AJo
68.60%
Wins 65.01%, ties 7.17%
A6s
31.40%
Wins 27.82%, ties 7.17%
AJo against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 65.012 | 7.172 | 27.816 | 68.598 |
| A6s | 27.816 | 7.172 | 65.012 | 31.402 |
One side is an offsuit hand, the other is a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AJo is well ahead, and A6s needs a specific kind of board to catch up. A split pot comes up on 7.17% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, AJo is number 15 of the 169 starting hands and A6s is number 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 40,075,000 | 4,421,000 | 17,147,000 |
| A6s | 17,147,000 | 4,421,000 | 40,075,000 |
The total is exact: 36 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 | 2.185 | 1.538 | 3.595 | 0.458 |
| A6s | 0.458 | 3.595 | 1.538 | 2.185 |
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
Split by what the flop looks like, AJo peaks at 76.09% on rainbow flops topped by a ten or better and bottoms out at 56.00% on low rainbow flops (nine high or lower). 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 | A6s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 73.382 | 5.421 | 21.197 | 76.092 |
| Rainbow, nine or lower | 7.042 | 54.589 | 2.823 | 42.588 | 56.001 |
| Two-tone | 46.527 | 65.452 | 4.588 | 29.960 | 67.746 |
| Monotone | 5.192 | 60.906 | 5.628 | 33.466 | 63.720 |
| Paired | 17.334 | 57.753 | 18.753 | 23.494 | 67.129 |
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
The table below sets each hand against its own random-hand baseline: a change of +5.04 points for AJo, from 63.56%, and -28.51 for A6s, from 59.91%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 68.598 | 63.563 | +5.035 | 1.07921 |
| AJo, rainbow, ten or higher | 76.092 | 63.563 | +12.529 | 1.19711 |
| AJo, rainbow, nine or lower | 56.001 | 63.563 | -7.562 | 0.88103 |
| AJo, two-tone | 67.746 | 63.563 | +4.183 | 1.06581 |
| AJo, monotone | 63.720 | 63.563 | +0.157 | 1.00247 |
| AJo, paired | 67.129 | 63.563 | +3.566 | 1.05610 |
| A6s, all flops | 31.402 | 59.906 | -28.504 | 0.52419 |
| A6s, rainbow, ten or higher | 23.908 | 59.906 | -35.998 | 0.39909 |
| A6s, rainbow, nine or lower | 43.999 | 59.906 | -15.907 | 0.73447 |
| A6s, two-tone | 32.254 | 59.906 | -27.652 | 0.53841 |
| A6s, monotone | 36.280 | 59.906 | -23.626 | 0.60562 |
| A6s, paired | 32.871 | 59.906 | -27.035 | 0.54871 |
Does a shared suit matter?
When the hands share a suit, AJo holds 69.43%; when they do not, it holds 68.18%. AJo does better with a shared suit, by 1.25 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A6s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.791 | 7.275 | 26.934 | 69.429 |
| No shared suit | 24 | 66.67 | 64.622 | 7.121 | 28.257 | 68.183 |
How often this matchup comes up
AJo against A6s 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
Take a $200 pot built from $100 each. AJo's equity of 68.60% is worth $137.20, a $37.20 edge, and A6s' 31.40% is worth $62.80, which is $37.20 under its stake.
Out of 1,000 deals you should see around 650 outright wins for AJo, 278 for A6s, and 72 split pots.
The same matchup from the other side
One page covers both views. From A6s' side the equity is 31.40%, and from AJo's side it is 68.60%.
Keep exploring
Try AsJh against Ad6d 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
We counted every case. Each suit pattern of the 36 specific AJo against A6s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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