ATo
59.29%
Wins 59.06%, ties 0.46%
65s
40.71%
Wins 40.48%, ties 0.46%
ATo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 59.062 | 0.463 | 40.475 | 59.294 |
| 65s | 40.475 | 0.463 | 59.062 | 40.706 |
ATo, an offsuit hand, plays 65s, 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: 0.46% of boards end in a split pot, and each side counts that as half a win.
For context, ATo sits at number 19 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 48,543,000 | 381,000 | 33,267,000 |
| 65s | 33,267,000 | 381,000 | 48,543,000 |
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) |
|---|---|---|---|---|
| ATo | 1.457 | 1.693 | 2.471 | 0.687 |
| 65s | 0.687 | 2.471 | 1.693 | 1.457 |
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. ATo does best on rainbow flops topped by a ten or better, at 67.70%, and worst on low rainbow flops (nine high or lower), at 31.69%. Watch for low rainbow flops (nine high or lower): on those flops 65s holds the better equity.
| Flop | Share of flops | ATo wins | Ties | 65s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.599 | 0.203 | 32.198 | 67.700 |
| Rainbow, nine or lower | 6.313 | 31.347 | 0.677 | 67.976 | 31.686 |
| Two-tone | 46.667 | 57.501 | 0.281 | 42.218 | 57.641 |
| Monotone | 5.212 | 56.536 | 2.411 | 41.053 | 57.742 |
| Paired | 17.091 | 61.988 | 0.661 | 37.351 | 62.318 |
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, ATo holds 62.72% and 65s holds 43.13%. Facing each other changes that by -3.43 points for ATo and -2.42 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 59.294 | 62.722 | -3.428 | 0.94535 |
| ATo, rainbow, ten or higher | 67.700 | 62.722 | +4.978 | 1.07937 |
| ATo, rainbow, nine or lower | 31.686 | 62.722 | -31.036 | 0.50518 |
| ATo, two-tone | 57.641 | 62.722 | -5.081 | 0.91899 |
| ATo, monotone | 57.742 | 62.722 | -4.980 | 0.92060 |
| ATo, paired | 62.318 | 62.722 | -0.404 | 0.99356 |
| 65s, all flops | 40.706 | 43.133 | -2.427 | 0.94373 |
| 65s, rainbow, ten or higher | 32.300 | 43.133 | -10.833 | 0.74885 |
| 65s, rainbow, nine or lower | 68.314 | 43.133 | +25.181 | 1.58380 |
| 65s, two-tone | 42.359 | 43.133 | -0.774 | 0.98206 |
| 65s, monotone | 42.258 | 43.133 | -0.875 | 0.97971 |
| 65s, paired | 37.682 | 43.133 | -5.451 | 0.87362 |
Does a shared suit matter?
When the hands share a suit, ATo holds 59.99%; when they do not, it holds 58.60%. ATo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 65s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.734 | 0.504 | 39.762 | 59.986 |
| No shared suit | 24 | 50.00 | 58.391 | 0.421 | 41.188 | 58.602 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Put $100 each into a $200 pot and deal every board once: ATo averages $118.58 back, ahead of its $100 by $18.58, while 65s averages $81.42, short of its $100 by $18.58.
Out of 1,000 deals you should see around 590 outright wins for ATo, 405 for 65s, and 5 split pots.
The same matchup from the other side
The reversed view, 65s against ATo, shows 40.71% for 65s and 59.29% for ATo. It is the same count, so it redirects here.
Keep exploring
Try AsTh against 6d5d 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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