A2s
55.27%
Wins 55.01%, ties 0.52%
86s
44.73%
Wins 44.47%, ties 0.52%
A2s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 55.012 | 0.520 | 44.468 | 55.272 |
| 86s | 44.468 | 0.520 | 55.012 | 44.728 |
Both hands are suited hands: A2s and 86s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 10.54 point lead is real, and 86s still takes about 445 of every 1,000 deals outright. A split pot comes up on 0.52% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, A2s holds place 46 of 169 and 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 15,072,000 | 142,000 | 12,183,000 |
| 86s | 12,183,000 | 142,000 | 15,072,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A2s | 1.236 | 1.818 | 2.249 | 0.809 |
| 86s | 0.809 | 2.249 | 1.818 | 1.236 |
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
Break the boards down by their first three cards and A2s is strongest on paired flops (61.51%) and weakest on low rainbow flops (nine high or lower) (33.38%). Low rainbow flops (nine high or lower) favor 86s, the hand that is behind overall.
| Flop | Share of flops | A2s wins | Ties | 86s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.734 | 0.209 | 41.057 | 58.838 |
| Rainbow, nine or lower | 5.689 | 33.016 | 0.722 | 66.262 | 33.377 |
| Two-tone | 46.727 | 53.831 | 0.275 | 45.894 | 53.969 |
| Monotone | 5.273 | 51.459 | 3.435 | 45.106 | 53.177 |
| Paired | 17.091 | 61.169 | 0.682 | 38.149 | 61.510 |
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
The table below sets each hand against its own random-hand baseline: a change of -2.11 points for A2s, from 57.38%, and -1.51 for 86s, from 46.24%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 55.272 | 57.379 | -2.107 | 0.96328 |
| A2s, rainbow, ten or higher | 58.838 | 57.379 | +1.459 | 1.02543 |
| A2s, rainbow, nine or lower | 33.377 | 57.379 | -24.002 | 0.58169 |
| A2s, two-tone | 53.969 | 57.379 | -3.410 | 0.94057 |
| A2s, monotone | 53.177 | 57.379 | -4.202 | 0.92677 |
| A2s, paired | 61.510 | 57.379 | +4.131 | 1.07199 |
| 86s, all flops | 44.728 | 46.243 | -1.515 | 0.96724 |
| 86s, rainbow, ten or higher | 41.162 | 46.243 | -5.081 | 0.89012 |
| 86s, rainbow, nine or lower | 66.623 | 46.243 | +20.380 | 1.44072 |
| 86s, two-tone | 46.031 | 46.243 | -0.212 | 0.99542 |
| 86s, monotone | 46.823 | 46.243 | +0.580 | 1.01254 |
| 86s, paired | 38.490 | 46.243 | -7.753 | 0.83234 |
Does a shared suit matter?
Does suit overlap move the numbers? A2s has 56.93% when the hands share a suit and 54.72% when they do not. A2s does better with a shared suit, by 2.21 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 86s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.625 | 0.601 | 42.774 | 56.926 |
| No shared suit | 12 | 75.00 | 54.475 | 0.493 | 45.032 | 54.721 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A2s against 86s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: A2s averages $110.54 back, ahead of its $100 by $10.54, while 86s averages $89.46, short of its $100 by $10.54.
Scaled to 1,000 deals, that is roughly 550 wins for A2s, 445 for 86s and 5 chopped pots.
The same matchup from the other side
One page covers both views. From 86s' side the equity is 44.73%, and from A2s' side it is 55.27%.
Keep exploring
As2s against 8h6h 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 16 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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