A4s
68.17%
Wins 67.29%, ties 1.77%
64s
31.83%
Wins 30.94%, ties 1.77%
A4s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 67.286 | 1.773 | 30.941 | 68.173 |
| 64s | 30.941 | 1.773 | 67.286 | 31.827 |
A4s and 64s are both suited hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 36.34 points is large but not decisive: 64s still takes about 309 of every 1,000 deals. The tie share is 1.77%: on those boards the pot is chopped and neither hand wins outright.
A4s ranks number 35 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 |
|---|---|---|---|
| A4s | 13,826,000 | 364,000 | 6,358,000 |
| 64s | 6,358,000 | 364,000 | 13,826,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A4s | 2.142 | 1.486 | 3.232 | 0.467 |
| 64s | 0.467 | 3.232 | 1.486 | 2.142 |
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. A4s does best on rainbow flops topped by a ten or better, at 73.34%, and worst on low rainbow flops (nine high or lower), at 49.20%. The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though A4s is ahead overall.
| Flop | Share of flops | A4s wins | Ties | 64s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.899 | 0.881 | 26.220 | 73.339 |
| Rainbow, nine or lower | 5.654 | 46.656 | 5.083 | 48.261 | 49.198 |
| Two-tone | 46.543 | 65.904 | 1.444 | 32.652 | 66.626 |
| Monotone | 5.215 | 59.976 | 4.016 | 36.008 | 61.984 |
| Paired | 17.334 | 71.751 | 2.199 | 26.050 | 72.851 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A4s from 59.03% by +9.14 points and 64s from 41.33% by -9.50 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 68.173 | 59.034 | +9.139 | 1.15481 |
| A4s, rainbow, ten or higher | 73.339 | 59.034 | +14.305 | 1.24232 |
| A4s, rainbow, nine or lower | 49.198 | 59.034 | -9.836 | 0.83338 |
| A4s, two-tone | 66.626 | 59.034 | +7.592 | 1.12860 |
| A4s, monotone | 61.984 | 59.034 | +2.950 | 1.04997 |
| A4s, paired | 72.851 | 59.034 | +13.817 | 1.23405 |
| 64s, all flops | 31.827 | 41.333 | -9.506 | 0.77001 |
| 64s, rainbow, ten or higher | 26.661 | 41.333 | -14.672 | 0.64503 |
| 64s, rainbow, nine or lower | 50.802 | 41.333 | +9.469 | 1.22909 |
| 64s, two-tone | 33.374 | 41.333 | -7.959 | 0.80744 |
| 64s, monotone | 38.016 | 41.333 | -3.317 | 0.91975 |
| 64s, paired | 27.149 | 41.333 | -14.184 | 0.65684 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so A4s' 68.17% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | A4s wins | Ties | 64s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.286 | 1.773 | 30.941 | 68.173 |
How often this matchup comes up
Counting specific cards, A4s against 64s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
With $100 from each side, the $200 pot is split on average as $136.34 for A4s and $63.66 for 64s; the first side gains $36.34 per all-in and the second gives up $36.34.
Per 1,000 deals: A4s wins about 673, 64s wins about 309, and about 18 end in a split pot.
The same matchup from the other side
64s against A4s adds nothing new: it is 31.83% for 64s and 68.17% for A4s, the same figures reversed.
Keep exploring
Open the calculator with As4s against 6h4h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 12 specific A4s 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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