77
50.86%
Wins 50.59%, ties 0.55%
J9s
49.14%
Wins 48.86%, ties 0.55%
77 against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 50.590 | 0.548 | 48.862 | 50.864 |
| J9s | 48.862 | 0.548 | 50.590 | 49.136 |
77 is a pocket pair and J9s is a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 77 a little ahead. Ties are part of the picture: 0.55% of boards end in a split pot, and each side counts that as half a win.
Place 9 of 169 belongs to 77 and place 55 belongs to J9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,790,000 | 225,000 | 20,080,000 |
| J9s | 20,080,000 | 225,000 | 20,790,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 77 | 1.035 | 1.977 | 2.047 | 0.966 |
| J9s | 0.966 | 2.047 | 1.977 | 1.035 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Across the five flop textures 77's equity moves by 12.39 points, from 48.65% on rainbow flops topped by a ten or better to 61.04% on low rainbow flops (nine high or lower). The overall edge for 77 hides rainbow flops topped by a ten or better and two-tone flops, where J9s comes out in front.
| Flop | Share of flops | 77 wins | Ties | J9s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.488 | 0.317 | 51.195 | 48.647 |
| Rainbow, nine or lower | 5.689 | 60.790 | 0.493 | 38.717 | 61.037 |
| Two-tone | 46.545 | 48.680 | 0.331 | 50.989 | 48.845 |
| Monotone | 5.212 | 49.065 | 2.455 | 48.480 | 50.293 |
| Paired | 17.334 | 55.887 | 0.914 | 43.199 | 56.344 |
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
Each hand has a baseline against a random hand: 66.24% for 77, 55.66% for J9s. Here the change is -15.38 and -6.52 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 50.864 | 66.236 | -15.372 | 0.76792 |
| 77, rainbow, ten or higher | 48.647 | 66.236 | -17.589 | 0.73445 |
| 77, rainbow, nine or lower | 61.037 | 66.236 | -5.199 | 0.92151 |
| 77, two-tone | 48.845 | 66.236 | -17.391 | 0.73744 |
| 77, monotone | 50.293 | 66.236 | -15.943 | 0.75930 |
| 77, paired | 56.344 | 66.236 | -9.892 | 0.85066 |
| J9s, all flops | 49.136 | 55.662 | -6.526 | 0.88276 |
| J9s, rainbow, ten or higher | 51.353 | 55.662 | -4.309 | 0.92259 |
| J9s, rainbow, nine or lower | 38.963 | 55.662 | -16.699 | 0.69999 |
| J9s, two-tone | 51.155 | 55.662 | -4.507 | 0.91903 |
| J9s, monotone | 49.707 | 55.662 | -5.955 | 0.89301 |
| J9s, paired | 43.656 | 55.662 | -12.006 | 0.78431 |
Does a shared suit matter?
Does suit overlap move the numbers? 77 has 51.00% when the hands share a suit and 50.73% when they do not. 77 does better with a shared suit, by 0.27 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | J9s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.702 | 0.590 | 48.708 | 50.997 |
| No shared suit | 12 | 50.00 | 50.478 | 0.507 | 49.015 | 50.731 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 77 is worth $101.72 on average (+$1.72); J9s is worth $98.28 (-$1.72).
Over a long run, 1,000 deals split into about 506 for 77, 489 for J9s and 5 tied.
The same matchup from the other side
The mirror image, J9s against 77, is 49.14% to 50.86%, and its address redirects to this page.
Keep exploring
Open the calculator with 7s7h against Jd9d 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
This is an exact count with no sampling. For the 24 ways to deal one 77 and one J9s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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