ATo
66.11%
Wins 61.00%, ties 10.22%
A5s
33.89%
Wins 28.78%, ties 10.22%
ATo against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.998 | 10.221 | 28.781 | 66.109 |
| A5s | 28.781 | 10.221 | 60.998 | 33.891 |
ATo and A5s are an offsuit hand and a suited hand, in that order. 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.
A lead of 32.22 points is large but not decisive: A5s still takes about 288 of every 1,000 deals. Ties are 10.22% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, ATo is number 19 and A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 37,601,000 | 6,301,000 | 17,741,000 |
| A5s | 17,741,000 | 6,301,000 | 37,601,000 |
36 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) |
|---|---|---|---|---|
| ATo | 1.951 | 1.639 | 3.475 | 0.513 |
| A5s | 0.513 | 3.475 | 1.639 | 1.951 |
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
Split by what the flop looks like, ATo peaks at 73.34% on rainbow flops topped by a ten or better and bottoms out at 54.33% on low rainbow flops (nine high or lower). ATo 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 | ATo wins | Ties | A5s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 69.040 | 8.603 | 22.357 | 73.341 |
| Rainbow, nine or lower | 7.042 | 52.335 | 3.990 | 43.675 | 54.330 |
| Two-tone | 46.527 | 61.886 | 7.141 | 30.973 | 65.457 |
| Monotone | 5.192 | 58.310 | 7.576 | 34.114 | 62.098 |
| Paired | 17.334 | 51.846 | 24.046 | 24.108 | 63.869 |
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
How much does the opponent matter? Compared with its random-hand 62.72%, ATo changes by +3.39 points, and A5s, from 59.92%, by -26.03.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 66.109 | 62.722 | +3.387 | 1.05400 |
| ATo, rainbow, ten or higher | 73.341 | 62.722 | +10.619 | 1.16930 |
| ATo, rainbow, nine or lower | 54.330 | 62.722 | -8.392 | 0.86620 |
| ATo, two-tone | 65.457 | 62.722 | +2.735 | 1.04361 |
| ATo, monotone | 62.098 | 62.722 | -0.624 | 0.99005 |
| ATo, paired | 63.869 | 62.722 | +1.147 | 1.01829 |
| A5s, all flops | 33.891 | 59.923 | -26.032 | 0.56558 |
| A5s, rainbow, ten or higher | 26.659 | 59.923 | -33.264 | 0.44489 |
| A5s, rainbow, nine or lower | 45.670 | 59.923 | -14.253 | 0.76214 |
| A5s, two-tone | 34.543 | 59.923 | -25.380 | 0.57646 |
| A5s, monotone | 37.902 | 59.923 | -22.021 | 0.63251 |
| A5s, paired | 36.131 | 59.923 | -23.792 | 0.60296 |
Does a shared suit matter?
When the hands share a suit, ATo holds 66.91%; when they do not, it holds 65.71%. ATo does better with a shared suit, by 1.20 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | A5s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 61.730 | 10.352 | 27.918 | 66.906 |
| No shared suit | 24 | 66.67 | 60.632 | 10.156 | 29.212 | 65.710 |
How often this matchup comes up
ATo against A5s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATo's average share is $132.22 (a gain of $32.22) and A5s' is $67.78 (a loss of $32.22).
A thousand deals look like this: ATo takes 610, A5s takes 288, 102 are ties.
The same matchup from the other side
Read it from the other side: A5s against ATo is the same matchup with the numbers swapped, so A5s holds 33.89% and ATo holds 66.11%. That address sends you back to this page.
Keep exploring
Try AsTh against Ad5d 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
Nothing here is simulated. The 36 deals of ATo against A5s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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