77
51.00%
Wins 50.65%, ties 0.70%
98s
49.00%
Wins 48.65%, ties 0.70%
77 against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 50.648 | 0.699 | 48.653 | 50.997 |
| 98s | 48.653 | 0.699 | 50.648 | 49.003 |
77 and 98s are a pocket pair and a suited hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with 77 a little ahead. The tie share is 0.70%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, 77 is number 9 and 98s is number 83 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,814,000 | 287,000 | 19,994,000 |
| 98s | 19,994,000 | 287,000 | 20,814,000 |
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 | 1.041 | 1.974 | 2.055 | 0.961 |
| 98s | 0.961 | 2.055 | 1.974 | 1.041 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
77 prefers paired flops, where it holds 57.40%, and likes low rainbow flops (nine high or lower) least, where it holds 46.40%. The lead reverses on low rainbow flops (nine high or lower) and two-tone flops: there 98s is the favorite even though 77 is ahead overall.
| Flop | Share of flops | 77 wins | Ties | 98s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.545 | 0.443 | 48.012 | 51.766 |
| Rainbow, nine or lower | 5.065 | 46.226 | 0.345 | 53.429 | 46.398 |
| Two-tone | 46.545 | 48.589 | 0.404 | 51.007 | 48.791 |
| Monotone | 5.212 | 48.819 | 2.515 | 48.666 | 50.077 |
| Paired | 17.334 | 56.681 | 1.430 | 41.889 | 57.396 |
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
A random hand would give 77 66.24% and 98s 50.80%. Against each other the change is -15.24 points for 77 and -1.80 for 98s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 50.997 | 66.236 | -15.239 | 0.76993 |
| 77, rainbow, ten or higher | 51.766 | 66.236 | -14.470 | 0.78154 |
| 77, rainbow, nine or lower | 46.398 | 66.236 | -19.838 | 0.70050 |
| 77, two-tone | 48.791 | 66.236 | -17.445 | 0.73662 |
| 77, monotone | 50.077 | 66.236 | -16.159 | 0.75604 |
| 77, paired | 57.396 | 66.236 | -8.840 | 0.86654 |
| 98s, all flops | 49.003 | 50.801 | -1.798 | 0.96461 |
| 98s, rainbow, ten or higher | 48.234 | 50.801 | -2.567 | 0.94947 |
| 98s, rainbow, nine or lower | 53.602 | 50.801 | +2.801 | 1.05514 |
| 98s, two-tone | 51.209 | 50.801 | +0.408 | 1.00803 |
| 98s, monotone | 49.923 | 50.801 | -0.878 | 0.98272 |
| 98s, paired | 42.604 | 50.801 | -8.197 | 0.83864 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 51.09%; looking only at deals where they do not, 50.90%. The two rows differ by only 0.19 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 98s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.721 | 0.739 | 48.540 | 51.091 |
| No shared suit | 12 | 50.00 | 50.574 | 0.660 | 48.766 | 50.904 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 77 against 98s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $102.00 for 77 and $98.00 for 98s; the first side gains $2.00 per all-in and the second gives up $2.00.
Scaled to 1,000 deals, that is roughly 506 wins for 77, 487 for 98s and 7 chopped pots.
The same matchup from the other side
One page covers both views. From 98s' side the equity is 49.00%, and from 77's side it is 51.00%.
Keep exploring
Open the calculator with 7s7h against 9d8d 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
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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