A8s
61.52%
Wins 61.25%, ties 0.55%
54s
38.48%
Wins 38.20%, ties 0.55%
A8s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 61.246 | 0.550 | 38.204 | 61.521 |
| 54s | 38.204 | 0.550 | 61.246 | 38.479 |
Both hands are suited hands: A8s and 54s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 23.04 point lead is real, and 54s still takes about 382 of every 1,000 deals outright. About 0.55% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 16,779,000 | 151,000 | 10,467,000 |
| 54s | 10,467,000 | 151,000 | 16,779,000 |
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) |
|---|---|---|---|---|
| A8s | 1.599 | 1.633 | 2.618 | 0.625 |
| 54s | 0.625 | 2.618 | 1.633 | 1.599 |
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 A8s is strongest on paired flops (65.02%) and weakest on low rainbow flops (nine high or lower) (46.02%). Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | A8s wins | Ties | 54s wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 64.755 | 0.239 | 35.006 | 64.874 |
| Rainbow, nine or lower | 5.689 | 45.633 | 0.767 | 53.600 | 46.016 |
| Two-tone | 46.727 | 60.475 | 0.306 | 39.219 | 60.628 |
| Monotone | 5.273 | 57.023 | 3.546 | 39.431 | 58.796 |
| Paired | 17.091 | 64.678 | 0.678 | 34.644 | 65.017 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A8s from 61.94% by -0.42 points and 54s from 41.45% by -2.97 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 61.521 | 61.944 | -0.423 | 0.99317 |
| A8s, rainbow, ten or higher | 64.874 | 61.944 | +2.930 | 1.04730 |
| A8s, rainbow, nine or lower | 46.016 | 61.944 | -15.928 | 0.74286 |
| A8s, two-tone | 60.628 | 61.944 | -1.316 | 0.97876 |
| A8s, monotone | 58.796 | 61.944 | -3.148 | 0.94918 |
| A8s, paired | 65.017 | 61.944 | +3.073 | 1.04961 |
| 54s, all flops | 38.479 | 41.453 | -2.974 | 0.92826 |
| 54s, rainbow, ten or higher | 35.126 | 41.453 | -6.327 | 0.84737 |
| 54s, rainbow, nine or lower | 53.984 | 41.453 | +12.531 | 1.30229 |
| 54s, two-tone | 39.372 | 41.453 | -2.081 | 0.94980 |
| 54s, monotone | 41.204 | 41.453 | -0.249 | 0.99399 |
| 54s, paired | 34.983 | 41.453 | -6.470 | 0.84392 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A8s at 63.72%) and 12 do not (60.79%). A8s does better with a shared suit, by 2.93 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | 54s wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.404 | 0.627 | 35.969 | 63.718 |
| No shared suit | 12 | 75.00 | 60.527 | 0.524 | 38.949 | 60.789 |
How often this matchup comes up
A8s against 54s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A8s is worth $123.04 on average (+$23.04); 54s is worth $76.96 (-$23.04).
In 1,000 deals of exactly this matchup, expect about 612 won outright by A8s, about 382 won outright by 54s and about 6 split.
The same matchup from the other side
Read it from the other side: 54s against A8s is the same matchup with the numbers swapped, so 54s holds 38.48% and A8s holds 61.52%. That address sends you back to this page.
Keep exploring
The calculator link fills in As8s against 5h4h, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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