A6s
69.18%
Wins 67.91%, ties 2.54%
64s
30.82%
Wins 29.55%, ties 2.54%
A6s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 67.908 | 2.544 | 29.548 | 69.180 |
| 64s | 29.548 | 2.544 | 67.908 | 30.820 |
The matchup is suited hands on both sides, A6s against 64s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 38.36 points is large but not decisive: 64s still takes about 296 of every 1,000 deals. A split pot comes up on 2.54% of boards, so the wins and the equity differ by half of that.
The hand ranking puts A6s at 31 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 13,953,000 | 523,000 | 6,071,000 |
| 64s | 6,071,000 | 523,000 | 13,953,000 |
12 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) |
|---|---|---|---|---|
| A6s | 2.245 | 1.473 | 3.384 | 0.446 |
| 64s | 0.446 | 3.384 | 1.473 | 2.245 |
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
Break the boards down by their first three cards and A6s is strongest on paired flops (74.17%) and weakest on low rainbow flops (nine high or lower) (51.53%). A6s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A6s wins | Ties | 64s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 73.276 | 1.501 | 25.223 | 74.026 |
| Rainbow, nine or lower | 5.654 | 47.703 | 7.649 | 44.648 | 51.527 |
| Two-tone | 46.543 | 66.418 | 2.266 | 31.316 | 67.551 |
| Monotone | 5.215 | 60.525 | 4.550 | 34.925 | 62.800 |
| Paired | 17.334 | 72.898 | 2.544 | 24.558 | 74.170 |
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, A6s holds 59.91% and 64s holds 41.33%. Facing each other changes that by +9.27 points for A6s and -10.51 points for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 69.180 | 59.906 | +9.274 | 1.15481 |
| A6s, rainbow, ten or higher | 74.026 | 59.906 | +14.120 | 1.23570 |
| A6s, rainbow, nine or lower | 51.527 | 59.906 | -8.379 | 0.86013 |
| A6s, two-tone | 67.551 | 59.906 | +7.645 | 1.12762 |
| A6s, monotone | 62.800 | 59.906 | +2.894 | 1.04831 |
| A6s, paired | 74.170 | 59.906 | +14.264 | 1.23811 |
| 64s, all flops | 30.820 | 41.333 | -10.513 | 0.74565 |
| 64s, rainbow, ten or higher | 25.974 | 41.333 | -15.359 | 0.62841 |
| 64s, rainbow, nine or lower | 48.473 | 41.333 | +7.140 | 1.17274 |
| 64s, two-tone | 32.449 | 41.333 | -8.884 | 0.78506 |
| 64s, monotone | 37.200 | 41.333 | -4.133 | 0.90001 |
| 64s, paired | 25.830 | 41.333 | -15.503 | 0.62492 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so A6s' 69.18% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 64s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.908 | 2.544 | 29.548 | 69.180 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A6s takes back $138.36 of it, which is $38.36 more than it put in, and 64s takes back $61.64, $38.36 less than it put in.
A thousand deals look like this: A6s takes 679, 64s takes 296, 25 are ties.
The same matchup from the other side
If you came looking for 64s against A6s, the numbers are the same with the hands swapped: 30.82% and 69.18%.
Keep exploring
Try As6s against 6h4h 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
Nothing here is simulated. The 12 deals of A6s against 64s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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