77
53.89%
Wins 53.69%, ties 0.41%
KTo
46.11%
Wins 45.90%, ties 0.41%
77 against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 53.688 | 0.411 | 45.901 | 53.894 |
| KTo | 45.901 | 0.411 | 53.688 | 46.106 |
Here a pocket pair (77) meets an offsuit hand (KTo). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
77 leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. About 0.41% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts 77 at 9 and KTo at 33 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 66,190,000 | 507,000 | 56,589,000 |
| KTo | 56,589,000 | 507,000 | 66,190,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 77 | 1.169 | 1.863 | 2.179 | 0.855 |
| KTo | 0.855 | 2.179 | 1.863 | 1.169 |
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
77 prefers low rainbow flops (nine high or lower), where it holds 80.50%, and likes rainbow flops topped by a ten or better least, where it holds 46.25%. Rainbow flops topped by a ten or better favor KTo, the hand that is behind overall.
| Flop | Share of flops | 77 wins | Ties | KTo wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 46.135 | 0.234 | 53.631 | 46.252 |
| Rainbow, nine or lower | 6.314 | 80.222 | 0.564 | 19.214 | 80.504 |
| Two-tone | 46.485 | 52.781 | 0.290 | 46.929 | 52.926 |
| Monotone | 5.151 | 49.800 | 1.708 | 48.492 | 50.654 |
| Paired | 17.333 | 58.383 | 0.548 | 41.069 | 58.657 |
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, 77 changes by -12.35 points (baseline 66.24%) and KTo by -13.63 points (baseline 59.74%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 53.894 | 66.236 | -12.342 | 0.81367 |
| 77, rainbow, ten or higher | 46.252 | 66.236 | -19.984 | 0.69829 |
| 77, rainbow, nine or lower | 80.504 | 66.236 | +14.268 | 1.21541 |
| 77, two-tone | 52.926 | 66.236 | -13.310 | 0.79905 |
| 77, monotone | 50.654 | 66.236 | -15.582 | 0.76475 |
| 77, paired | 58.657 | 66.236 | -7.579 | 0.88558 |
| KTo, all flops | 46.106 | 59.739 | -13.633 | 0.77179 |
| KTo, rainbow, ten or higher | 53.748 | 59.739 | -5.991 | 0.89971 |
| KTo, rainbow, nine or lower | 19.496 | 59.739 | -40.243 | 0.32635 |
| KTo, two-tone | 47.074 | 59.739 | -12.665 | 0.78799 |
| KTo, monotone | 49.346 | 59.739 | -10.393 | 0.82603 |
| KTo, paired | 41.343 | 59.739 | -18.396 | 0.69206 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 77 holds 53.81%. In 12 they do not, and it holds 54.32%. 77 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | KTo wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 53.596 | 0.427 | 45.977 | 53.809 |
| No shared suit | 12 | 16.67 | 54.152 | 0.333 | 45.515 | 54.318 |
How often this matchup comes up
Counting specific cards, 77 against KTo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
Put $100 each into a $200 pot and deal every board once: 77 averages $107.78 back, ahead of its $100 by $7.78, while KTo averages $92.22, short of its $100 by $7.78.
A thousand deals look like this: 77 takes 537, KTo takes 459, 4 are ties.
The same matchup from the other side
One page covers both views. From KTo's side the equity is 46.11%, and from 77's side it is 53.89%.
Keep exploring
Open the calculator with 7s7h against KdTc 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
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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