77
81.29%
Wins 80.64%, ties 1.30%
65s
18.71%
Wins 18.06%, ties 1.30%
77 against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 80.636 | 1.301 | 18.063 | 81.287 |
| 65s | 18.063 | 1.301 | 80.636 | 18.713 |
We compare a pocket pair with a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
A gap this wide means 65s is in trouble before the flop and has few good runouts. Of every 100 boards, about 1.30 are split pots, and the equity figures already include them.
The hand ranking puts 77 at 9 and 65s at 128 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 33,138,000 | 535,000 | 7,423,000 |
| 65s | 7,423,000 | 535,000 | 33,138,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 4.344 | 1.240 | 5.536 | 0.230 |
| 65s | 0.230 | 5.536 | 1.240 | 4.344 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
77 prefers rainbow flops topped by a ten or better, where it holds 85.72%, and likes low rainbow flops (nine high or lower) least, where it holds 71.33%. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 65s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 85.318 | 0.803 | 13.879 | 85.719 |
| Rainbow, nine or lower | 5.065 | 71.109 | 0.443 | 28.448 | 71.331 |
| Two-tone | 46.545 | 79.319 | 0.700 | 19.981 | 79.669 |
| Monotone | 5.212 | 74.010 | 2.773 | 23.217 | 75.396 |
| Paired | 17.334 | 81.969 | 3.467 | 14.564 | 83.703 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by +15.05 points, and 65s, from 43.13%, by -24.42.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.287 | 66.236 | +15.051 | 1.22723 |
| 77, rainbow, ten or higher | 85.719 | 66.236 | +19.483 | 1.29415 |
| 77, rainbow, nine or lower | 71.331 | 66.236 | +5.095 | 1.07692 |
| 77, two-tone | 79.669 | 66.236 | +13.433 | 1.20281 |
| 77, monotone | 75.396 | 66.236 | +9.160 | 1.13829 |
| 77, paired | 83.703 | 66.236 | +17.467 | 1.26371 |
| 65s, all flops | 18.713 | 43.133 | -24.420 | 0.43384 |
| 65s, rainbow, ten or higher | 14.281 | 43.133 | -28.852 | 0.33109 |
| 65s, rainbow, nine or lower | 28.669 | 43.133 | -14.464 | 0.66467 |
| 65s, two-tone | 20.331 | 43.133 | -22.802 | 0.47136 |
| 65s, monotone | 24.604 | 43.133 | -18.529 | 0.57042 |
| 65s, paired | 16.297 | 43.133 | -26.836 | 0.37783 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 77 has 81.84% equity, and with none in common it has 80.73%. 77 does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 65s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 81.172 | 1.342 | 17.486 | 81.843 |
| No shared suit | 12 | 50.00 | 80.101 | 1.260 | 18.639 | 80.731 |
How often this matchup comes up
77 against 65s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $162.58 of it, which is $62.58 more than it put in, and 65s takes back $37.42, $62.58 less than it put in.
Run 1,000 deals and the tally comes out near 806 for 77, 181 for 65s and 13 ties.
The same matchup from the other side
The mirror image, 65s against 77, is 18.71% to 81.29%, and its address redirects to this page.
Keep exploring
Open the calculator with 7s7h against 6d5d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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