33
49.20%
Wins 47.92%, ties 2.55%
65s
50.80%
Wins 49.53%, ties 2.55%
33 against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 47.921 | 2.548 | 49.531 | 49.195 |
| 65s | 49.531 | 2.548 | 47.921 | 50.805 |
The matchup pits a pocket pair against a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
That is a slim edge: neither hand is far ahead. 2.55% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 66 of 169 belongs to 33 and place 128 belongs to 65s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 19,693,000 | 1,047,000 | 20,355,000 |
| 65s | 20,355,000 | 1,047,000 | 19,693,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| 33 | 0.968 | 2.087 | 2.019 | 1.033 |
| 65s | 1.033 | 2.019 | 2.087 | 0.968 |
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
Across the five flop textures 65s' equity moves by 16.61 points, from 46.50% on paired flops to 63.11% on low rainbow flops (nine high or lower). On rainbow flops topped by a ten or better and paired flops the numbers flip and 33 is the one ahead.
| Flop | Share of flops | 33 wins | Ties | 65s wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.163 | 1.473 | 47.364 | 51.899 |
| Rainbow, nine or lower | 5.065 | 36.370 | 1.040 | 62.590 | 36.890 |
| Two-tone | 46.545 | 46.800 | 1.331 | 51.869 | 47.465 |
| Monotone | 5.212 | 46.844 | 4.026 | 49.130 | 48.857 |
| Paired | 17.334 | 49.797 | 7.415 | 42.788 | 53.504 |
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: 53.69% for 33, 43.13% for 65s. Here the change is -4.49 and +7.67 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 49.195 | 53.693 | -4.498 | 0.91623 |
| 33, rainbow, ten or higher | 51.899 | 53.693 | -1.794 | 0.96659 |
| 33, rainbow, nine or lower | 36.890 | 53.693 | -16.803 | 0.68705 |
| 33, two-tone | 47.465 | 53.693 | -6.228 | 0.88401 |
| 33, monotone | 48.857 | 53.693 | -4.836 | 0.90993 |
| 33, paired | 53.504 | 53.693 | -0.189 | 0.99648 |
| 65s, all flops | 50.805 | 43.133 | +7.672 | 1.17787 |
| 65s, rainbow, ten or higher | 48.101 | 43.133 | +4.968 | 1.11518 |
| 65s, rainbow, nine or lower | 63.110 | 43.133 | +19.977 | 1.46315 |
| 65s, two-tone | 52.535 | 43.133 | +9.402 | 1.21798 |
| 65s, monotone | 51.143 | 43.133 | +8.010 | 1.18570 |
| 65s, paired | 46.496 | 43.133 | +3.363 | 1.07797 |
Does a shared suit matter?
The suit split reads 50.69% for 65s with a shared suit and 50.92% without one. The two rows differ by only 0.23 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | 33 wins | Ties | 65s wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.018 | 2.576 | 49.406 | 49.306 |
| No shared suit | 12 | 50.00 | 47.824 | 2.520 | 49.656 | 49.084 |
How often this matchup comes up
Counting specific cards, 33 against 65s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Take a $200 pot built from $100 each. 65s' equity of 50.80% is worth $101.60, a $1.60 edge, and 33's 49.20% is worth $98.40, which is $1.60 under its stake.
In 1,000 deals of exactly this matchup, expect about 495 won outright by 65s, about 479 won outright by 33 and about 26 split.
The same matchup from the other side
The reversed view, 65s against 33, shows 50.80% for 65s and 49.20% for 33. It is the same count, so it redirects here.
Keep exploring
Try 3s3h against 6d5d 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
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