AKo
59.69%
Wins 59.46%, ties 0.46%
75s
40.31%
Wins 40.08%, ties 0.46%
AKo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 59.459 | 0.463 | 40.078 | 59.690 |
| 75s | 40.078 | 0.463 | 59.459 | 40.310 |
One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AKo is ahead, but 75s is far from dead: it takes 401 of every 1,000 deals outright. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.
The hand ranking puts AKo at 12 and 75s at 124 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 48,870,000 | 381,000 | 32,940,000 |
| 75s | 32,940,000 | 381,000 | 48,870,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| AKo | 1.481 | 1.682 | 2.495 | 0.675 |
| 75s | 0.675 | 2.495 | 1.682 | 1.481 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, AKo peaks at 67.77% on rainbow flops topped by a ten or better and bottoms out at 33.34% on low rainbow flops (nine high or lower). 75s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | AKo wins | Ties | 75s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.681 | 0.179 | 32.140 | 67.770 |
| Rainbow, nine or lower | 6.313 | 32.953 | 0.781 | 66.266 | 33.343 |
| Two-tone | 46.667 | 57.857 | 0.287 | 41.856 | 58.000 |
| Monotone | 5.212 | 56.811 | 2.405 | 40.784 | 58.014 |
| Paired | 17.091 | 62.543 | 0.645 | 36.812 | 62.865 |
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
Against one random hand instead, AKo holds 65.32% and 75s holds 43.68%. Facing each other changes that by -5.63 points for AKo and -3.37 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 59.690 | 65.320 | -5.630 | 0.91381 |
| AKo, rainbow, ten or higher | 67.770 | 65.320 | +2.450 | 1.03751 |
| AKo, rainbow, nine or lower | 33.343 | 65.320 | -31.977 | 0.51046 |
| AKo, two-tone | 58.000 | 65.320 | -7.320 | 0.88794 |
| AKo, monotone | 58.014 | 65.320 | -7.306 | 0.88815 |
| AKo, paired | 62.865 | 65.320 | -2.455 | 0.96242 |
| 75s, all flops | 40.310 | 43.676 | -3.366 | 0.92293 |
| 75s, rainbow, ten or higher | 32.230 | 43.676 | -11.446 | 0.73793 |
| 75s, rainbow, nine or lower | 66.657 | 43.676 | +22.981 | 1.52617 |
| 75s, two-tone | 42.000 | 43.676 | -1.676 | 0.96163 |
| 75s, monotone | 41.986 | 43.676 | -1.690 | 0.96131 |
| 75s, paired | 37.135 | 43.676 | -6.541 | 0.85024 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AKo has 60.39% equity, and with none in common it has 58.99%. AKo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 75s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.140 | 0.504 | 39.356 | 60.392 |
| No shared suit | 24 | 50.00 | 58.778 | 0.422 | 40.800 | 58.989 |
How often this matchup comes up
AKo against 75s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Take a $200 pot built from $100 each. AKo's equity of 59.69% is worth $119.38, a $19.38 edge, and 75s' 40.31% is worth $80.62, which is $19.38 under its stake.
Think in thousands: about 594 of 1,000 go to AKo, about 401 go to 75s, and about 5 are chopped.
The same matchup from the other side
Swap the hands and you get 75s with 40.31% against AKo with 59.69%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsKh against 7d5d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 48 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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