AJo
68.39%
Wins 64.49%, ties 7.80%
A2s
31.61%
Wins 27.71%, ties 7.80%
AJo against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 64.490 | 7.802 | 27.708 | 68.391 |
| A2s | 27.708 | 7.802 | 64.490 | 31.609 |
AJo is an offsuit hand and A2s is a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 36.78 points is large but not decisive: A2s still takes about 277 of every 1,000 deals. Ties are 7.80% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, AJo is number 15 and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 39,754,000 | 4,809,000 | 17,080,000 |
| A2s | 17,080,000 | 4,809,000 | 39,754,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| AJo | 2.164 | 1.551 | 3.609 | 0.462 |
| A2s | 0.462 | 3.609 | 1.551 | 2.164 |
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
Across the five flop textures AJo's equity moves by 18.85 points, from 56.62% on low rainbow flops (nine high or lower) to 75.47% on rainbow flops topped by a ten or better. AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AJo wins | Ties | A2s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.612 | 5.715 | 21.673 | 75.469 |
| Rainbow, nine or lower | 7.042 | 54.342 | 4.545 | 41.113 | 56.615 |
| Two-tone | 46.527 | 64.883 | 5.172 | 29.945 | 67.469 |
| Monotone | 5.192 | 60.563 | 6.087 | 33.350 | 63.606 |
| Paired | 17.334 | 57.533 | 19.573 | 22.894 | 67.319 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 63.56% for AJo and 57.38% for A2s. This opponent changes them by +4.83 and -25.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 68.391 | 63.563 | +4.828 | 1.07596 |
| AJo, rainbow, ten or higher | 75.469 | 63.563 | +11.906 | 1.18731 |
| AJo, rainbow, nine or lower | 56.615 | 63.563 | -6.948 | 0.89069 |
| AJo, two-tone | 67.469 | 63.563 | +3.906 | 1.06145 |
| AJo, monotone | 63.606 | 63.563 | +0.043 | 1.00068 |
| AJo, paired | 67.319 | 63.563 | +3.756 | 1.05909 |
| A2s, all flops | 31.609 | 57.379 | -25.770 | 0.55088 |
| A2s, rainbow, ten or higher | 24.531 | 57.379 | -32.848 | 0.42753 |
| A2s, rainbow, nine or lower | 43.385 | 57.379 | -13.994 | 0.75611 |
| A2s, two-tone | 32.531 | 57.379 | -24.848 | 0.56695 |
| A2s, monotone | 36.394 | 57.379 | -20.985 | 0.63427 |
| A2s, paired | 32.681 | 57.379 | -24.698 | 0.56956 |
Does a shared suit matter?
Split by suits, the deals give AJo 69.21% when the hands overlap in a suit and 67.98% when they do not. AJo does better with a shared suit, by 1.23 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A2s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.256 | 7.911 | 26.833 | 69.211 |
| No shared suit | 24 | 66.67 | 64.107 | 7.747 | 28.146 | 67.981 |
How often this matchup comes up
AJo against A2s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJo's average share is $136.78 (a gain of $36.78) and A2s' is $63.22 (a loss of $36.78).
Scaled to 1,000 deals, that is roughly 645 wins for AJo, 277 for A2s and 78 chopped pots.
The same matchup from the other side
The reversed view, A2s against AJo, shows 31.61% for A2s and 68.39% for AJo. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsJh against Ad2d, 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
Nothing here is simulated. The 36 deals of AJo against A2s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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