AQs
62.68%
Wins 62.40%, ties 0.56%
53s
37.32%
Wins 37.04%, ties 0.56%
AQs against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 62.396 | 0.564 | 37.040 | 62.678 |
| 53s | 37.040 | 0.564 | 62.396 | 37.322 |
The matchup is suited hands on both sides, AQs against 53s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 25.36 point lead is real, and 53s still takes about 370 of every 1,000 deals outright. Ties are part of the picture: 0.56% of boards end in a split pot, and each side counts that as half a win.
Place 10 of 169 belongs to AQs and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 17,095,000 | 155,000 | 10,148,000 |
| 53s | 10,148,000 | 155,000 | 17,095,000 |
16 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) |
|---|---|---|---|---|
| AQs | 1.679 | 1.603 | 2.700 | 0.595 |
| 53s | 0.595 | 2.700 | 1.603 | 1.679 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AQs (69.29%); low rainbow flops (nine high or lower) are the worst (37.07%). The overall edge for AQs hides low rainbow flops (nine high or lower), where 53s comes out in front.
| Flop | Share of flops | AQs wins | Ties | 53s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.203 | 0.182 | 30.615 | 69.294 |
| Rainbow, nine or lower | 6.314 | 36.541 | 1.049 | 62.410 | 37.065 |
| Two-tone | 46.727 | 61.661 | 0.323 | 38.016 | 61.823 |
| Monotone | 5.273 | 57.991 | 3.566 | 38.443 | 59.774 |
| Paired | 17.091 | 65.518 | 0.665 | 33.817 | 65.851 |
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
Against one random hand instead, AQs holds 66.21% and 53s holds 39.69%. Facing each other changes that by -3.53 points for AQs and -2.37 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 62.678 | 66.209 | -3.531 | 0.94667 |
| AQs, rainbow, ten or higher | 69.294 | 66.209 | +3.085 | 1.04659 |
| AQs, rainbow, nine or lower | 37.065 | 66.209 | -29.144 | 0.55982 |
| AQs, two-tone | 61.823 | 66.209 | -4.386 | 0.93376 |
| AQs, monotone | 59.774 | 66.209 | -6.435 | 0.90281 |
| AQs, paired | 65.851 | 66.209 | -0.358 | 0.99459 |
| 53s, all flops | 37.322 | 39.693 | -2.371 | 0.94027 |
| 53s, rainbow, ten or higher | 30.706 | 39.693 | -8.987 | 0.77359 |
| 53s, rainbow, nine or lower | 62.935 | 39.693 | +23.242 | 1.58554 |
| 53s, two-tone | 38.177 | 39.693 | -1.516 | 0.96181 |
| 53s, monotone | 40.226 | 39.693 | +0.533 | 1.01343 |
| 53s, paired | 34.149 | 39.693 | -5.544 | 0.86033 |
Does a shared suit matter?
Split by suits, the deals give AQs 64.98% when the hands overlap in a suit and 61.91% when they do not. AQs does better with a shared suit, by 3.07 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | 53s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.658 | 0.644 | 34.698 | 64.980 |
| No shared suit | 12 | 75.00 | 61.641 | 0.537 | 37.822 | 61.910 |
How often this matchup comes up
AQs against 53s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Take a $200 pot built from $100 each. AQs' equity of 62.68% is worth $125.36, a $25.36 edge, and 53s' 37.32% is worth $74.64, which is $25.36 under its stake.
A thousand deals look like this: AQs takes 624, 53s takes 370, 6 are ties.
The same matchup from the other side
One page covers both views. From 53s' side the equity is 37.32%, and from AQs' side it is 62.68%.
Keep exploring
Open the calculator with AsQs 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
Each figure is a complete count over boards. Take the 16 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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