A9o
60.54%
Wins 60.28%, ties 0.52%
43s
39.46%
Wins 39.20%, ties 0.52%
A9o against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 60.283 | 0.521 | 39.196 | 60.543 |
| 43s | 39.196 | 0.521 | 60.283 | 39.457 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.52% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, A9o is number 25 and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 49,547,000 | 428,000 | 32,215,000 |
| 43s | 32,215,000 | 428,000 | 49,547,000 |
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 | 1.534 | 1.659 | 2.551 | 0.652 |
| 43s | 0.652 | 2.551 | 1.659 | 1.534 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
By flop texture, A9o's equity runs from 48.12% on low rainbow flops (nine high or lower) up to 64.68% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 43s is the one ahead.
| Flop | Share of flops | A9o wins | Ties | 43s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.557 | 0.243 | 35.200 | 64.678 |
| Rainbow, nine or lower | 5.689 | 47.665 | 0.910 | 51.425 | 48.120 |
| Two-tone | 46.667 | 58.615 | 0.338 | 41.047 | 58.784 |
| Monotone | 5.212 | 57.337 | 2.552 | 40.111 | 58.613 |
| Paired | 17.091 | 63.598 | 0.682 | 35.720 | 63.939 |
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
A random hand would give A9o 60.77% and 43s 38.64%. Against each other the change is -0.23 points for A9o and +0.82 for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 60.543 | 60.773 | -0.230 | 0.99622 |
| A9o, rainbow, ten or higher | 64.678 | 60.773 | +3.905 | 1.06426 |
| A9o, rainbow, nine or lower | 48.120 | 60.773 | -12.653 | 0.79180 |
| A9o, two-tone | 58.784 | 60.773 | -1.989 | 0.96727 |
| A9o, monotone | 58.613 | 60.773 | -2.160 | 0.96446 |
| A9o, paired | 63.939 | 60.773 | +3.166 | 1.05210 |
| 43s, all flops | 39.457 | 38.642 | +0.815 | 1.02109 |
| 43s, rainbow, ten or higher | 35.322 | 38.642 | -3.320 | 0.91408 |
| 43s, rainbow, nine or lower | 51.880 | 38.642 | +13.238 | 1.34258 |
| 43s, two-tone | 41.216 | 38.642 | +2.574 | 1.06661 |
| 43s, monotone | 41.387 | 38.642 | +2.745 | 1.07104 |
| 43s, paired | 36.061 | 38.642 | -2.581 | 0.93321 |
Does a shared suit matter?
When the hands share a suit, A9o holds 61.24%; when they do not, it holds 59.85%. A9o does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 43s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.962 | 0.558 | 38.480 | 61.241 |
| No shared suit | 24 | 50.00 | 59.603 | 0.484 | 39.913 | 59.845 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. A9o is worth $121.08 on average (+$21.08); 43s is worth $78.92 (-$21.08).
Run 1,000 deals and the tally comes out near 603 for A9o, 392 for 43s and 5 ties.
The same matchup from the other side
Read it from the other side: 43s against A9o is the same matchup with the numbers swapped, so 43s holds 39.46% and A9o holds 60.54%. That address sends you back to this page.
Keep exploring
Try As9h against 4d3d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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