A8s
58.86%
Wins 58.65%, ties 0.43%
QTo
41.14%
Wins 40.92%, ties 0.43%
A8s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 58.645 | 0.433 | 40.922 | 58.862 |
| QTo | 40.922 | 0.433 | 58.645 | 41.138 |
We compare a suited hand with an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A8s is ahead, but QTo is far from dead: it takes 409 of every 1,000 deals outright. Split pots make up 0.43% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, A8s is number 21 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 48,201,000 | 356,000 | 33,634,000 |
| QTo | 33,634,000 | 356,000 | 48,201,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A8s | 1.431 | 1.705 | 2.444 | 0.699 |
| QTo | 0.699 | 2.444 | 1.705 | 1.431 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
By flop texture, A8s' equity runs from 51.51% on rainbow flops topped by a ten or better up to 74.96% on low rainbow flops (nine high or lower). A8s 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 | A8s wins | Ties | QTo wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 51.433 | 0.149 | 48.418 | 51.508 |
| Rainbow, nine or lower | 7.042 | 74.611 | 0.701 | 24.688 | 74.961 |
| Two-tone | 46.667 | 58.331 | 0.253 | 41.416 | 58.458 |
| Monotone | 5.212 | 54.478 | 2.358 | 43.164 | 55.657 |
| Paired | 17.091 | 64.319 | 0.624 | 35.057 | 64.631 |
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
Against one random hand instead, A8s holds 61.94% and QTo holds 57.29%. Facing each other changes that by -3.08 points for A8s and -16.15 points for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 58.862 | 61.944 | -3.082 | 0.95025 |
| A8s, rainbow, ten or higher | 51.508 | 61.944 | -10.436 | 0.83153 |
| A8s, rainbow, nine or lower | 74.961 | 61.944 | +13.017 | 1.21014 |
| A8s, two-tone | 58.458 | 61.944 | -3.486 | 0.94372 |
| A8s, monotone | 55.657 | 61.944 | -6.287 | 0.89851 |
| A8s, paired | 64.631 | 61.944 | +2.687 | 1.04338 |
| QTo, all flops | 41.138 | 57.291 | -16.153 | 0.71805 |
| QTo, rainbow, ten or higher | 48.492 | 57.291 | -8.799 | 0.84642 |
| QTo, rainbow, nine or lower | 25.039 | 57.291 | -32.252 | 0.43705 |
| QTo, two-tone | 41.542 | 57.291 | -15.749 | 0.72511 |
| QTo, monotone | 44.343 | 57.291 | -12.948 | 0.77400 |
| QTo, paired | 35.369 | 57.291 | -21.922 | 0.61736 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (A8s at 58.52%) and 24 do not (59.20%). A8s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | QTo wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.286 | 0.474 | 41.240 | 58.523 |
| No shared suit | 24 | 50.00 | 59.004 | 0.392 | 40.604 | 59.200 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A8s takes back $117.72 of it, which is $17.72 more than it put in, and QTo takes back $82.28, $17.72 less than it put in.
Think in thousands: about 587 of 1,000 go to A8s, about 409 go to QTo, and about 4 are chopped.
The same matchup from the other side
The reversed view, QTo against A8s, shows 41.14% for QTo and 58.86% for A8s. It is the same count, so it redirects here.
Keep exploring
As8s against QhTd 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 48 deals of A8s against QTo 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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