77
81.28%
Wins 80.58%, ties 1.41%
44
18.72%
Wins 18.01%, ties 1.41%
77 against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 80.579 | 1.406 | 18.015 | 81.282 |
| 44 | 18.015 | 1.406 | 80.579 | 18.718 |
Here pocket pairs face each other, 77 on one side and 44 on the other. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
This is one of the lopsided matchups: 44 wins only 18.01% of the boards outright. Ties are 1.41% of the outcomes here; each tied board gives both hands half the pot.
77 ranks number 9 of 169 starting hands, and 44 ranks number 48, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 49,671,000 | 867,000 | 11,105,000 |
| 44 | 11,105,000 | 867,000 | 49,671,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 77 | 4.342 | 1.241 | 5.551 | 0.230 |
| 44 | 0.230 | 5.551 | 1.241 | 4.342 |
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
Break the boards down by their first three cards and 77 is strongest on paired flops (85.26%) and weakest on low rainbow flops (nine high or lower) (73.63%). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 44 wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 82.130 | 0.864 | 17.006 | 82.562 |
| Rainbow, nine or lower | 5.065 | 73.313 | 0.642 | 26.045 | 73.634 |
| Two-tone | 46.363 | 80.091 | 0.811 | 19.098 | 80.497 |
| Monotone | 5.152 | 74.643 | 2.490 | 22.867 | 75.888 |
| Paired | 17.576 | 83.424 | 3.673 | 12.903 | 85.260 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts 77 from 66.24% by +15.04 points and 44 from 57.02% by -38.30 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.282 | 66.236 | +15.046 | 1.22716 |
| 77, rainbow, ten or higher | 82.562 | 66.236 | +16.326 | 1.24648 |
| 77, rainbow, nine or lower | 73.634 | 66.236 | +7.398 | 1.11169 |
| 77, two-tone | 80.497 | 66.236 | +14.261 | 1.21531 |
| 77, monotone | 75.888 | 66.236 | +9.652 | 1.14572 |
| 77, paired | 85.260 | 66.236 | +19.024 | 1.28722 |
| 44, all flops | 18.718 | 57.023 | -38.305 | 0.32825 |
| 44, rainbow, ten or higher | 17.438 | 57.023 | -39.585 | 0.30581 |
| 44, rainbow, nine or lower | 26.366 | 57.023 | -30.657 | 0.46237 |
| 44, two-tone | 19.503 | 57.023 | -37.520 | 0.34202 |
| 44, monotone | 24.112 | 57.023 | -32.911 | 0.42285 |
| 44, paired | 14.740 | 57.023 | -42.283 | 0.25849 |
Does a shared suit matter?
Two kinds of deal exist here. In 30 of them the hands share a suit and 77 holds 81.42%. In 6 they do not, and it holds 80.61%. 77 does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 44 wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.708 | 1.419 | 17.873 | 81.418 |
| No shared suit | 6 | 16.67 | 79.936 | 1.339 | 18.725 | 80.606 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $162.56 of it on average and 44 gets $37.44.
A thousand deals look like this: 77 takes 806, 44 takes 180, 14 are ties.
The same matchup from the other side
44 against 77 adds nothing new: it is 18.72% for 44 and 81.28% for 77, the same figures reversed.
Keep exploring
Open the calculator with 7s7h against 4d4c 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
Nothing here is simulated. The 36 deals of 77 against 44 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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