A5s
61.04%
Wins 60.75%, ties 0.56%
64s
38.96%
Wins 38.69%, ties 0.56%
A5s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 60.754 | 0.563 | 38.683 | 61.035 |
| 64s | 38.683 | 0.563 | 60.754 | 38.965 |
A5s meets 64s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A5s is ahead, but 64s is far from dead: it takes 387 of every 1,000 deals outright. Split pots make up 0.56% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, A5s is number 30 and 64s is number 138 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 16,645,000 | 154,000 | 10,598,000 |
| 64s | 10,598,000 | 154,000 | 16,645,000 |
The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A5s | 1.566 | 1.646 | 2.585 | 0.638 |
| 64s | 0.638 | 2.585 | 1.646 | 1.566 |
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
Paired flops are the best for A5s (65.24%); low rainbow flops (nine high or lower) are the worst (44.16%). 64s is ahead on low rainbow flops (nine high or lower), even though it trails A5s when every flop is counted.
| Flop | Share of flops | A5s wins | Ties | 64s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 64.509 | 0.255 | 35.236 | 64.636 |
| Rainbow, nine or lower | 5.689 | 43.747 | 0.821 | 55.432 | 44.157 |
| Two-tone | 46.727 | 59.808 | 0.322 | 39.870 | 59.969 |
| Monotone | 5.273 | 56.103 | 3.504 | 40.393 | 57.855 |
| Paired | 17.091 | 64.894 | 0.686 | 34.420 | 65.237 |
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
A random hand would give A5s 59.92% and 64s 41.33%. Against each other the change is +1.12 points for A5s and -2.37 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 61.035 | 59.923 | +1.112 | 1.01856 |
| A5s, rainbow, ten or higher | 64.636 | 59.923 | +4.713 | 1.07865 |
| A5s, rainbow, nine or lower | 44.157 | 59.923 | -15.766 | 0.73690 |
| A5s, two-tone | 59.969 | 59.923 | +0.046 | 1.00077 |
| A5s, monotone | 57.855 | 59.923 | -2.068 | 0.96549 |
| A5s, paired | 65.237 | 59.923 | +5.314 | 1.08868 |
| 64s, all flops | 38.965 | 41.333 | -2.368 | 0.94271 |
| 64s, rainbow, ten or higher | 35.364 | 41.333 | -5.969 | 0.85559 |
| 64s, rainbow, nine or lower | 55.843 | 41.333 | +14.510 | 1.35105 |
| 64s, two-tone | 40.031 | 41.333 | -1.302 | 0.96850 |
| 64s, monotone | 42.145 | 41.333 | +0.812 | 1.01965 |
| 64s, paired | 34.763 | 41.333 | -6.570 | 0.84105 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A5s holds 63.30%. In 12 they do not, and it holds 60.28%. A5s does better with a shared suit, by 3.02 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 64s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 62.976 | 0.643 | 36.381 | 63.297 |
| No shared suit | 12 | 75.00 | 60.013 | 0.537 | 39.450 | 60.281 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A5s' average share is $122.08 (a gain of $22.08) and 64s' is $77.92 (a loss of $22.08).
Think in thousands: about 607 of 1,000 go to A5s, about 387 go to 64s, and about 6 are chopped.
The same matchup from the other side
64s versus A5s is this same page seen from the other hand: 38.96% for 64s, 61.04% for A5s.
Keep exploring
Try As5s 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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