AJo
60.24%
Wins 59.99%, ties 0.51%
53s
39.76%
Wins 39.50%, ties 0.51%
AJo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 59.987 | 0.510 | 39.503 | 60.242 |
| 53s | 39.503 | 0.510 | 59.987 | 39.758 |
Here an offsuit hand (AJo) meets a suited hand (53s). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.51% of boards are ties, so the equity of each hand is its win rate plus half of that.
AJo ranks number 15 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,304,000 | 419,000 | 32,468,000 |
| 53s | 32,468,000 | 419,000 | 49,304,000 |
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) |
|---|---|---|---|---|
| AJo | 1.515 | 1.667 | 2.531 | 0.660 |
| 53s | 0.660 | 2.531 | 1.667 | 1.515 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. AJo does best on rainbow flops topped by a ten or better, at 68.04%, and worst on low rainbow flops (nine high or lower), at 34.86%. Low rainbow flops (nine high or lower) favor 53s, the hand that is behind overall.
| Flop | Share of flops | AJo wins | Ties | 53s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.940 | 0.195 | 31.865 | 68.038 |
| Rainbow, nine or lower | 6.313 | 34.367 | 0.984 | 64.649 | 34.859 |
| Two-tone | 46.667 | 58.317 | 0.333 | 41.350 | 58.484 |
| Monotone | 5.212 | 57.149 | 2.491 | 40.360 | 58.394 |
| Paired | 17.091 | 63.373 | 0.669 | 35.958 | 63.708 |
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
Start from the random-hand figures, 63.56% for AJo and 39.69% for 53s. This opponent changes them by -3.32 and +0.07 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 60.242 | 63.563 | -3.321 | 0.94775 |
| AJo, rainbow, ten or higher | 68.038 | 63.563 | +4.475 | 1.07040 |
| AJo, rainbow, nine or lower | 34.859 | 63.563 | -28.704 | 0.54842 |
| AJo, two-tone | 58.484 | 63.563 | -5.079 | 0.92010 |
| AJo, monotone | 58.394 | 63.563 | -5.169 | 0.91868 |
| AJo, paired | 63.708 | 63.563 | +0.145 | 1.00228 |
| 53s, all flops | 39.758 | 39.693 | +0.065 | 1.00164 |
| 53s, rainbow, ten or higher | 31.962 | 39.693 | -7.731 | 0.80523 |
| 53s, rainbow, nine or lower | 65.141 | 39.693 | +25.448 | 1.64112 |
| 53s, two-tone | 41.516 | 39.693 | +1.823 | 1.04593 |
| 53s, monotone | 41.606 | 39.693 | +1.913 | 1.04819 |
| 53s, paired | 36.292 | 39.693 | -3.401 | 0.91432 |
Does a shared suit matter?
When the hands share a suit, AJo holds 60.94%; when they do not, it holds 59.55%. AJo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 53s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.661 | 0.549 | 38.790 | 60.936 |
| No shared suit | 24 | 50.00 | 59.312 | 0.471 | 40.217 | 59.547 |
How often this matchup comes up
Counting specific cards, AJo against 53s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $120.48 on average (+$20.48); 53s is worth $79.52 (-$20.48).
A thousand deals look like this: AJo takes 600, 53s takes 395, 5 are ties.
The same matchup from the other side
The mirror image, 53s against AJo, is 39.76% to 60.24%, and its address redirects to this page.
Keep exploring
Try AsJh against 5d3d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
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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