A5s
55.09%
Wins 35.61%, ties 38.96%
A4s
44.91%
Wins 25.43%, ties 38.96%
A5s against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 35.608 | 38.962 | 25.430 | 55.089 |
| A4s | 25.430 | 38.962 | 35.608 | 44.911 |
A5s and A4s 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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 38.96% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, A5s sits at number 30 of 169 starting hands and A4s at number 35 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 7,317,000 | 8,006,000 | 5,225,000 |
| A4s | 5,225,000 | 8,006,000 | 7,317,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A5s | 1.227 | 2.808 | 3.932 | 0.815 |
| A4s | 0.815 | 3.932 | 2.808 | 1.227 |
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
Across the five flop textures A5s' equity moves by 7.45 points, from 52.34% on paired flops to 59.79% on low rainbow flops (nine high or lower). A5s stays ahead on all five textures.
| Flop | Share of flops | A5s wins | Ties | A4s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 33.216 | 44.147 | 22.637 | 55.289 |
| Rainbow, nine or lower | 6.383 | 47.973 | 23.626 | 28.401 | 59.786 |
| Two-tone | 46.543 | 38.061 | 34.815 | 27.124 | 55.469 |
| Monotone | 5.215 | 40.484 | 27.282 | 32.234 | 54.125 |
| Paired | 17.333 | 26.382 | 51.923 | 21.695 | 52.343 |
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
How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by -4.83 points, and A4s, from 59.03%, by -14.12.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 55.089 | 59.923 | -4.834 | 0.91933 |
| A5s, rainbow, ten or higher | 55.289 | 59.923 | -4.634 | 0.92267 |
| A5s, rainbow, nine or lower | 59.786 | 59.923 | -0.137 | 0.99771 |
| A5s, two-tone | 55.469 | 59.923 | -4.454 | 0.92567 |
| A5s, monotone | 54.125 | 59.923 | -5.798 | 0.90324 |
| A5s, paired | 52.343 | 59.923 | -7.580 | 0.87350 |
| A4s, all flops | 44.911 | 59.034 | -14.123 | 0.76076 |
| A4s, rainbow, ten or higher | 44.711 | 59.034 | -14.323 | 0.75738 |
| A4s, rainbow, nine or lower | 40.214 | 59.034 | -18.820 | 0.68120 |
| A4s, two-tone | 44.531 | 59.034 | -14.503 | 0.75433 |
| A4s, monotone | 45.875 | 59.034 | -13.159 | 0.77709 |
| A4s, paired | 47.657 | 59.034 | -11.377 | 0.80728 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: A5s holds 55.09% in every deal of this matchup.
| Deals | Specific deals | Share of deals | A5s wins | Ties | A4s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 35.608 | 38.962 | 25.430 | 55.089 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are A5s in one seat and A4s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A5s averages $110.18 from the $200, up $10.18; A4s averages $89.82, down $10.18.
Think in thousands: about 356 of 1,000 go to A5s, about 254 go to A4s, and about 390 are chopped.
The same matchup from the other side
One page covers both views. From A4s' side the equity is 44.91%, and from A5s' side it is 55.09%.
Keep exploring
The calculator link fills in As5s against Ah4h, 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 12 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session