against one random hand instead, 77 holds 66.24% and A4s holds 59.03%. Facing each other changes that by -0.29 points for 77 and -24.98 points for A4s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 65.949 | 66.236 | -0.287 | 0.99567 |
| 77, rainbow, ten or higher | 65.718 | 66.236 | -0.518 | 0.99218 |
| 77, rainbow, nine or lower | 77.158 | 66.236 | +10.922 | 1.16490 |
| 77, two-tone | 64.665 | 66.236 | -1.571 | 0.97628 |
| 77, monotone | 62.287 | 66.236 | -3.949 | 0.94038 |
| 77, paired | 67.157 | 66.236 | +0.921 | 1.01390 |
| A4s, all flops | 34.051 | 59.034 | -24.983 | 0.57680 |
| A4s, rainbow, ten or higher | 34.282 | 59.034 | -24.752 | 0.58072 |
| A4s, rainbow, nine or lower | 22.842 | 59.034 | -36.192 | 0.38693 |
| A4s, two-tone | 35.335 | 59.034 | -23.699 | 0.59855 |
| A4s, monotone | 37.713 | 59.034 | -21.321 | 0.63884 |
| A4s, paired | 32.843 | 59.034 | -26.191 | 0.55634 |
Does a shared suit matter?
Does suit overlap move the numbers? 77 has 66.23% when the hands share a suit and 65.67% when they do not. 77 does better with a shared suit, by 0.56 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A4s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 65.988 | 0.484 | 33.528 | 66.230 |
| No shared suit | 12 | 50.00 | 65.472 | 0.394 | 34.134 | 65.669 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $131.90 for 77 and $68.10 for A4s; the first side gains $31.90 per all-in and the second gives up $31.90.
Per 1,000 deals: 77 wins about 657, A4s wins about 338, and about 5 end in a split pot.
The same matchup from the other side
Swap the hands and you get A4s with 34.05% against 77 with 65.95%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
7s7h against Ad4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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