77
55.57%
Wins 55.36%, ties 0.42%
K9o
44.43%
Wins 44.22%, ties 0.42%
77 against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 55.359 | 0.424 | 44.217 | 55.571 |
| K9o | 44.217 | 0.424 | 55.359 | 44.429 |
We compare a pocket pair with an offsuit 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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.42% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 9 of 169 belongs to 77 and place 40 belongs to K9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 68,250,000 | 523,000 | 54,513,000 |
| K9o | 54,513,000 | 523,000 | 68,250,000 |
The board total is exact, 72 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 | 1.251 | 1.806 | 2.262 | 0.799 |
| K9o | 0.799 | 2.262 | 1.806 | 1.251 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 77 holds 64.48% on low rainbow flops (nine high or lower) and 51.96% on monotone flops. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | K9o wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 52.882 | 0.250 | 46.868 | 53.007 |
| Rainbow, nine or lower | 5.689 | 64.191 | 0.576 | 35.233 | 64.479 |
| Two-tone | 46.485 | 54.596 | 0.298 | 45.106 | 54.745 |
| Monotone | 5.151 | 51.104 | 1.716 | 47.180 | 51.962 |
| Paired | 17.334 | 59.396 | 0.581 | 40.023 | 59.686 |
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, 57.81% for K9o. Here the change is -10.67 and -13.38 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 55.571 | 66.236 | -10.665 | 0.83898 |
| 77, rainbow, ten or higher | 53.007 | 66.236 | -13.229 | 0.80027 |
| 77, rainbow, nine or lower | 64.479 | 66.236 | -1.757 | 0.97347 |
| 77, two-tone | 54.745 | 66.236 | -11.491 | 0.82651 |
| 77, monotone | 51.962 | 66.236 | -14.274 | 0.78450 |
| 77, paired | 59.686 | 66.236 | -6.550 | 0.90111 |
| K9o, all flops | 44.429 | 57.812 | -13.383 | 0.76851 |
| K9o, rainbow, ten or higher | 46.993 | 57.812 | -10.819 | 0.81286 |
| K9o, rainbow, nine or lower | 35.521 | 57.812 | -22.291 | 0.61442 |
| K9o, two-tone | 45.255 | 57.812 | -12.557 | 0.78280 |
| K9o, monotone | 48.038 | 57.812 | -9.774 | 0.83093 |
| K9o, paired | 40.314 | 57.812 | -17.498 | 0.69733 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 55.49%; looking only at deals where they do not, 55.97%. 77 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | K9o wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 55.271 | 0.440 | 44.289 | 55.491 |
| No shared suit | 12 | 16.67 | 55.801 | 0.346 | 43.853 | 55.974 |
How often this matchup comes up
Counting specific cards, 77 against K9o 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
Take a $200 pot built from $100 each. 77's equity of 55.57% is worth $111.14, a $11.14 edge, and K9o's 44.43% is worth $88.86, which is $11.14 under its stake.
Think in thousands: about 554 of 1,000 go to 77, about 442 go to K9o, and about 4 are chopped.
The same matchup from the other side
The mirror image, K9o against 77, is 44.43% to 55.57%, and its address redirects to this page.
Keep exploring
Open the calculator with 7s7h against Kd9c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 77 against K9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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