AKo
45.97%
Wins 45.72%, ties 0.50%
44
54.03%
Wins 53.78%, ties 0.50%
AKo against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 45.717 | 0.504 | 53.779 | 45.969 |
| 44 | 53.779 | 0.504 | 45.717 | 54.031 |
Here an offsuit hand (AKo) meets a pocket pair (44). 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.
This is close to even money, with 44 a little ahead. Ties are part of the picture: 0.50% of boards end in a split pot, and each side counts that as half a win.
AKo ranks number 12 of 169 starting hands, and 44 ranks number 48, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 56,363,000 | 621,000 | 66,302,000 |
| 44 | 66,302,000 | 621,000 | 56,363,000 |
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) |
|---|---|---|---|---|
| AKo | 0.851 | 2.187 | 1.859 | 1.175 |
| 44 | 1.175 | 1.859 | 2.187 | 0.851 |
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
By flop texture, 44's equity runs from 47.54% on rainbow flops topped by a ten or better up to 80.35% on low rainbow flops (nine high or lower). Watch for rainbow flops topped by a ten or better: on those flops AKo holds the better equity.
| Flop | Share of flops | AKo wins | Ties | 44 wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 52.358 | 0.208 | 47.434 | 52.462 |
| Rainbow, nine or lower | 6.314 | 19.088 | 1.119 | 79.793 | 19.647 |
| Two-tone | 46.485 | 45.948 | 0.377 | 53.675 | 46.137 |
| Monotone | 5.151 | 47.942 | 2.022 | 50.036 | 48.953 |
| Paired | 17.333 | 44.664 | 0.592 | 54.744 | 44.960 |
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
The table below sets each hand against its own random-hand baseline: a change of -19.35 points for AKo, from 65.32%, and -2.99 for 44, from 57.02%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 45.969 | 65.320 | -19.351 | 0.70375 |
| AKo, rainbow, ten or higher | 52.462 | 65.320 | -12.858 | 0.80315 |
| AKo, rainbow, nine or lower | 19.647 | 65.320 | -45.673 | 0.30078 |
| AKo, two-tone | 46.137 | 65.320 | -19.183 | 0.70632 |
| AKo, monotone | 48.953 | 65.320 | -16.367 | 0.74943 |
| AKo, paired | 44.960 | 65.320 | -20.360 | 0.68830 |
| 44, all flops | 54.031 | 57.023 | -2.992 | 0.94753 |
| 44, rainbow, ten or higher | 47.538 | 57.023 | -9.485 | 0.83366 |
| 44, rainbow, nine or lower | 80.353 | 57.023 | +23.330 | 1.40913 |
| 44, two-tone | 53.863 | 57.023 | -3.160 | 0.94458 |
| 44, monotone | 51.047 | 57.023 | -5.976 | 0.89520 |
| 44, paired | 55.040 | 57.023 | -1.983 | 0.96522 |
Does a shared suit matter?
Split by suits, the deals give 44 53.95% when the hands overlap in a suit and 54.43% when they do not. 44 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 44 wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 45.790 | 0.517 | 53.693 | 46.048 |
| No shared suit | 12 | 16.67 | 45.352 | 0.437 | 54.211 | 45.570 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are AKo in one seat and 44 in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 44 averages $108.06 from the $200, up $8.06; AKo averages $91.94, down $8.06.
Think in thousands: about 538 of 1,000 go to 44, about 457 go to AKo, and about 5 are chopped.
The same matchup from the other side
The reversed view, 44 against AKo, shows 54.03% for 44 and 45.97% for AKo. It is the same count, so it redirects here.
Keep exploring
AsKh against 4d4c 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
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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