AJo
68.53%
Wins 64.79%, ties 7.48%
A8s
31.47%
Wins 27.73%, ties 7.48%
AJo against A8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 64.790 | 7.481 | 27.729 | 68.530 |
| A8s | 27.729 | 7.481 | 64.790 | 31.470 |
The matchup pits an offsuit hand against 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.
AJo is well ahead, and A8s needs a specific kind of board to catch up. Ties are 7.48% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, AJo is number 15 and A8s is number 21 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 39,938,000 | 4,612,000 | 17,093,000 |
| A8s | 17,093,000 | 4,612,000 | 39,938,000 |
36 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) |
|---|---|---|---|---|
| AJo | 2.178 | 1.543 | 3.606 | 0.459 |
| A8s | 0.459 | 3.606 | 1.543 | 2.178 |
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
The flop changes the picture. AJo does best on rainbow flops topped by a ten or better, at 75.58%, and worst on low rainbow flops (nine high or lower), at 57.60%. 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 | A8s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.805 | 5.559 | 21.636 | 75.584 |
| Rainbow, nine or lower | 7.042 | 55.451 | 4.297 | 40.252 | 57.599 |
| Two-tone | 46.527 | 65.232 | 4.979 | 29.789 | 67.721 |
| Monotone | 5.192 | 60.733 | 5.869 | 33.398 | 63.667 |
| Paired | 17.334 | 57.560 | 18.624 | 23.816 | 66.872 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
A random hand would give AJo 63.56% and A8s 61.94%. Against each other the change is +4.97 points for AJo and -30.47 for A8s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 68.530 | 63.563 | +4.967 | 1.07814 |
| AJo, rainbow, ten or higher | 75.584 | 63.563 | +12.021 | 1.18912 |
| AJo, rainbow, nine or lower | 57.599 | 63.563 | -5.964 | 0.90617 |
| AJo, two-tone | 67.721 | 63.563 | +4.158 | 1.06542 |
| AJo, monotone | 63.667 | 63.563 | +0.104 | 1.00164 |
| AJo, paired | 66.872 | 63.563 | +3.309 | 1.05206 |
| A8s, all flops | 31.470 | 61.944 | -30.474 | 0.50804 |
| A8s, rainbow, ten or higher | 24.416 | 61.944 | -37.528 | 0.39416 |
| A8s, rainbow, nine or lower | 42.401 | 61.944 | -19.543 | 0.68451 |
| A8s, two-tone | 32.279 | 61.944 | -29.665 | 0.52110 |
| A8s, monotone | 36.333 | 61.944 | -25.611 | 0.58655 |
| A8s, paired | 33.128 | 61.944 | -28.816 | 0.53481 |
Does a shared suit matter?
Does suit overlap move the numbers? AJo has 69.33% when the hands share a suit and 68.13% when they do not. AJo does better with a shared suit, by 1.20 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A8s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.540 | 7.588 | 26.872 | 69.334 |
| No shared suit | 24 | 66.67 | 64.415 | 7.427 | 28.158 | 68.129 |
How often this matchup comes up
AJo against A8s 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 $137.06 (a gain of $37.06) and A8s' is $62.94 (a loss of $37.06).
Per 1,000 deals: AJo wins about 648, A8s wins about 277, and about 75 end in a split pot.
The same matchup from the other side
A8s versus AJo is this same page seen from the other hand: 31.47% for A8s, 68.53% for AJo.
Keep exploring
Try AsJh against Ad8d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of AJo against A8s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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