A9o
58.61%
Wins 58.37%, ties 0.47%
65s
41.39%
Wins 41.16%, ties 0.47%
A9o against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 58.373 | 0.465 | 41.162 | 58.606 |
| 65s | 41.162 | 0.465 | 58.373 | 41.394 |
One side is an offsuit hand, the other is 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 65s is far from dead: it takes 411 of every 1,000 deals outright. The tie share is 0.47%: on those boards the pot is chopped and neither hand wins outright.
A9o ranks number 25 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 |
|---|---|---|---|
| A9o | 47,977,000 | 382,000 | 33,831,000 |
| 65s | 33,831,000 | 382,000 | 47,977,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 1.416 | 1.713 | 2.429 | 0.706 |
| 65s | 0.706 | 2.429 | 1.713 | 1.416 |
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
The flop changes the picture. A9o does best on rainbow flops topped by a ten or better, at 63.95%, and worst on low rainbow flops (nine high or lower), at 39.64%. Low rainbow flops (nine high or lower) favor 65s, the hand that is behind overall.
| Flop | Share of flops | A9o wins | Ties | 65s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 63.843 | 0.213 | 35.944 | 63.950 |
| Rainbow, nine or lower | 5.689 | 39.287 | 0.698 | 60.015 | 39.636 |
| Two-tone | 46.667 | 56.693 | 0.283 | 43.024 | 56.835 |
| Monotone | 5.212 | 55.936 | 2.412 | 41.652 | 57.142 |
| Paired | 17.091 | 61.946 | 0.665 | 37.389 | 62.279 |
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
The table below sets each hand against its own random-hand baseline: a change of -2.16 points for A9o, from 60.77%, and -1.74 for 65s, from 43.13%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 58.606 | 60.773 | -2.167 | 0.96434 |
| A9o, rainbow, ten or higher | 63.950 | 60.773 | +3.177 | 1.05228 |
| A9o, rainbow, nine or lower | 39.636 | 60.773 | -21.137 | 0.65220 |
| A9o, two-tone | 56.835 | 60.773 | -3.938 | 0.93520 |
| A9o, monotone | 57.142 | 60.773 | -3.631 | 0.94025 |
| A9o, paired | 62.279 | 60.773 | +1.506 | 1.02478 |
| 65s, all flops | 41.394 | 43.133 | -1.739 | 0.95968 |
| 65s, rainbow, ten or higher | 36.050 | 43.133 | -7.083 | 0.83579 |
| 65s, rainbow, nine or lower | 60.364 | 43.133 | +17.231 | 1.39949 |
| 65s, two-tone | 43.165 | 43.133 | +0.032 | 1.00074 |
| 65s, monotone | 42.858 | 43.133 | -0.275 | 0.99362 |
| 65s, paired | 37.721 | 43.133 | -5.412 | 0.87453 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A9o holds 59.28%. In 24 they do not, and it holds 57.94%. A9o does better with a shared suit, by 1.34 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 65s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.022 | 0.506 | 40.472 | 59.275 |
| No shared suit | 24 | 50.00 | 57.724 | 0.424 | 41.852 | 57.936 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A9o in one seat and 65s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9o's average share is $117.22 (a gain of $17.22) and 65s' is $82.78 (a loss of $17.22).
Run 1,000 deals and the tally comes out near 584 for A9o, 411 for 65s and 5 ties.
The same matchup from the other side
65s against A9o adds nothing new: it is 41.39% for 65s and 58.61% for A9o, the same figures reversed.
Keep exploring
The calculator link fills in As9h against 6d5d, 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
Method: exact enumeration. The 48 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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