AJs
62.82%
Wins 62.56%, ties 0.52%
64s
37.18%
Wins 36.92%, ties 0.52%
AJs against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.556 | 0.518 | 36.926 | 62.815 |
| 64s | 36.926 | 0.518 | 62.556 | 37.185 |
This is a contest between two suited hands, AJs and 64s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 25.64 point lead is real, and 64s still takes about 369 of every 1,000 deals outright. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, AJs is number 11 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,138,000 | 142,000 | 10,117,000 |
| 64s | 10,117,000 | 142,000 | 17,138,000 |
16 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) |
|---|---|---|---|---|
| AJs | 1.689 | 1.599 | 2.708 | 0.592 |
| 64s | 0.592 | 2.708 | 1.599 | 1.689 |
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
Split by what the flop looks like, AJs peaks at 69.97% on rainbow flops topped by a ten or better and bottoms out at 35.70% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 64s holds the better equity.
| Flop | Share of flops | AJs wins | Ties | 64s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.887 | 0.168 | 29.945 | 69.971 |
| Rainbow, nine or lower | 6.314 | 35.289 | 0.821 | 63.890 | 35.700 |
| Two-tone | 46.727 | 61.937 | 0.274 | 37.789 | 62.074 |
| Monotone | 5.273 | 58.258 | 3.473 | 38.269 | 59.994 |
| Paired | 17.091 | 65.099 | 0.661 | 34.240 | 65.430 |
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
Compared with a random opponent, this matchup shifts AJs from 65.39% by -2.57 points and 64s from 41.33% by -4.15 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 62.815 | 65.393 | -2.578 | 0.96058 |
| AJs, rainbow, ten or higher | 69.971 | 65.393 | +4.578 | 1.07001 |
| AJs, rainbow, nine or lower | 35.700 | 65.393 | -29.693 | 0.54593 |
| AJs, two-tone | 62.074 | 65.393 | -3.319 | 0.94925 |
| AJs, monotone | 59.994 | 65.393 | -5.399 | 0.91744 |
| AJs, paired | 65.430 | 65.393 | +0.037 | 1.00057 |
| 64s, all flops | 37.185 | 41.333 | -4.148 | 0.89964 |
| 64s, rainbow, ten or higher | 30.029 | 41.333 | -11.304 | 0.72651 |
| 64s, rainbow, nine or lower | 64.300 | 41.333 | +22.967 | 1.55566 |
| 64s, two-tone | 37.926 | 41.333 | -3.407 | 0.91757 |
| 64s, monotone | 40.006 | 41.333 | -1.327 | 0.96789 |
| 64s, paired | 34.570 | 41.333 | -6.763 | 0.83638 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AJs has 65.10%; looking only at deals where they do not, 62.05%. AJs does better with a shared suit, by 3.05 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 64s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.801 | 0.598 | 34.601 | 65.100 |
| No shared suit | 12 | 75.00 | 61.808 | 0.491 | 37.701 | 62.053 |
How often this matchup comes up
Counting specific cards, AJs against 64s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Take a $200 pot built from $100 each. AJs' equity of 62.82% is worth $125.64, a $25.64 edge, and 64s' 37.18% is worth $74.36, which is $25.64 under its stake.
Scaled to 1,000 deals, that is roughly 626 wins for AJs, 369 for 64s and 5 chopped pots.
The same matchup from the other side
Swap the hands and you get 64s with 37.18% against AJs with 62.82%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsJs against 6h4h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
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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