A9o
57.00%
Wins 56.79%, ties 0.43%
QJo
43.00%
Wins 42.78%, ties 0.43%
A9o against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 56.787 | 0.430 | 42.783 | 57.002 |
| QJo | 42.783 | 0.430 | 56.787 | 42.998 |
Both hands are offsuit hands: A9o and QJo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.43% of the boards, and both equity figures count them as half a win each.
A9o ranks number 25 of 169 starting hands, and QJo ranks number 39, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 140,021,000 | 1,060,000 | 105,491,000 |
| QJo | 105,491,000 | 1,060,000 | 140,021,000 |
144 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) |
|---|---|---|---|---|
| A9o | 1.326 | 1.761 | 2.337 | 0.754 |
| QJo | 0.754 | 2.337 | 1.761 | 1.326 |
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
Split by what the flop looks like, A9o peaks at 74.70% on low rainbow flops (nine high or lower) and bottoms out at 50.37% on rainbow flops topped by a ten or better. A9o 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 | A9o wins | Ties | QJo wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 50.305 | 0.121 | 49.574 | 50.366 |
| Rainbow, nine or lower | 7.042 | 74.215 | 0.971 | 24.814 | 74.700 |
| Two-tone | 46.606 | 55.580 | 0.300 | 44.120 | 55.730 |
| Monotone | 5.151 | 53.658 | 1.690 | 44.652 | 54.503 |
| Paired | 17.091 | 62.986 | 0.616 | 36.398 | 63.294 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A9o from 60.77% by -3.77 points and QJo from 58.14% by -15.14 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 57.002 | 60.773 | -3.771 | 0.93795 |
| A9o, rainbow, ten or higher | 50.366 | 60.773 | -10.407 | 0.82876 |
| A9o, rainbow, nine or lower | 74.700 | 60.773 | +13.927 | 1.22916 |
| A9o, two-tone | 55.730 | 60.773 | -5.043 | 0.91702 |
| A9o, monotone | 54.503 | 60.773 | -6.270 | 0.89683 |
| A9o, paired | 63.294 | 60.773 | +2.521 | 1.04148 |
| QJo, all flops | 42.998 | 58.135 | -15.137 | 0.73962 |
| QJo, rainbow, ten or higher | 49.634 | 58.135 | -8.501 | 0.85377 |
| QJo, rainbow, nine or lower | 25.300 | 58.135 | -32.835 | 0.43519 |
| QJo, two-tone | 44.270 | 58.135 | -13.865 | 0.76150 |
| QJo, monotone | 45.497 | 58.135 | -12.638 | 0.78261 |
| QJo, paired | 36.706 | 58.135 | -21.429 | 0.63139 |
Does a shared suit matter?
Does suit overlap move the numbers? A9o has 57.01% when the hands share a suit and 56.96% when they do not. The two rows differ by only 0.05 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | A9o wins | Ties | QJo wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 56.787 | 0.446 | 42.767 | 57.010 |
| No shared suit | 24 | 16.67 | 56.787 | 0.351 | 42.862 | 56.963 |
How often this matchup comes up
This page stands for 144 specific-card matchups (0.0089% of 1,624,350 ordered deals), or 288 once you count the seats both ways (0.0177%).
A worked example
Put $100 each into a $200 pot and deal every board once: A9o averages $114.00 back, ahead of its $100 by $14.00, while QJo averages $86.00, short of its $100 by $14.00.
Think in thousands: about 568 of 1,000 go to A9o, about 428 go to QJo, and about 4 are chopped.
The same matchup from the other side
The reversed view, QJo against A9o, shows 43.00% for QJo and 57.00% for A9o. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As9h against QdJc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 144 specific A9o against QJo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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