KK
80.47%
Wins 80.30%, ties 0.35%
77
19.53%
Wins 19.35%, ties 0.35%
KK against 77: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 80.296 | 0.353 | 19.351 | 80.473 |
| 77 | 19.351 | 0.353 | 80.296 | 19.527 |
KK meets 77, and both are pocket pairs. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
That is a heavy lead: 77 needs the board to help it on most runouts and still falls behind far more often than not. About 0.35% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
KK ranks number 2 of 169 starting hands, and 77 ranks number 9, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 49,497,000 | 218,000 | 11,929,000 |
| 77 | 11,929,000 | 218,000 | 49,497,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| KK | 4.121 | 1.245 | 5.168 | 0.243 |
| 77 | 0.243 | 5.168 | 1.245 | 4.121 |
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
Break the boards down by their first three cards and KK is strongest on paired flops (86.37%) and weakest on low rainbow flops (nine high or lower) (66.43%). KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KK wins | Ties | 77 wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.165 | 0.214 | 16.621 | 83.272 |
| Rainbow, nine or lower | 6.314 | 66.044 | 0.764 | 33.192 | 66.426 |
| Two-tone | 46.363 | 79.126 | 0.314 | 20.560 | 79.283 |
| Monotone | 5.152 | 74.048 | 1.722 | 24.230 | 74.909 |
| Paired | 17.576 | 86.321 | 0.100 | 13.579 | 86.371 |
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
Relative to a random opponent, KK changes by -1.93 points (baseline 82.40%) and 77 by -46.71 points (baseline 66.24%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 80.473 | 82.396 | -1.923 | 0.97666 |
| KK, rainbow, ten or higher | 83.272 | 82.396 | +0.876 | 1.01063 |
| KK, rainbow, nine or lower | 66.426 | 82.396 | -15.970 | 0.80618 |
| KK, two-tone | 79.283 | 82.396 | -3.113 | 0.96222 |
| KK, monotone | 74.909 | 82.396 | -7.487 | 0.90913 |
| KK, paired | 86.371 | 82.396 | +3.975 | 1.04824 |
| 77, all flops | 19.527 | 66.236 | -46.709 | 0.29481 |
| 77, rainbow, ten or higher | 16.728 | 66.236 | -49.508 | 0.25255 |
| 77, rainbow, nine or lower | 33.574 | 66.236 | -32.662 | 0.50688 |
| 77, two-tone | 20.717 | 66.236 | -45.519 | 0.31278 |
| 77, monotone | 25.091 | 66.236 | -41.145 | 0.37881 |
| 77, paired | 13.629 | 66.236 | -52.607 | 0.20576 |
Does a shared suit matter?
Split by suits, the deals give KK 80.60% when the hands overlap in a suit and 79.81% when they do not. KK does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 77 wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.420 | 0.369 | 19.211 | 80.604 |
| No shared suit | 6 | 16.67 | 79.678 | 0.273 | 20.049 | 79.814 |
How often this matchup comes up
KK against 77 is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Take a $200 pot built from $100 each. KK's equity of 80.47% is worth $160.94, a $60.94 edge, and 77's 19.53% is worth $39.06, which is $60.94 under its stake.
A thousand deals look like this: KK takes 803, 77 takes 193, 4 are ties.
The same matchup from the other side
77 versus KK is this same page seen from the other hand: 19.53% for 77, 80.47% for KK.
Keep exploring
KsKh against 7d7c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 36 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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