AA
80.89%
Wins 80.68%, ties 0.41%
55
19.11%
Wins 18.91%, ties 0.41%
AA against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 80.682 | 0.413 | 18.905 | 80.889 |
| 55 | 18.905 | 0.413 | 80.682 | 19.111 |
The matchup is pocket pairs on both sides, AA against 55. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
AA is a big favorite here before anyone sees a flop. About 0.41% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, AA sits at number 1 of 169 starting hands and 55 at number 27 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 49,735,000 | 255,000 | 11,654,000 |
| 55 | 11,654,000 | 255,000 | 49,735,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| AA | 4.233 | 1.239 | 5.290 | 0.236 |
| 55 | 0.236 | 5.290 | 1.239 | 4.233 |
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, AA's equity runs from 66.21% on low rainbow flops (nine high or lower) up to 86.72% on paired flops. AA 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 | AA wins | Ties | 55 wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.740 | 0.287 | 15.973 | 83.884 |
| Rainbow, nine or lower | 6.314 | 65.751 | 0.923 | 33.326 | 66.213 |
| Two-tone | 46.363 | 79.510 | 0.400 | 20.090 | 79.710 |
| Monotone | 5.152 | 74.344 | 1.898 | 23.758 | 75.293 |
| Paired | 17.576 | 86.713 | 0.007 | 13.280 | 86.717 |
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
Each hand has a baseline against a random hand: 85.20% for AA, 60.33% for 55. Here the change is -4.31 and -41.22 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 80.889 | 85.204 | -4.315 | 0.94936 |
| AA, rainbow, ten or higher | 83.884 | 85.204 | -1.320 | 0.98451 |
| AA, rainbow, nine or lower | 66.213 | 85.204 | -18.991 | 0.77711 |
| AA, two-tone | 79.710 | 85.204 | -5.494 | 0.93552 |
| AA, monotone | 75.293 | 85.204 | -9.911 | 0.88368 |
| AA, paired | 86.717 | 85.204 | +1.513 | 1.01776 |
| 55, all flops | 19.111 | 60.325 | -41.214 | 0.31680 |
| 55, rainbow, ten or higher | 16.116 | 60.325 | -44.209 | 0.26715 |
| 55, rainbow, nine or lower | 33.787 | 60.325 | -26.538 | 0.56008 |
| 55, two-tone | 20.290 | 60.325 | -40.035 | 0.33634 |
| 55, monotone | 24.707 | 60.325 | -35.618 | 0.40956 |
| 55, paired | 13.283 | 60.325 | -47.042 | 0.22019 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AA has 81.02% equity, and with none in common it has 80.23%. AA does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | 55 wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.807 | 0.428 | 18.765 | 81.021 |
| No shared suit | 6 | 16.67 | 80.056 | 0.339 | 19.605 | 80.226 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Take a $200 pot built from $100 each. AA's equity of 80.89% is worth $161.78, a $61.78 edge, and 55's 19.11% is worth $38.22, which is $61.78 under its stake.
Run 1,000 deals and the tally comes out near 807 for AA, 189 for 55 and 4 ties.
The same matchup from the other side
The mirror image, 55 against AA, is 19.11% to 80.89%, and its address redirects to this page.
Keep exploring
Open the calculator with AsAh against 5d5c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of AA against 55, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
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