AJs
52.49%
Wins 7.16%, ties 90.67%
AJo
47.51%
Wins 2.17%, ties 90.67%
AJs against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 7.158 | 90.669 | 2.173 | 52.492 |
| AJo | 2.173 | 90.669 | 7.158 | 47.508 |
The first hand is a suited hand; the second is an offsuit hand. The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
This is close to even money, with AJs a little ahead. Split pots make up 90.67% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, AJs is number 11 of the 169 starting hands and AJo is number 15.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 2,942,000 | 37,261,000 | 893,000 |
| AJo | 893,000 | 37,261,000 | 2,942,000 |
24 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) |
|---|---|---|---|---|
| AJs | 1.105 | 13.970 | 46.019 | 0.905 |
| AJo | 0.905 | 46.019 | 13.970 | 1.105 |
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
If you know the kind of flop that came, the numbers shift: AJs holds 53.28% on two-tone flops and 50.29% on monotone flops. AJs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | AJs wins | Ties | AJo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.514 | 63.542 | 17.944 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, AJs holds 65.39% and AJo holds 63.56%. Facing each other changes that by -12.90 points for AJs and -16.05 points for AJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 52.492 | 65.393 | -12.901 | 0.80272 |
| AJs, rainbow, ten or higher | 51.633 | 65.393 | -13.760 | 0.78958 |
| AJs, rainbow, nine or lower | 51.705 | 65.393 | -13.688 | 0.79068 |
| AJs, two-tone | 53.280 | 65.393 | -12.113 | 0.81477 |
| AJs, monotone | 50.285 | 65.393 | -15.108 | 0.76897 |
| AJs, paired | 52.541 | 65.393 | -12.852 | 0.80347 |
| AJo, all flops | 47.508 | 63.563 | -16.055 | 0.74742 |
| AJo, rainbow, ten or higher | 48.367 | 63.563 | -15.196 | 0.76093 |
| AJo, rainbow, nine or lower | 48.295 | 63.563 | -15.268 | 0.75980 |
| AJo, two-tone | 46.720 | 63.563 | -16.843 | 0.73502 |
| AJo, monotone | 49.715 | 63.563 | -13.848 | 0.78214 |
| AJo, paired | 47.459 | 63.563 | -16.104 | 0.74665 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | AJs wins | Ties | AJo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. AJs' equity of 52.49% is worth $104.98, a $4.98 edge, and AJo's 47.51% is worth $95.02, which is $4.98 under its stake.
Scaled to 1,000 deals, that is roughly 71 wins for AJs, 22 for AJo and 907 chopped pots.
The same matchup from the other side
One page covers both views. From AJo's side the equity is 47.51%, and from AJs' side it is 52.49%.
Keep exploring
Open the calculator with AsJs against AhJd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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