A9s
62.57%
Wins 62.31%, ties 0.52%
64s
37.43%
Wins 37.17%, ties 0.52%
A9s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 62.307 | 0.520 | 37.173 | 62.567 |
| 64s | 37.173 | 0.520 | 62.307 | 37.433 |
This is a contest between two suited hands, A9s and 64s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 25.14 point lead is real, and 64s still takes about 372 of every 1,000 deals outright. The tie share is 0.52%: on those boards the pot is chopped and neither hand wins outright.
Place 18 of 169 belongs to A9s and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 17,070,000 | 142,000 | 10,184,000 |
| 64s | 10,184,000 | 142,000 | 17,070,000 |
16 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) |
|---|---|---|---|---|
| A9s | 1.671 | 1.605 | 2.690 | 0.598 |
| 64s | 0.598 | 2.690 | 1.605 | 1.671 |
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
The flop changes the picture. A9s does best on rainbow flops topped by a ten or better, at 66.41%, and worst on low rainbow flops (nine high or lower), at 46.08%. 64s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A9s wins | Ties | 64s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.304 | 0.210 | 33.486 | 66.409 |
| Rainbow, nine or lower | 5.689 | 45.714 | 0.726 | 53.560 | 46.077 |
| Two-tone | 46.727 | 61.667 | 0.275 | 38.058 | 61.805 |
| Monotone | 5.273 | 58.056 | 3.472 | 38.472 | 59.792 |
| Paired | 17.091 | 64.994 | 0.670 | 34.336 | 65.329 |
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
Against one random hand instead, A9s holds 62.78% and 64s holds 41.33%. Facing each other changes that by -0.21 points for A9s and -3.90 points for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 62.567 | 62.781 | -0.214 | 0.99659 |
| A9s, rainbow, ten or higher | 66.409 | 62.781 | +3.628 | 1.05779 |
| A9s, rainbow, nine or lower | 46.077 | 62.781 | -16.704 | 0.73393 |
| A9s, two-tone | 61.805 | 62.781 | -0.976 | 0.98445 |
| A9s, monotone | 59.792 | 62.781 | -2.989 | 0.95239 |
| A9s, paired | 65.329 | 62.781 | +2.548 | 1.04059 |
| 64s, all flops | 37.433 | 41.333 | -3.900 | 0.90564 |
| 64s, rainbow, ten or higher | 33.591 | 41.333 | -7.742 | 0.81269 |
| 64s, rainbow, nine or lower | 53.923 | 41.333 | +12.590 | 1.30460 |
| 64s, two-tone | 38.195 | 41.333 | -3.138 | 0.92408 |
| 64s, monotone | 40.208 | 41.333 | -1.125 | 0.97278 |
| 64s, paired | 34.671 | 41.333 | -6.662 | 0.83882 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A9s has 64.83% equity, and with none in common it has 61.81%. A9s does better with a shared suit, by 3.02 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 64s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.528 | 0.599 | 34.873 | 64.828 |
| No shared suit | 12 | 75.00 | 61.567 | 0.494 | 37.939 | 61.814 |
How often this matchup comes up
A9s against 64s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Take a $200 pot built from $100 each. A9s' equity of 62.57% is worth $125.14, a $25.14 edge, and 64s' 37.43% is worth $74.86, which is $25.14 under its stake.
Out of 1,000 deals you should see around 623 outright wins for A9s, 372 for 64s, and 5 split pots.
The same matchup from the other side
If you came looking for 64s against A9s, the numbers are the same with the hands swapped: 37.43% and 62.57%.
Keep exploring
Open the calculator with As9s against 6h4h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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