A9o
60.07%
Wins 59.82%, ties 0.51%
53s
39.93%
Wins 39.67%, ties 0.51%
A9o against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 59.817 | 0.509 | 39.674 | 60.072 |
| 53s | 39.674 | 0.509 | 59.817 | 39.928 |
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.
A 20.14 point lead is real, and 53s still takes about 397 of every 1,000 deals outright. The tie share is 0.51%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, A9o is number 25 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 49,164,000 | 418,000 | 32,608,000 |
| 53s | 32,608,000 | 418,000 | 49,164,000 |
48 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) |
|---|---|---|---|---|
| A9o | 1.505 | 1.672 | 2.521 | 0.665 |
| 53s | 0.665 | 2.521 | 1.672 | 1.505 |
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
A9o prefers rainbow flops topped by a ten or better, where it holds 64.45%, and likes low rainbow flops (nine high or lower) least, where it holds 46.13%. A9o is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | A9o wins | Ties | 53s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.326 | 0.243 | 35.431 | 64.448 |
| Rainbow, nine or lower | 5.689 | 45.703 | 0.844 | 53.453 | 46.125 |
| Two-tone | 46.667 | 58.128 | 0.329 | 41.543 | 58.292 |
| Monotone | 5.212 | 56.997 | 2.486 | 40.517 | 58.240 |
| Paired | 17.091 | 63.306 | 0.677 | 36.017 | 63.644 |
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
Relative to a random opponent, A9o changes by -0.70 points (baseline 60.77%) and 53s by +0.24 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 60.072 | 60.773 | -0.701 | 0.98847 |
| A9o, rainbow, ten or higher | 64.448 | 60.773 | +3.675 | 1.06047 |
| A9o, rainbow, nine or lower | 46.125 | 60.773 | -14.648 | 0.75897 |
| A9o, two-tone | 58.292 | 60.773 | -2.481 | 0.95918 |
| A9o, monotone | 58.240 | 60.773 | -2.533 | 0.95832 |
| A9o, paired | 63.644 | 60.773 | +2.871 | 1.04724 |
| 53s, all flops | 39.928 | 39.693 | +0.235 | 1.00592 |
| 53s, rainbow, ten or higher | 35.552 | 39.693 | -4.141 | 0.89567 |
| 53s, rainbow, nine or lower | 53.875 | 39.693 | +14.182 | 1.35729 |
| 53s, two-tone | 41.708 | 39.693 | +2.015 | 1.05076 |
| 53s, monotone | 41.760 | 39.693 | +2.067 | 1.05207 |
| 53s, paired | 36.356 | 39.693 | -3.337 | 0.91593 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A9o holds 60.76%. In 24 they do not, and it holds 59.38%. A9o does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 53s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.487 | 0.548 | 38.965 | 60.761 |
| No shared suit | 24 | 50.00 | 59.148 | 0.469 | 40.383 | 59.383 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A9o is worth $120.14 on average (+$20.14); 53s is worth $79.86 (-$20.14).
Over a long run, 1,000 deals split into about 598 for A9o, 397 for 53s and 5 tied.
The same matchup from the other side
53s versus A9o is this same page seen from the other hand: 39.93% for 53s, 60.07% for A9o.
Keep exploring
As9h against 5d3d 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
Each figure is a complete count over boards. Take the 48 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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