55
81.52%
Wins 80.14%, ties 2.77%
33
18.48%
Wins 17.09%, ties 2.77%
55 against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 80.138 | 2.770 | 17.092 | 81.523 |
| 33 | 17.092 | 2.770 | 80.138 | 18.477 |
Both hands are pocket pairs: 55 and 33. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
This is one of the lopsided matchups: 33 wins only 17.09% of the boards outright. Split pots make up 2.77% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, 55 holds place 27 of 169 and 33 holds place 66.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 49,399,000 | 1,708,000 | 10,536,000 |
| 33 | 10,536,000 | 1,708,000 | 49,399,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 55 | 4.412 | 1.248 | 5.851 | 0.227 |
| 33 | 0.227 | 5.851 | 1.248 | 4.412 |
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 76.33% on monotone flops up to 83.43% on paired flops. 55 stays ahead on all five textures.
| Flop | Share of flops | 55 wins | Ties | 33 wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 82.103 | 1.575 | 16.322 | 82.890 |
| Rainbow, nine or lower | 5.065 | 75.741 | 1.229 | 23.030 | 76.355 |
| Two-tone | 46.363 | 80.430 | 1.498 | 18.072 | 81.179 |
| Monotone | 5.152 | 74.520 | 3.617 | 21.863 | 76.329 |
| Paired | 17.576 | 79.393 | 8.079 | 12.528 | 83.433 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +21.19 points for 55, from 60.33%, and -35.21 for 33, from 53.69%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 81.523 | 60.325 | +21.198 | 1.35140 |
| 55, rainbow, ten or higher | 82.890 | 60.325 | +22.565 | 1.37406 |
| 55, rainbow, nine or lower | 76.355 | 60.325 | +16.030 | 1.26573 |
| 55, two-tone | 81.179 | 60.325 | +20.854 | 1.34569 |
| 55, monotone | 76.329 | 60.325 | +16.004 | 1.26530 |
| 55, paired | 83.433 | 60.325 | +23.108 | 1.38306 |
| 33, all flops | 18.477 | 53.693 | -35.216 | 0.34412 |
| 33, rainbow, ten or higher | 17.110 | 53.693 | -36.583 | 0.31866 |
| 33, rainbow, nine or lower | 23.645 | 53.693 | -30.048 | 0.44037 |
| 33, two-tone | 18.821 | 53.693 | -34.872 | 0.35053 |
| 33, monotone | 23.671 | 53.693 | -30.022 | 0.44086 |
| 33, paired | 16.567 | 53.693 | -37.126 | 0.30855 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 55 has 81.66% equity, and with none in common it has 80.84%. 55 does better with a shared suit, by 0.82 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | 33 wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.270 | 2.781 | 16.949 | 81.661 |
| No shared suit | 6 | 16.67 | 79.478 | 2.715 | 17.807 | 80.836 |
How often this matchup comes up
55 against 33 is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 55 gets $163.04 of it on average and 33 gets $36.96.
Run 1,000 deals and the tally comes out near 801 for 55, 171 for 33 and 28 ties.
The same matchup from the other side
33 versus 55 is this same page seen from the other hand: 18.48% for 33, 81.52% for 55.
Keep exploring
The calculator link fills in 5s5h against 3d3c, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of 55 against 33, 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