ATs
61.87%
Wins 61.62%, ties 0.51%
65s
38.13%
Wins 37.87%, ties 0.51%
ATs against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 61.615 | 0.509 | 37.876 | 61.870 |
| 65s | 37.876 | 0.509 | 61.615 | 38.130 |
Two suited hands meet here: ATs against 65s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATs is ahead, but 65s is far from dead: it takes 379 of every 1,000 deals outright. The tie share is 0.51%: on those boards the pot is chopped and neither hand wins outright.
For context, ATs sits at number 13 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 |
|---|---|---|---|
| ATs | 16,881,000 | 139,000 | 10,377,000 |
| 65s | 10,377,000 | 139,000 | 16,881,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| ATs | 1.623 | 1.623 | 2.640 | 0.616 |
| 65s | 0.616 | 2.640 | 1.623 | 1.623 |
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. ATs does best on rainbow flops topped by a ten or better, at 69.03%, and worst on low rainbow flops (nine high or lower), at 34.22%. The overall edge for ATs hides low rainbow flops (nine high or lower), where 65s comes out in front.
| Flop | Share of flops | ATs wins | Ties | 65s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.935 | 0.197 | 30.868 | 69.033 |
| Rainbow, nine or lower | 6.314 | 33.890 | 0.650 | 65.460 | 34.215 |
| Two-tone | 46.727 | 61.017 | 0.265 | 38.718 | 61.149 |
| Monotone | 5.273 | 57.580 | 3.464 | 38.956 | 59.312 |
| Paired | 17.091 | 64.207 | 0.661 | 35.132 | 64.537 |
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
Each hand has a baseline against a random hand: 64.60% for ATs, 43.13% for 65s. Here the change is -2.73 and -5.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 61.870 | 64.602 | -2.732 | 0.95771 |
| ATs, rainbow, ten or higher | 69.033 | 64.602 | +4.431 | 1.06859 |
| ATs, rainbow, nine or lower | 34.215 | 64.602 | -30.387 | 0.52963 |
| ATs, two-tone | 61.149 | 64.602 | -3.453 | 0.94655 |
| ATs, monotone | 59.312 | 64.602 | -5.290 | 0.91811 |
| ATs, paired | 64.537 | 64.602 | -0.065 | 0.99899 |
| 65s, all flops | 38.130 | 43.133 | -5.003 | 0.88401 |
| 65s, rainbow, ten or higher | 30.967 | 43.133 | -12.166 | 0.71794 |
| 65s, rainbow, nine or lower | 65.785 | 43.133 | +22.652 | 1.52517 |
| 65s, two-tone | 38.851 | 43.133 | -4.282 | 0.90073 |
| 65s, monotone | 40.688 | 43.133 | -2.445 | 0.94331 |
| 65s, paired | 35.463 | 43.133 | -7.670 | 0.82218 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and ATs holds 64.04%. In 12 they do not, and it holds 61.15%. ATs does better with a shared suit, by 2.89 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 65s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.741 | 0.588 | 35.671 | 64.035 |
| No shared suit | 12 | 75.00 | 60.907 | 0.483 | 38.610 | 61.148 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are ATs in one seat and 65s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Put $100 each into a $200 pot and deal every board once: ATs averages $123.74 back, ahead of its $100 by $23.74, while 65s averages $76.26, short of its $100 by $23.74.
Run 1,000 deals and the tally comes out near 616 for ATs, 379 for 65s and 5 ties.
The same matchup from the other side
65s versus ATs is this same page seen from the other hand: 38.13% for 65s, 61.87% for ATs.
Keep exploring
Try AsTs against 6h5h 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
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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