A9o
59.11%
Wins 58.85%, ties 0.51%
54s
40.89%
Wins 40.64%, ties 0.51%
A9o against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 58.852 | 0.508 | 40.640 | 59.106 |
| 54s | 40.640 | 0.508 | 58.852 | 40.894 |
The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A9o is ahead, but 54s is far from dead: it takes 406 of every 1,000 deals outright. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
The hand ranking puts A9o at 25 and 54s at 136 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 48,371,000 | 418,000 | 33,402,000 |
| 54s | 33,402,000 | 418,000 | 48,371,000 |
48 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 | 1.445 | 1.699 | 2.461 | 0.692 |
| 54s | 0.692 | 2.461 | 1.699 | 1.445 |
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 A9o's equity moves by 19.20 points, from 44.37% on low rainbow flops (nine high or lower) to 63.57% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) favor 54s, the hand that is behind overall.
| Flop | Share of flops | A9o wins | Ties | 54s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 63.447 | 0.243 | 36.310 | 63.568 |
| Rainbow, nine or lower | 5.689 | 43.950 | 0.844 | 55.206 | 44.372 |
| Two-tone | 46.667 | 57.179 | 0.329 | 42.492 | 57.343 |
| Monotone | 5.212 | 56.288 | 2.480 | 41.232 | 57.528 |
| Paired | 17.091 | 62.354 | 0.674 | 36.972 | 62.691 |
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
Start from the random-hand figures, 60.77% for A9o and 41.45% for 54s. This opponent changes them by -1.66 and -0.56 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 59.106 | 60.773 | -1.667 | 0.97257 |
| A9o, rainbow, ten or higher | 63.568 | 60.773 | +2.795 | 1.04599 |
| A9o, rainbow, nine or lower | 44.372 | 60.773 | -16.401 | 0.73013 |
| A9o, two-tone | 57.343 | 60.773 | -3.430 | 0.94356 |
| A9o, monotone | 57.528 | 60.773 | -3.245 | 0.94660 |
| A9o, paired | 62.691 | 60.773 | +1.918 | 1.03156 |
| 54s, all flops | 40.894 | 41.453 | -0.559 | 0.98651 |
| 54s, rainbow, ten or higher | 36.432 | 41.453 | -5.021 | 0.87887 |
| 54s, rainbow, nine or lower | 55.628 | 41.453 | +14.175 | 1.34195 |
| 54s, two-tone | 42.657 | 41.453 | +1.204 | 1.02904 |
| 54s, monotone | 42.472 | 41.453 | +1.019 | 1.02458 |
| 54s, paired | 37.309 | 41.453 | -4.144 | 0.90003 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A9o holds 59.78%. In 24 they do not, and it holds 58.43%. A9o does better with a shared suit, by 1.35 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 54s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.506 | 0.548 | 39.946 | 59.780 |
| No shared suit | 24 | 50.00 | 58.199 | 0.468 | 41.333 | 58.433 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A9o is worth $118.22 on average (+$18.22); 54s is worth $81.78 (-$18.22).
Per 1,000 deals: A9o wins about 589, 54s wins about 406, and about 5 end in a split pot.
The same matchup from the other side
The reversed view, 54s against A9o, shows 40.89% for 54s and 59.11% for A9o. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As9h against 5d4d, 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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