A5s
58.33%
Wins 58.09%, ties 0.47%
QTo
41.67%
Wins 41.44%, ties 0.47%
A5s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 58.094 | 0.470 | 41.436 | 58.329 |
| QTo | 41.436 | 0.470 | 58.094 | 41.671 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 16.66 point lead is real, and QTo still takes about 414 of every 1,000 deals outright. About 0.47% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A5s at 30 and QTo at 47 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 47,748,000 | 386,000 | 34,056,000 |
| QTo | 34,056,000 | 386,000 | 47,748,000 |
The board total is exact, 48 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 | 1.400 | 1.721 | 2.413 | 0.714 |
| QTo | 0.714 | 2.413 | 1.721 | 1.400 |
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
A5s prefers low rainbow flops (nine high or lower), where it holds 74.52%, and likes rainbow flops topped by a ten or better least, where it holds 50.80%. A5s 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 | A5s wins | Ties | QTo wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.722 | 0.159 | 49.119 | 50.802 |
| Rainbow, nine or lower | 7.042 | 74.093 | 0.861 | 25.046 | 74.524 |
| Two-tone | 46.667 | 57.782 | 0.296 | 41.922 | 57.930 |
| Monotone | 5.212 | 54.164 | 2.392 | 43.444 | 55.360 |
| Paired | 17.091 | 63.897 | 0.636 | 35.467 | 64.215 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, A5s changes by -1.59 points (baseline 59.92%) and QTo by -15.62 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 58.329 | 59.923 | -1.594 | 0.97340 |
| A5s, rainbow, ten or higher | 50.802 | 59.923 | -9.121 | 0.84779 |
| A5s, rainbow, nine or lower | 74.524 | 59.923 | +14.601 | 1.24366 |
| A5s, two-tone | 57.930 | 59.923 | -1.993 | 0.96674 |
| A5s, monotone | 55.360 | 59.923 | -4.563 | 0.92385 |
| A5s, paired | 64.215 | 59.923 | +4.292 | 1.07163 |
| QTo, all flops | 41.671 | 57.291 | -15.620 | 0.72736 |
| QTo, rainbow, ten or higher | 49.198 | 57.291 | -8.093 | 0.85874 |
| QTo, rainbow, nine or lower | 25.476 | 57.291 | -31.815 | 0.44468 |
| QTo, two-tone | 42.070 | 57.291 | -15.221 | 0.73432 |
| QTo, monotone | 44.640 | 57.291 | -12.651 | 0.77918 |
| QTo, paired | 35.785 | 57.291 | -21.506 | 0.62462 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A5s has 57.98% equity, and with none in common it has 58.68%. A5s does better with no shared suit, by 0.70 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | QTo wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.723 | 0.512 | 41.765 | 57.979 |
| No shared suit | 24 | 50.00 | 58.465 | 0.428 | 41.107 | 58.679 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: A5s averages $116.66 back, ahead of its $100 by $16.66, while QTo averages $83.34, short of its $100 by $16.66.
Per 1,000 deals: A5s wins about 581, QTo wins about 414, and about 5 end in a split pot.
The same matchup from the other side
One page covers both views. From QTo's side the equity is 41.67%, and from A5s' side it is 58.33%.
Keep exploring
Try As5s against QhTd 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 48 deals of A5s 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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