77
83.00%
Wins 80.98%, ties 4.04%
75s
17.00%
Wins 14.98%, ties 4.04%
77 against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 80.981 | 4.041 | 14.978 | 83.002 |
| 75s | 14.978 | 4.041 | 80.981 | 16.998 |
One side is a pocket pair, the other is a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
That is a heavy lead: 75s needs the board to help it on most runouts and still falls behind far more often than not. 4.04% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, 77 holds place 9 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 16,640,000 | 830,000 | 3,078,000 |
| 75s | 3,078,000 | 830,000 | 16,640,000 |
The board total is exact, 12 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 | 4.883 | 1.235 | 6.676 | 0.205 |
| 75s | 0.205 | 6.676 | 1.235 | 4.883 |
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
The flop changes the picture. 77 does best on rainbow flops topped by a ten or better, at 88.52%, and worst on monotone flops, at 74.55%. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 75s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 87.055 | 2.921 | 10.024 | 88.515 |
| Rainbow, nine or lower | 4.995 | 71.677 | 6.717 | 21.606 | 75.035 |
| Two-tone | 46.236 | 80.140 | 3.266 | 16.594 | 81.773 |
| Monotone | 5.152 | 72.637 | 3.818 | 23.545 | 74.546 |
| Paired | 17.831 | 79.396 | 6.985 | 13.619 | 82.888 |
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
How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by +16.76 points, and 75s, from 43.68%, by -26.68.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 83.002 | 66.236 | +16.766 | 1.25313 |
| 77, rainbow, ten or higher | 88.515 | 66.236 | +22.279 | 1.33636 |
| 77, rainbow, nine or lower | 75.035 | 66.236 | +8.799 | 1.13284 |
| 77, two-tone | 81.773 | 66.236 | +15.537 | 1.23457 |
| 77, monotone | 74.546 | 66.236 | +8.310 | 1.12546 |
| 77, paired | 82.888 | 66.236 | +16.652 | 1.25140 |
| 75s, all flops | 16.998 | 43.676 | -26.678 | 0.38918 |
| 75s, rainbow, ten or higher | 11.485 | 43.676 | -32.191 | 0.26296 |
| 75s, rainbow, nine or lower | 24.965 | 43.676 | -18.711 | 0.57160 |
| 75s, two-tone | 18.227 | 43.676 | -25.449 | 0.41732 |
| 75s, monotone | 25.454 | 43.676 | -18.222 | 0.58279 |
| 75s, paired | 17.112 | 43.676 | -26.564 | 0.39179 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 75s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 80.981 | 4.041 | 14.978 | 83.002 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 77 is worth $166.00 on average (+$66.00); 75s is worth $34.00 (-$66.00).
Per 1,000 deals: 77 wins about 810, 75s wins about 150, and about 40 end in a split pot.
The same matchup from the other side
The reversed view, 75s against 77, shows 17.00% for 75s and 83.00% for 77. It is the same count, so it redirects here.
Keep exploring
Open the calculator with 7s7h against 7d5d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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