77
80.58%
Wins 79.90%, ties 1.36%
43s
19.42%
Wins 18.74%, ties 1.36%
77 against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 79.897 | 1.359 | 18.744 | 80.577 |
| 43s | 18.744 | 1.359 | 79.897 | 19.423 |
Here a pocket pair (77) meets a suited hand (43s). A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
77 is a big favorite here before anyone sees a flop. About 1.36% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, 77 is number 9 and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 32,834,000 | 558,000 | 7,703,000 |
| 43s | 7,703,000 | 558,000 | 32,834,000 |
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 | 4.149 | 1.252 | 5.335 | 0.241 |
| 43s | 0.241 | 5.335 | 1.252 | 4.149 |
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 84.44% on rainbow flops topped by a ten or better and bottoms out at 73.62% on low rainbow flops (nine high or lower). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 43s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 84.024 | 0.837 | 15.139 | 84.443 |
| Rainbow, nine or lower | 5.065 | 73.275 | 0.690 | 26.035 | 73.620 |
| Two-tone | 46.545 | 78.645 | 0.762 | 20.593 | 79.026 |
| Monotone | 5.212 | 73.640 | 2.919 | 23.441 | 75.099 |
| Paired | 17.334 | 80.923 | 3.467 | 15.610 | 82.657 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, 77 holds 66.24% and 43s holds 38.64%. Facing each other changes that by +14.34 points for 77 and -19.22 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 80.577 | 66.236 | +14.341 | 1.21651 |
| 77, rainbow, ten or higher | 84.443 | 66.236 | +18.207 | 1.27488 |
| 77, rainbow, nine or lower | 73.620 | 66.236 | +7.384 | 1.11148 |
| 77, two-tone | 79.026 | 66.236 | +12.790 | 1.19310 |
| 77, monotone | 75.099 | 66.236 | +8.863 | 1.13381 |
| 77, paired | 82.657 | 66.236 | +16.421 | 1.24792 |
| 43s, all flops | 19.423 | 38.642 | -19.219 | 0.50264 |
| 43s, rainbow, ten or higher | 15.557 | 38.642 | -23.085 | 0.40259 |
| 43s, rainbow, nine or lower | 26.380 | 38.642 | -12.262 | 0.68268 |
| 43s, two-tone | 20.974 | 38.642 | -17.668 | 0.54278 |
| 43s, monotone | 24.901 | 38.642 | -13.741 | 0.64440 |
| 43s, paired | 17.343 | 38.642 | -21.299 | 0.44881 |
Does a shared suit matter?
When the hands share a suit, 77 holds 81.16%; when they do not, it holds 79.99%. 77 does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 43s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.465 | 1.397 | 18.138 | 81.163 |
| No shared suit | 12 | 50.00 | 79.330 | 1.321 | 19.349 | 79.990 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $161.16 for 77 and $38.84 for 43s; the first side gains $61.16 per all-in and the second gives up $61.16.
Think in thousands: about 799 of 1,000 go to 77, about 187 go to 43s, and about 14 are chopped.
The same matchup from the other side
One page covers both views. From 43s' side the equity is 19.42%, and from 77's side it is 80.58%.
Keep exploring
Open the calculator with 7s7h against 4d3d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 77 against 43s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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