A9o
60.01%
Wins 59.78%, ties 0.47%
64s
39.99%
Wins 39.75%, ties 0.47%
A9o against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 59.777 | 0.473 | 39.750 | 60.014 |
| 64s | 39.750 | 0.473 | 59.777 | 39.986 |
We compare an offsuit hand with a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.47%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts A9o at 25 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 49,131,000 | 389,000 | 32,671,000 |
| 64s | 32,671,000 | 389,000 | 49,131,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A9o | 1.501 | 1.673 | 2.516 | 0.666 |
| 64s | 0.666 | 2.516 | 1.673 | 1.501 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: A9o holds 64.97% on rainbow flops topped by a ten or better and 44.03% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though A9o is ahead overall.
| Flop | Share of flops | A9o wins | Ties | 64s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.859 | 0.213 | 34.928 | 64.966 |
| Rainbow, nine or lower | 5.689 | 43.653 | 0.755 | 55.592 | 44.030 |
| Two-tone | 46.667 | 58.178 | 0.291 | 41.531 | 58.323 |
| Monotone | 5.212 | 57.045 | 2.418 | 40.537 | 58.254 |
| Paired | 17.091 | 62.809 | 0.669 | 36.522 | 63.144 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Start from the random-hand figures, 60.77% for A9o and 41.33% for 64s. This opponent changes them by -0.76 and -1.34 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 60.014 | 60.773 | -0.759 | 0.98751 |
| A9o, rainbow, ten or higher | 64.966 | 60.773 | +4.193 | 1.06899 |
| A9o, rainbow, nine or lower | 44.030 | 60.773 | -16.743 | 0.72450 |
| A9o, two-tone | 58.323 | 60.773 | -2.450 | 0.95969 |
| A9o, monotone | 58.254 | 60.773 | -2.519 | 0.95855 |
| A9o, paired | 63.144 | 60.773 | +2.371 | 1.03901 |
| 64s, all flops | 39.986 | 41.333 | -1.347 | 0.96741 |
| 64s, rainbow, ten or higher | 35.034 | 41.333 | -6.299 | 0.84760 |
| 64s, rainbow, nine or lower | 55.970 | 41.333 | +14.637 | 1.35412 |
| 64s, two-tone | 41.677 | 41.333 | +0.344 | 1.00832 |
| 64s, monotone | 41.746 | 41.333 | +0.413 | 1.00999 |
| 64s, paired | 36.856 | 41.333 | -4.477 | 0.89168 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A9o has 60.72%; looking only at deals where they do not, 59.31%. A9o does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 64s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.463 | 0.514 | 39.023 | 60.720 |
| No shared suit | 24 | 50.00 | 59.091 | 0.432 | 40.477 | 59.307 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. A9o is worth $120.02 on average (+$20.02); 64s is worth $79.98 (-$20.02).
A thousand deals look like this: A9o takes 598, 64s takes 397, 5 are ties.
The same matchup from the other side
The reversed view, 64s against A9o, shows 39.99% for 64s and 60.01% for A9o. It is the same count, so it redirects here.
Keep exploring
As9h against 6d4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
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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