A7s
47.03%
Wins 46.79%, ties 0.48%
55
52.97%
Wins 52.73%, ties 0.48%
A7s against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 46.786 | 0.478 | 52.736 | 47.025 |
| 55 | 52.736 | 0.478 | 46.786 | 52.975 |
The matchup pits a suited hand against a pocket pair. 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.
With only 5.94 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 0.48 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, A7s is number 24 of the 169 starting hands and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 19,227,000 | 196,000 | 21,672,000 |
| 55 | 21,672,000 | 196,000 | 19,227,000 |
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) |
|---|---|---|---|---|
| A7s | 0.888 | 2.137 | 1.896 | 1.127 |
| 55 | 1.127 | 1.896 | 2.137 | 0.888 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures 55's equity moves by 10.13 points, from 51.59% on two-tone flops to 61.72% on low rainbow flops (nine high or lower). 55 stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | 55 wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 47.647 | 0.267 | 52.086 | 47.781 |
| Rainbow, nine or lower | 5.689 | 37.960 | 0.634 | 61.406 | 38.277 |
| Two-tone | 46.545 | 48.255 | 0.310 | 51.435 | 48.410 |
| Monotone | 5.212 | 46.564 | 2.601 | 50.835 | 47.864 |
| Paired | 17.334 | 44.553 | 0.544 | 54.903 | 44.825 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, A7s holds 60.98% and 55 holds 60.33%. Facing each other changes that by -13.95 points for A7s and -7.36 points for 55.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 47.025 | 60.984 | -13.959 | 0.77110 |
| A7s, rainbow, ten or higher | 47.781 | 60.984 | -13.203 | 0.78350 |
| A7s, rainbow, nine or lower | 38.277 | 60.984 | -22.707 | 0.62766 |
| A7s, two-tone | 48.410 | 60.984 | -12.574 | 0.79381 |
| A7s, monotone | 47.864 | 60.984 | -13.120 | 0.78486 |
| A7s, paired | 44.825 | 60.984 | -16.159 | 0.73503 |
| 55, all flops | 52.975 | 60.325 | -7.350 | 0.87816 |
| 55, rainbow, ten or higher | 52.219 | 60.325 | -8.106 | 0.86563 |
| 55, rainbow, nine or lower | 61.723 | 60.325 | +1.398 | 1.02317 |
| 55, two-tone | 51.590 | 60.325 | -8.735 | 0.85520 |
| 55, monotone | 52.136 | 60.325 | -8.189 | 0.86425 |
| 55, paired | 55.175 | 60.325 | -5.150 | 0.91463 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 55 holds 53.15%. In 12 they do not, and it holds 52.80%. 55 does better with a shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 55 wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 46.594 | 0.517 | 52.889 | 46.852 |
| No shared suit | 12 | 50.00 | 46.978 | 0.439 | 52.583 | 47.197 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are A7s in one seat and 55 in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Take a $200 pot built from $100 each. 55's equity of 52.97% is worth $105.94, a $5.94 edge, and A7s' 47.03% is worth $94.06, which is $5.94 under its stake.
Run 1,000 deals and the tally comes out near 527 for 55, 468 for A7s and 5 ties.
The same matchup from the other side
55 versus A7s is this same page seen from the other hand: 52.97% for 55, 47.03% for A7s.
Keep exploring
As7s against 5h5d 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
Method: exact enumeration. The 24 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