A9s
61.20%
Wins 60.94%, ties 0.51%
65s
38.80%
Wins 38.55%, ties 0.51%
A9s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 60.940 | 0.512 | 38.548 | 61.196 |
| 65s | 38.548 | 0.512 | 60.940 | 38.804 |
This is a contest between two suited hands, A9s and 65s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 22.40 point lead is real, and 65s still takes about 386 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.
A9s ranks number 18 of 169 starting hands, and 65s ranks number 128, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 16,696,000 | 140,000 | 10,561,000 |
| 65s | 10,561,000 | 140,000 | 16,696,000 |
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 | 1.577 | 1.641 | 2.594 | 0.634 |
| 65s | 0.634 | 2.594 | 1.641 | 1.577 |
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
The flop changes the picture. A9s does best on rainbow flops topped by a ten or better, at 65.42%, and worst on low rainbow flops (nine high or lower), at 41.77%. 65s 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 | 65s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.314 | 0.210 | 34.476 | 65.419 |
| Rainbow, nine or lower | 5.689 | 41.435 | 0.670 | 57.895 | 41.770 |
| Two-tone | 46.727 | 60.231 | 0.268 | 39.501 | 60.365 |
| Monotone | 5.273 | 56.922 | 3.463 | 39.615 | 58.654 |
| Paired | 17.091 | 64.155 | 0.665 | 35.180 | 64.487 |
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
Compared with a random opponent, this matchup shifts A9s from 62.78% by -1.58 points and 65s from 43.13% by -4.33 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 61.196 | 62.781 | -1.585 | 0.97475 |
| A9s, rainbow, ten or higher | 65.419 | 62.781 | +2.638 | 1.04202 |
| A9s, rainbow, nine or lower | 41.770 | 62.781 | -21.011 | 0.66533 |
| A9s, two-tone | 60.365 | 62.781 | -2.416 | 0.96152 |
| A9s, monotone | 58.654 | 62.781 | -4.127 | 0.93426 |
| A9s, paired | 64.487 | 62.781 | +1.706 | 1.02717 |
| 65s, all flops | 38.804 | 43.133 | -4.329 | 0.89964 |
| 65s, rainbow, ten or higher | 34.581 | 43.133 | -8.552 | 0.80173 |
| 65s, rainbow, nine or lower | 58.230 | 43.133 | +15.097 | 1.35001 |
| 65s, two-tone | 39.635 | 43.133 | -3.498 | 0.91890 |
| 65s, monotone | 41.346 | 43.133 | -1.787 | 0.95857 |
| 65s, paired | 35.513 | 43.133 | -7.620 | 0.82334 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A9s has 63.33% equity, and with none in common it has 60.49%. A9s does better with a shared suit, by 2.84 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 65s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.034 | 0.590 | 36.376 | 63.329 |
| No shared suit | 12 | 75.00 | 60.242 | 0.486 | 39.272 | 60.485 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A9s gets $122.40 of it on average and 65s gets $77.60.
Per 1,000 deals: A9s wins about 609, 65s wins about 386, and about 5 end in a split pot.
The same matchup from the other side
Swap the hands and you get 65s with 38.80% against A9s with 61.20%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
As9s against 6h5h 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
We counted every case. Each suit pattern of the 16 specific A9s against 65s 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session