55
63.54%
Wins 62.23%, ties 2.61%
A5s
36.46%
Wins 35.16%, ties 2.61%
55 against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 62.229 | 2.611 | 35.160 | 63.535 |
| A5s | 35.160 | 2.611 | 62.229 | 36.465 |
55 is a pocket pair and A5s is a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 2.61 are split pots, and the equity figures already include them.
The hand ranking puts 55 at 27 and A5s at 30 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 12,787,000 | 536,000 | 7,225,000 |
| A5s | 7,225,000 | 536,000 | 12,787,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| 55 | 1.742 | 1.607 | 2.844 | 0.574 |
| A5s | 0.574 | 2.844 | 1.607 | 1.742 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 55 holds 76.10% on low rainbow flops (nine high or lower) and 60.23% on monotone flops. 55 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | 55 wins | Ties | A5s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.197 | 62.267 | 1.622 | 36.111 | 63.078 |
| Rainbow, nine or lower | 5.585 | 71.572 | 9.064 | 19.364 | 76.104 |
| Two-tone | 46.236 | 60.785 | 2.675 | 36.540 | 62.122 |
| Monotone | 5.151 | 58.501 | 3.465 | 38.034 | 60.233 |
| Paired | 17.831 | 64.073 | 1.574 | 34.353 | 64.860 |
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
Start from the random-hand figures, 60.33% for 55 and 59.92% for A5s. This opponent changes them by +3.21 and -23.46 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 63.535 | 60.325 | +3.210 | 1.05321 |
| 55, rainbow, ten or higher | 63.078 | 60.325 | +2.753 | 1.04564 |
| 55, rainbow, nine or lower | 76.104 | 60.325 | +15.779 | 1.26157 |
| 55, two-tone | 62.122 | 60.325 | +1.797 | 1.02979 |
| 55, monotone | 60.233 | 60.325 | -0.092 | 0.99847 |
| 55, paired | 64.860 | 60.325 | +4.535 | 1.07518 |
| A5s, all flops | 36.465 | 59.923 | -23.458 | 0.60853 |
| A5s, rainbow, ten or higher | 36.922 | 59.923 | -23.001 | 0.61616 |
| A5s, rainbow, nine or lower | 23.896 | 59.923 | -36.027 | 0.39878 |
| A5s, two-tone | 37.878 | 59.923 | -22.045 | 0.63211 |
| A5s, monotone | 39.767 | 59.923 | -20.156 | 0.66363 |
| A5s, paired | 35.140 | 59.923 | -24.783 | 0.58642 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so 55's 63.54% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | 55 wins | Ties | A5s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 62.229 | 2.611 | 35.160 | 63.535 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 55 gets $127.08 of it on average and A5s gets $72.92.
Run 1,000 deals and the tally comes out near 622 for 55, 352 for A5s and 26 ties.
The same matchup from the other side
Swap the hands and you get A5s with 36.46% against 55 with 63.54%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
5s5h against Ad5d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 12 ways to deal one 55 and one A5s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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