ATo
60.25%
Wins 60.02%, ties 0.46%
64s
39.75%
Wins 39.52%, ties 0.46%
ATo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.021 | 0.464 | 39.515 | 60.253 |
| 64s | 39.515 | 0.464 | 60.021 | 39.747 |
The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATo is ahead, but 64s is far from dead: it takes 395 of every 1,000 deals outright. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.
ATo ranks number 19 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 49,332,000 | 381,000 | 32,478,000 |
| 64s | 32,478,000 | 381,000 | 49,332,000 |
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 | 1.516 | 1.666 | 2.531 | 0.660 |
| 64s | 0.660 | 2.531 | 1.666 | 1.516 |
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 68.41%, and worst on low rainbow flops (nine high or lower), at 34.02%. Low rainbow flops (nine high or lower) favor 64s, the hand that is behind overall.
| Flop | Share of flops | ATo wins | Ties | 64s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.305 | 0.203 | 31.492 | 68.406 |
| Rainbow, nine or lower | 6.313 | 33.679 | 0.677 | 65.644 | 34.018 |
| Two-tone | 46.667 | 58.447 | 0.281 | 41.272 | 58.588 |
| Monotone | 5.212 | 57.242 | 2.415 | 40.343 | 58.450 |
| Paired | 17.091 | 62.917 | 0.665 | 36.418 | 63.249 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -2.47 points for ATo, from 62.72%, and -1.58 for 64s, from 41.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.253 | 62.722 | -2.469 | 0.96064 |
| ATo, rainbow, ten or higher | 68.406 | 62.722 | +5.684 | 1.09062 |
| ATo, rainbow, nine or lower | 34.018 | 62.722 | -28.704 | 0.54236 |
| ATo, two-tone | 58.588 | 62.722 | -4.134 | 0.93409 |
| ATo, monotone | 58.450 | 62.722 | -4.272 | 0.93189 |
| ATo, paired | 63.249 | 62.722 | +0.527 | 1.00840 |
| 64s, all flops | 39.747 | 41.333 | -1.586 | 0.96163 |
| 64s, rainbow, ten or higher | 31.594 | 41.333 | -9.739 | 0.76438 |
| 64s, rainbow, nine or lower | 65.982 | 41.333 | +24.649 | 1.59635 |
| 64s, two-tone | 41.412 | 41.333 | +0.079 | 1.00191 |
| 64s, monotone | 41.550 | 41.333 | +0.217 | 1.00525 |
| 64s, paired | 36.751 | 41.333 | -4.582 | 0.88914 |
Does a shared suit matter?
Split by suits, the deals give ATo 60.96% when the hands overlap in a suit and 59.55% when they do not. ATo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 64s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.708 | 0.505 | 38.787 | 60.961 |
| No shared suit | 24 | 50.00 | 59.334 | 0.422 | 40.244 | 59.545 |
How often this matchup comes up
ATo against 64s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Take a $200 pot built from $100 each. ATo's equity of 60.25% is worth $120.50, a $20.50 edge, and 64s' 39.75% is worth $79.50, which is $20.50 under its stake.
Run 1,000 deals and the tally comes out near 600 for ATo, 395 for 64s and 5 ties.
The same matchup from the other side
64s versus ATo is this same page seen from the other hand: 39.75% for 64s, 60.25% for ATo.
Keep exploring
Try AsTh against 6d4d 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
We counted every case. Each suit pattern of the 48 specific ATo against 64s 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.
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