AJo
59.98%
Wins 59.77%, ties 0.42%
86s
40.02%
Wins 39.81%, ties 0.42%
AJo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 59.768 | 0.420 | 39.812 | 59.978 |
| 86s | 39.812 | 0.420 | 59.768 | 40.022 |
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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.42% of the outcomes here; each tied board gives both hands half the pot.
For context, AJo sits at number 15 of 169 starting hands and 86s at number 110 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,124,000 | 345,000 | 32,722,000 |
| 86s | 32,722,000 | 345,000 | 49,124,000 |
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) |
|---|---|---|---|---|
| AJo | 1.499 | 1.673 | 2.512 | 0.667 |
| 86s | 0.667 | 2.512 | 1.673 | 1.499 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AJo (68.03%); low rainbow flops (nine high or lower) are the worst (34.24%). 86s is ahead on low rainbow flops (nine high or lower), even though it trails AJo when every flop is counted.
| Flop | Share of flops | AJo wins | Ties | 86s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.961 | 0.144 | 31.895 | 68.033 |
| Rainbow, nine or lower | 6.313 | 33.912 | 0.662 | 65.426 | 34.243 |
| Two-tone | 46.667 | 58.247 | 0.236 | 41.517 | 58.365 |
| Monotone | 5.212 | 57.097 | 2.356 | 40.547 | 58.275 |
| Paired | 17.091 | 62.439 | 0.645 | 36.916 | 62.761 |
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
Against one random hand instead, AJo holds 63.56% and 86s holds 46.24%. Facing each other changes that by -3.58 points for AJo and -6.22 points for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 59.978 | 63.563 | -3.585 | 0.94360 |
| AJo, rainbow, ten or higher | 68.033 | 63.563 | +4.470 | 1.07032 |
| AJo, rainbow, nine or lower | 34.243 | 63.563 | -29.320 | 0.53873 |
| AJo, two-tone | 58.365 | 63.563 | -5.198 | 0.91822 |
| AJo, monotone | 58.275 | 63.563 | -5.288 | 0.91681 |
| AJo, paired | 62.761 | 63.563 | -0.802 | 0.98738 |
| 86s, all flops | 40.022 | 46.243 | -6.221 | 0.86547 |
| 86s, rainbow, ten or higher | 31.967 | 46.243 | -14.276 | 0.69128 |
| 86s, rainbow, nine or lower | 65.757 | 46.243 | +19.514 | 1.42199 |
| 86s, two-tone | 41.635 | 46.243 | -4.608 | 0.90035 |
| 86s, monotone | 41.725 | 46.243 | -4.518 | 0.90230 |
| 86s, paired | 37.239 | 46.243 | -9.004 | 0.80529 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJo has 60.68% equity, and with none in common it has 59.27%. AJo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 86s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.454 | 0.461 | 39.085 | 60.684 |
| No shared suit | 24 | 50.00 | 59.082 | 0.380 | 40.538 | 59.272 |
How often this matchup comes up
Counting specific cards, AJo against 86s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $119.96 for AJo and $80.04 for 86s; the first side gains $19.96 per all-in and the second gives up $19.96.
Scaled to 1,000 deals, that is roughly 598 wins for AJo, 398 for 86s and 4 chopped pots.
The same matchup from the other side
The mirror image, 86s against AJo, is 40.02% to 59.98%, and its address redirects to this page.
Keep exploring
AsJh against 8d6d 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 AJo and one 86s 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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