AJs
48.68%
Wins 48.45%, ties 0.46%
55
51.32%
Wins 51.09%, ties 0.46%
AJs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 48.449 | 0.456 | 51.095 | 48.677 |
| 55 | 51.095 | 0.456 | 48.449 | 51.323 |
AJs is a suited hand and 55 is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
55 leads by less than 3 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.46% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AJs is number 11 and 55 is number 27 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 19,910,000 | 187,000 | 20,998,000 |
| 55 | 20,998,000 | 187,000 | 19,910,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJs | 0.948 | 2.064 | 1.957 | 1.054 |
| 55 | 1.054 | 1.957 | 2.064 | 0.948 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Break the boards down by their first three cards and 55 is strongest on low rainbow flops (nine high or lower) (77.51%) and weakest on rainbow flops topped by a ten or better (45.54%). AJs takes over on rainbow flops topped by a ten or better and two-tone flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | AJs wins | Ties | 55 wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.359 | 0.195 | 45.446 | 54.457 |
| Rainbow, nine or lower | 6.314 | 22.107 | 0.757 | 77.136 | 22.486 |
| Two-tone | 46.545 | 49.996 | 0.288 | 49.716 | 50.140 |
| Monotone | 5.212 | 47.728 | 2.590 | 49.682 | 49.023 |
| Paired | 17.334 | 45.717 | 0.528 | 53.755 | 45.981 |
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 AJs from 65.39% by -16.71 points and 55 from 60.33% by -9.01 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 48.677 | 65.393 | -16.716 | 0.74438 |
| AJs, rainbow, ten or higher | 54.457 | 65.393 | -10.936 | 0.83276 |
| AJs, rainbow, nine or lower | 22.486 | 65.393 | -42.907 | 0.34386 |
| AJs, two-tone | 50.140 | 65.393 | -15.253 | 0.76675 |
| AJs, monotone | 49.023 | 65.393 | -16.370 | 0.74967 |
| AJs, paired | 45.981 | 65.393 | -19.412 | 0.70315 |
| 55, all flops | 51.323 | 60.325 | -9.002 | 0.85077 |
| 55, rainbow, ten or higher | 45.543 | 60.325 | -14.782 | 0.75496 |
| 55, rainbow, nine or lower | 77.514 | 60.325 | +17.189 | 1.28494 |
| 55, two-tone | 49.860 | 60.325 | -10.465 | 0.82652 |
| 55, monotone | 50.977 | 60.325 | -9.348 | 0.84504 |
| 55, paired | 54.019 | 60.325 | -6.306 | 0.89547 |
Does a shared suit matter?
When the hands share a suit, 55 holds 51.50%; when they do not, it holds 51.15%. 55 does better with a shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 55 wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.249 | 0.499 | 51.252 | 48.498 |
| No shared suit | 12 | 50.00 | 48.648 | 0.414 | 50.938 | 48.855 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are AJs against 55, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $102.64 for 55 and $97.36 for AJs; the first side gains $2.64 per all-in and the second gives up $2.64.
Scaled to 1,000 deals, that is roughly 511 wins for 55, 484 for AJs and 5 chopped pots.
The same matchup from the other side
The mirror image, 55 against AJs, is 51.32% to 48.68%, and its address redirects to this page.
Keep exploring
Open the calculator with AsJs against 5h5d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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