A5s
55.81%
Wins 55.56%, ties 0.50%
87s
44.19%
Wins 43.94%, ties 0.50%
A5s against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 55.560 | 0.495 | 43.945 | 55.808 |
| 87s | 43.945 | 0.495 | 55.560 | 44.192 |
Two suited hands meet here: A5s against 87s. 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. 0.50% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 30 of 169 belongs to A5s and place 100 belongs to 87s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 15,222,000 | 136,000 | 12,040,000 |
| 87s | 12,040,000 | 136,000 | 15,222,000 |
The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A5s | 1.263 | 1.800 | 2.276 | 0.792 |
| 87s | 0.792 | 2.276 | 1.800 | 1.263 |
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
Across the five flop textures A5s' equity moves by 22.19 points, from 39.28% on low rainbow flops (nine high or lower) to 61.47% on paired flops. On low rainbow flops (nine high or lower) the numbers flip and 87s is the one ahead.
| Flop | Share of flops | A5s wins | Ties | 87s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.311 | 0.221 | 41.468 | 58.422 |
| Rainbow, nine or lower | 5.689 | 39.037 | 0.491 | 60.472 | 39.282 |
| Two-tone | 46.727 | 54.467 | 0.250 | 45.283 | 54.592 |
| Monotone | 5.273 | 51.860 | 3.422 | 44.718 | 53.571 |
| Paired | 17.091 | 61.135 | 0.665 | 38.200 | 61.467 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by -4.11 points, and 87s, from 47.94%, by -3.75.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 55.808 | 59.923 | -4.115 | 0.93133 |
| A5s, rainbow, ten or higher | 58.422 | 59.923 | -1.501 | 0.97495 |
| A5s, rainbow, nine or lower | 39.282 | 59.923 | -20.641 | 0.65554 |
| A5s, two-tone | 54.592 | 59.923 | -5.331 | 0.91104 |
| A5s, monotone | 53.571 | 59.923 | -6.352 | 0.89400 |
| A5s, paired | 61.467 | 59.923 | +1.544 | 1.02577 |
| 87s, all flops | 44.192 | 47.936 | -3.744 | 0.92190 |
| 87s, rainbow, ten or higher | 41.578 | 47.936 | -6.358 | 0.86736 |
| 87s, rainbow, nine or lower | 60.718 | 47.936 | +12.782 | 1.26665 |
| 87s, two-tone | 45.408 | 47.936 | -2.528 | 0.94726 |
| 87s, monotone | 46.429 | 47.936 | -1.507 | 0.96856 |
| 87s, paired | 38.533 | 47.936 | -9.403 | 0.80384 |
Does a shared suit matter?
Does suit overlap move the numbers? A5s has 57.55% when the hands share a suit and 55.23% when they do not. A5s does better with a shared suit, by 2.32 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 87s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.263 | 0.573 | 42.164 | 57.549 |
| No shared suit | 12 | 75.00 | 54.993 | 0.469 | 44.538 | 55.228 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. A5s' equity of 55.81% is worth $111.62, a $11.62 edge, and 87s' 44.19% is worth $88.38, which is $11.62 under its stake.
Out of 1,000 deals you should see around 556 outright wins for A5s, 439 for 87s, and 5 split pots.
The same matchup from the other side
Read it from the other side: 87s against A5s is the same matchup with the numbers swapped, so 87s holds 44.19% and A5s holds 55.81%. That address sends you back to this page.
Keep exploring
As5s against 8h7h 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
Nothing here is simulated. The 16 deals of A5s against 87s 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session