55
53.60%
Wins 53.36%, ties 0.49%
A6s
46.40%
Wins 46.15%, ties 0.49%
55 against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 53.357 | 0.489 | 46.154 | 53.602 |
| A6s | 46.154 | 0.489 | 53.357 | 46.398 |
Here a pocket pair (55) meets a suited hand (A6s). A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
55 leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. A split pot comes up on 0.49% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, 55 is number 27 of the 169 starting hands and A6s is number 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 21,927,000 | 201,000 | 18,967,000 |
| A6s | 18,967,000 | 201,000 | 21,927,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 55 | 1.155 | 1.874 | 2.167 | 0.866 |
| A6s | 0.866 | 2.167 | 1.874 | 1.155 |
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
By flop texture, 55's equity runs from 52.29% on two-tone flops up to 63.22% on low rainbow flops (nine high or lower). 55 stays ahead on all five textures.
| Flop | Share of flops | 55 wins | Ties | A6s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 52.685 | 0.265 | 47.050 | 52.817 |
| Rainbow, nine or lower | 5.689 | 62.852 | 0.729 | 36.419 | 63.217 |
| Two-tone | 46.545 | 52.124 | 0.322 | 47.554 | 52.285 |
| Monotone | 5.212 | 51.312 | 2.607 | 46.081 | 52.615 |
| Paired | 17.334 | 55.144 | 0.548 | 44.308 | 55.418 |
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
Start from the random-hand figures, 60.33% for 55 and 59.91% for A6s. This opponent changes them by -6.73 and -13.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 53.602 | 60.325 | -6.723 | 0.88855 |
| 55, rainbow, ten or higher | 52.817 | 60.325 | -7.508 | 0.87554 |
| 55, rainbow, nine or lower | 63.217 | 60.325 | +2.892 | 1.04794 |
| 55, two-tone | 52.285 | 60.325 | -8.040 | 0.86672 |
| 55, monotone | 52.615 | 60.325 | -7.710 | 0.87219 |
| 55, paired | 55.418 | 60.325 | -4.907 | 0.91866 |
| A6s, all flops | 46.398 | 59.906 | -13.508 | 0.77451 |
| A6s, rainbow, ten or higher | 47.183 | 59.906 | -12.723 | 0.78762 |
| A6s, rainbow, nine or lower | 36.783 | 59.906 | -23.123 | 0.61401 |
| A6s, two-tone | 47.715 | 59.906 | -12.191 | 0.79650 |
| A6s, monotone | 47.385 | 59.906 | -12.521 | 0.79099 |
| A6s, paired | 44.582 | 59.906 | -15.324 | 0.74420 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 55 holds 53.78%. In 12 they do not, and it holds 53.42%. 55 does better with a shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | A6s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.515 | 0.528 | 45.957 | 53.779 |
| No shared suit | 12 | 50.00 | 53.199 | 0.450 | 46.351 | 53.424 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. 55's equity of 53.60% is worth $107.20, a $7.20 edge, and A6s' 46.40% is worth $92.80, which is $7.20 under its stake.
Run 1,000 deals and the tally comes out near 534 for 55, 461 for A6s and 5 ties.
The same matchup from the other side
If you came looking for A6s against 55, the numbers are the same with the hands swapped: 46.40% and 53.60%.
Keep exploring
Try 5s5h against Ad6d 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 24 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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