AKo
58.43%
Wins 58.22%, ties 0.42%
76s
41.57%
Wins 41.36%, ties 0.42%
AKo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 58.219 | 0.421 | 41.360 | 58.429 |
| 76s | 41.360 | 0.421 | 58.219 | 41.571 |
AKo, an offsuit hand, plays 76s, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 16.86 point lead is real, and 76s still takes about 414 of every 1,000 deals outright. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts AKo at 12 and 76s at 115 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 47,851,000 | 346,000 | 33,994,000 |
| 76s | 33,994,000 | 346,000 | 47,851,000 |
48 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) |
|---|---|---|---|---|
| AKo | 1.406 | 1.718 | 2.418 | 0.711 |
| 76s | 0.711 | 2.418 | 1.718 | 1.406 |
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 AKo's equity moves by 34.98 points, from 31.50% on low rainbow flops (nine high or lower) to 66.48% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | AKo wins | Ties | 76s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.410 | 0.139 | 33.451 | 66.480 |
| Rainbow, nine or lower | 6.313 | 31.160 | 0.674 | 68.166 | 31.497 |
| Two-tone | 46.667 | 56.590 | 0.239 | 43.171 | 56.709 |
| Monotone | 5.212 | 55.867 | 2.370 | 41.763 | 57.052 |
| Paired | 17.091 | 61.532 | 0.641 | 37.827 | 61.853 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, AKo changes by -6.89 points (baseline 65.32%) and 76s by -3.80 points (baseline 45.37%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 58.429 | 65.320 | -6.891 | 0.89450 |
| AKo, rainbow, ten or higher | 66.480 | 65.320 | +1.160 | 1.01776 |
| AKo, rainbow, nine or lower | 31.497 | 65.320 | -33.823 | 0.48220 |
| AKo, two-tone | 56.709 | 65.320 | -8.611 | 0.86817 |
| AKo, monotone | 57.052 | 65.320 | -8.268 | 0.87342 |
| AKo, paired | 61.853 | 65.320 | -3.467 | 0.94692 |
| 76s, all flops | 41.571 | 45.372 | -3.801 | 0.91623 |
| 76s, rainbow, ten or higher | 33.520 | 45.372 | -11.852 | 0.73878 |
| 76s, rainbow, nine or lower | 68.503 | 45.372 | +23.131 | 1.50981 |
| 76s, two-tone | 43.291 | 45.372 | -2.081 | 0.95413 |
| 76s, monotone | 42.948 | 45.372 | -2.424 | 0.94657 |
| 76s, paired | 38.147 | 45.372 | -7.225 | 0.84076 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 59.11%; looking only at deals where they do not, 57.75%. AKo does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 76s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.882 | 0.462 | 40.656 | 59.113 |
| No shared suit | 24 | 50.00 | 57.555 | 0.381 | 42.064 | 57.746 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AKo against 76s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $116.86 from the $200, up $16.86; 76s averages $83.14, down $16.86.
Out of 1,000 deals you should see around 582 outright wins for AKo, 414 for 76s, and 4 split pots.
The same matchup from the other side
Swap the hands and you get 76s with 41.57% against AKo with 58.43%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsKh against 7d6d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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