AJs
62.76%
Wins 62.48%, ties 0.55%
53s
37.24%
Wins 36.97%, ties 0.55%
AJs against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.482 | 0.554 | 36.964 | 62.759 |
| 53s | 36.964 | 0.554 | 62.482 | 37.241 |
AJs and 53s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 25.52 point lead is real, and 53s still takes about 370 of every 1,000 deals outright. The tie share is 0.55%: on those boards the pot is chopped and neither hand wins outright.
Place 11 of 169 belongs to AJs and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,118,000 | 152,000 | 10,127,000 |
| 53s | 10,127,000 | 152,000 | 17,118,000 |
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) |
|---|---|---|---|---|
| AJs | 1.685 | 1.600 | 2.705 | 0.593 |
| 53s | 0.593 | 2.705 | 1.600 | 1.685 |
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
The flop changes the picture. AJs does best on rainbow flops topped by a ten or better, at 69.37%, and worst on low rainbow flops (nine high or lower), at 37.32%. Watch for low rainbow flops (nine high or lower): on those flops 53s holds the better equity.
| Flop | Share of flops | AJs wins | Ties | 53s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.272 | 0.190 | 30.538 | 69.367 |
| Rainbow, nine or lower | 6.314 | 36.844 | 0.944 | 62.212 | 37.316 |
| Two-tone | 46.727 | 61.762 | 0.312 | 37.926 | 61.918 |
| Monotone | 5.273 | 58.063 | 3.561 | 38.376 | 59.844 |
| Paired | 17.091 | 65.514 | 0.669 | 33.817 | 65.849 |
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
Relative to a random opponent, AJs changes by -2.63 points (baseline 65.39%) and 53s by -2.45 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 62.759 | 65.393 | -2.634 | 0.95972 |
| AJs, rainbow, ten or higher | 69.367 | 65.393 | +3.974 | 1.06077 |
| AJs, rainbow, nine or lower | 37.316 | 65.393 | -28.077 | 0.57064 |
| AJs, two-tone | 61.918 | 65.393 | -3.475 | 0.94686 |
| AJs, monotone | 59.844 | 65.393 | -5.549 | 0.91514 |
| AJs, paired | 65.849 | 65.393 | +0.456 | 1.00697 |
| 53s, all flops | 37.241 | 39.693 | -2.452 | 0.93823 |
| 53s, rainbow, ten or higher | 30.633 | 39.693 | -9.060 | 0.77175 |
| 53s, rainbow, nine or lower | 62.684 | 39.693 | +22.991 | 1.57922 |
| 53s, two-tone | 38.082 | 39.693 | -1.611 | 0.95941 |
| 53s, monotone | 40.156 | 39.693 | +0.463 | 1.01166 |
| 53s, paired | 34.151 | 39.693 | -5.542 | 0.86038 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJs has 65.07% equity, and with none in common it has 61.99%. AJs does better with a shared suit, by 3.08 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 53s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.754 | 0.633 | 34.613 | 65.070 |
| No shared suit | 12 | 75.00 | 61.725 | 0.528 | 37.747 | 61.989 |
How often this matchup comes up
Counting specific cards, AJs against 53s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $125.52 for AJs and $74.48 for 53s; the first side gains $25.52 per all-in and the second gives up $25.52.
Think in thousands: about 625 of 1,000 go to AJs, about 370 go to 53s, and about 5 are chopped.
The same matchup from the other side
Swap the hands and you get 53s with 37.24% against AJs with 62.76%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with AsJs against 5h3h 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 16 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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