AJo
59.17%
Wins 58.96%, ties 0.42%
76s
40.83%
Wins 40.62%, ties 0.42%
AJo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 58.957 | 0.420 | 40.623 | 59.167 |
| 76s | 40.623 | 0.420 | 58.957 | 40.833 |
One side is an offsuit hand, the other is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
AJo is ahead, but 76s is far from dead: it takes 406 of every 1,000 deals outright. Of every 100 boards, about 0.42 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, AJo is number 15 of the 169 starting hands and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 48,457,000 | 345,000 | 33,388,000 |
| 76s | 33,388,000 | 345,000 | 48,457,000 |
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 | 1.449 | 1.696 | 2.462 | 0.690 |
| 76s | 0.690 | 2.462 | 1.696 | 1.449 |
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
The flop changes the picture. AJo does best on rainbow flops topped by a ten or better, at 67.42%, and worst on low rainbow flops (nine high or lower), at 32.24%. AJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AJo wins | Ties | 76s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.341 | 0.159 | 32.500 | 67.421 |
| Rainbow, nine or lower | 6.313 | 31.941 | 0.593 | 67.466 | 32.238 |
| Two-tone | 46.667 | 57.419 | 0.235 | 42.346 | 57.536 |
| Monotone | 5.212 | 56.467 | 2.362 | 41.171 | 57.648 |
| Paired | 17.091 | 61.770 | 0.649 | 37.581 | 62.095 |
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
Compared with a random opponent, this matchup shifts AJo from 63.56% by -4.39 points and 76s from 45.37% by -4.54 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 59.167 | 63.563 | -4.396 | 0.93084 |
| AJo, rainbow, ten or higher | 67.421 | 63.563 | +3.858 | 1.06070 |
| AJo, rainbow, nine or lower | 32.238 | 63.563 | -31.325 | 0.50718 |
| AJo, two-tone | 57.536 | 63.563 | -6.027 | 0.90518 |
| AJo, monotone | 57.648 | 63.563 | -5.915 | 0.90694 |
| AJo, paired | 62.095 | 63.563 | -1.468 | 0.97690 |
| 76s, all flops | 40.833 | 45.372 | -4.539 | 0.89996 |
| 76s, rainbow, ten or higher | 32.579 | 45.372 | -12.793 | 0.71804 |
| 76s, rainbow, nine or lower | 67.762 | 45.372 | +22.390 | 1.49348 |
| 76s, two-tone | 42.464 | 45.372 | -2.908 | 0.93591 |
| 76s, monotone | 42.352 | 45.372 | -3.020 | 0.93344 |
| 76s, paired | 37.905 | 45.372 | -7.467 | 0.83543 |
Does a shared suit matter?
When the hands share a suit, AJo holds 59.86%; when they do not, it holds 58.48%. AJo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 76s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.628 | 0.462 | 39.910 | 59.859 |
| No shared suit | 24 | 50.00 | 58.285 | 0.379 | 41.336 | 58.475 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AJo against 76s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $118.34 for AJo and $81.66 for 76s; the first side gains $18.34 per all-in and the second gives up $18.34.
Per 1,000 deals: AJo wins about 590, 76s wins about 406, and about 4 end in a split pot.
The same matchup from the other side
The reversed view, 76s against AJo, shows 40.83% for 76s and 59.17% for AJo. It is the same count, so it redirects here.
Keep exploring
AsJh against 7d6d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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