A9o
53.72%
Wins 53.49%, ties 0.45%
QJs
46.28%
Wins 46.06%, ties 0.45%
A9o against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 53.494 | 0.450 | 46.056 | 53.719 |
| QJs | 46.056 | 0.450 | 53.494 | 46.281 |
Here an offsuit hand (A9o) meets a suited hand (QJs). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A9o leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.45% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, A9o is number 25 and QJs is number 28 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 43,967,000 | 370,000 | 37,854,000 |
| QJs | 37,854,000 | 370,000 | 43,967,000 |
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) |
|---|---|---|---|---|
| A9o | 1.161 | 1.869 | 2.171 | 0.862 |
| QJs | 0.862 | 2.171 | 1.869 | 1.161 |
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
A9o prefers low rainbow flops (nine high or lower), where it holds 71.78%, and likes rainbow flops topped by a ten or better least, where it holds 48.83%. Watch for rainbow flops topped by a ten or better: on those flops QJs holds the better equity.
| Flop | Share of flops | A9o wins | Ties | QJs wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 48.770 | 0.116 | 51.114 | 48.828 |
| Rainbow, nine or lower | 7.042 | 71.313 | 0.926 | 27.761 | 71.776 |
| Two-tone | 46.667 | 51.346 | 0.274 | 48.380 | 51.483 |
| Monotone | 5.212 | 50.719 | 2.372 | 46.909 | 51.905 |
| Paired | 17.091 | 59.492 | 0.616 | 39.892 | 59.800 |
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
The table below sets each hand against its own random-hand baseline: a change of -7.05 points for A9o, from 60.77%, and -13.98 for QJs, from 60.26%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 53.719 | 60.773 | -7.054 | 0.88393 |
| A9o, rainbow, ten or higher | 48.828 | 60.773 | -11.945 | 0.80345 |
| A9o, rainbow, nine or lower | 71.776 | 60.773 | +11.003 | 1.18105 |
| A9o, two-tone | 51.483 | 60.773 | -9.290 | 0.84714 |
| A9o, monotone | 51.905 | 60.773 | -8.868 | 0.85408 |
| A9o, paired | 59.800 | 60.773 | -0.973 | 0.98399 |
| QJs, all flops | 46.281 | 60.259 | -13.978 | 0.76803 |
| QJs, rainbow, ten or higher | 51.172 | 60.259 | -9.087 | 0.84920 |
| QJs, rainbow, nine or lower | 28.224 | 60.259 | -32.035 | 0.46838 |
| QJs, two-tone | 48.517 | 60.259 | -11.742 | 0.80514 |
| QJs, monotone | 48.095 | 60.259 | -12.164 | 0.79814 |
| QJs, paired | 40.200 | 60.259 | -20.059 | 0.66712 |
Does a shared suit matter?
Split by suits, the deals give A9o 54.16% when the hands overlap in a suit and 53.28% when they do not. A9o does better with a shared suit, by 0.88 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | QJs wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 53.913 | 0.491 | 45.596 | 54.158 |
| No shared suit | 24 | 50.00 | 53.074 | 0.409 | 46.517 | 53.279 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says A9o gets $107.44 of it on average and QJs gets $92.56.
Out of 1,000 deals you should see around 535 outright wins for A9o, 461 for QJs, and 4 split pots.
The same matchup from the other side
QJs against A9o adds nothing new: it is 46.28% for QJs and 53.72% for A9o, the same figures reversed.
Keep exploring
Try As9h against QdJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of A9o against QJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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