AKo
58.47%
Wins 58.23%, ties 0.48%
65s
41.53%
Wins 41.29%, ties 0.48%
AKo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 58.230 | 0.476 | 41.294 | 58.468 |
| 65s | 41.294 | 0.476 | 58.230 | 41.532 |
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.
A 16.94 point lead is real, and 65s still takes about 413 of every 1,000 deals outright. Split pots make up 0.48% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, AKo is number 12 and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 47,860,000 | 391,000 | 33,940,000 |
| 65s | 33,940,000 | 391,000 | 47,860,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| AKo | 1.408 | 1.717 | 2.422 | 0.710 |
| 65s | 0.710 | 2.422 | 1.717 | 1.408 |
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
Across the five flop textures AKo's equity moves by 37.56 points, from 29.44% on low rainbow flops (nine high or lower) to 67.00% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.
| Flop | Share of flops | AKo wins | Ties | 65s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.916 | 0.167 | 32.917 | 66.999 |
| Rainbow, nine or lower | 6.313 | 28.993 | 0.903 | 70.104 | 29.444 |
| Two-tone | 46.667 | 56.559 | 0.300 | 43.141 | 56.709 |
| Monotone | 5.212 | 55.856 | 2.429 | 41.715 | 57.071 |
| Paired | 17.091 | 61.754 | 0.649 | 37.597 | 62.078 |
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: 65.32% for AKo, 43.13% for 65s. Here the change is -6.85 and -1.60 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 58.468 | 65.320 | -6.852 | 0.89510 |
| AKo, rainbow, ten or higher | 66.999 | 65.320 | +1.679 | 1.02570 |
| AKo, rainbow, nine or lower | 29.444 | 65.320 | -35.876 | 0.45077 |
| AKo, two-tone | 56.709 | 65.320 | -8.611 | 0.86817 |
| AKo, monotone | 57.071 | 65.320 | -8.249 | 0.87371 |
| AKo, paired | 62.078 | 65.320 | -3.242 | 0.95037 |
| 65s, all flops | 41.532 | 43.133 | -1.601 | 0.96288 |
| 65s, rainbow, ten or higher | 33.001 | 43.133 | -10.132 | 0.76510 |
| 65s, rainbow, nine or lower | 70.556 | 43.133 | +27.423 | 1.63578 |
| 65s, two-tone | 43.291 | 43.133 | +0.158 | 1.00366 |
| 65s, monotone | 42.929 | 43.133 | -0.204 | 0.99527 |
| 65s, paired | 37.922 | 43.133 | -5.211 | 0.87919 |
Does a shared suit matter?
The suit split reads 59.15% for AKo with a shared suit and 57.78% without one. AKo does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 65s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.893 | 0.516 | 40.591 | 59.151 |
| No shared suit | 24 | 50.00 | 57.566 | 0.436 | 41.998 | 57.784 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $116.94 from the $200, up $16.94; 65s averages $83.06, down $16.94.
In 1,000 deals of exactly this matchup, expect about 582 won outright by AKo, about 413 won outright by 65s and about 5 split.
The same matchup from the other side
65s versus AKo is this same page seen from the other hand: 41.53% for 65s, 58.47% for AKo.
Keep exploring
AsKh against 6d5d 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
This is an exact count with no sampling. For the 48 ways to deal one AKo and one 65s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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