A5s
70.69%
Wins 69.43%, ties 2.53%
53s
29.31%
Wins 28.04%, ties 2.53%
A5s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 69.427 | 2.532 | 28.041 | 70.693 |
| 53s | 28.041 | 2.532 | 69.427 | 29.307 |
Each side holds one of the suited hands: A5s and 53s. 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.
A5s is well ahead, and 53s needs a specific kind of board to catch up. 2.53% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, A5s sits at number 30 of 169 starting hands and 53s at number 146 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 14,266,000 | 520,000 | 5,762,000 |
| 53s | 5,762,000 | 520,000 | 14,266,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A5s | 2.412 | 1.440 | 3.566 | 0.415 |
| 53s | 0.415 | 3.566 | 1.440 | 2.412 |
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
The flop changes the picture. A5s does best on paired flops, at 75.42%, and worst on low rainbow flops (nine high or lower), at 57.70%. A5s 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 | A5s wins | Ties | 53s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 74.081 | 1.433 | 24.486 | 74.797 |
| Rainbow, nine or lower | 5.654 | 53.786 | 7.833 | 38.381 | 57.703 |
| Two-tone | 46.543 | 67.927 | 2.251 | 29.822 | 69.052 |
| Monotone | 5.215 | 61.523 | 4.634 | 33.843 | 63.840 |
| Paired | 17.334 | 74.158 | 2.527 | 23.315 | 75.421 |
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, A5s changes by +10.77 points (baseline 59.92%) and 53s by -10.38 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 70.693 | 59.923 | +10.770 | 1.17973 |
| A5s, rainbow, ten or higher | 74.797 | 59.923 | +14.874 | 1.24822 |
| A5s, rainbow, nine or lower | 57.703 | 59.923 | -2.220 | 0.96295 |
| A5s, two-tone | 69.052 | 59.923 | +9.129 | 1.15235 |
| A5s, monotone | 63.840 | 59.923 | +3.917 | 1.06537 |
| A5s, paired | 75.421 | 59.923 | +15.498 | 1.25863 |
| 53s, all flops | 29.307 | 39.693 | -10.386 | 0.73834 |
| 53s, rainbow, ten or higher | 25.203 | 39.693 | -14.490 | 0.63495 |
| 53s, rainbow, nine or lower | 42.297 | 39.693 | +2.604 | 1.06560 |
| 53s, two-tone | 30.948 | 39.693 | -8.745 | 0.77968 |
| 53s, monotone | 36.160 | 39.693 | -3.533 | 0.91099 |
| 53s, paired | 24.579 | 39.693 | -15.114 | 0.61923 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 53s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.427 | 2.532 | 28.041 | 70.693 |
How often this matchup comes up
A5s against 53s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A5s takes back $141.38 of it, which is $41.38 more than it put in, and 53s takes back $58.62, $41.38 less than it put in.
Think in thousands: about 694 of 1,000 go to A5s, about 281 go to 53s, and about 25 are chopped.
The same matchup from the other side
Swap the hands and you get 53s with 29.31% against A5s with 70.69%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in As5s against 5h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 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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