33
50.31%
Wins 49.02%, ties 2.58%
64s
49.69%
Wins 48.40%, ties 2.58%
33 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 49.023 | 2.582 | 48.395 | 50.314 |
| 64s | 48.395 | 2.582 | 49.023 | 49.686 |
33 is a pocket pair and 64s is 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. 2.58% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, 33 sits at number 66 of 169 starting hands and 64s at number 138 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 20,146,000 | 1,061,000 | 19,888,000 |
| 64s | 19,888,000 | 1,061,000 | 20,146,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 33 | 1.013 | 2.040 | 2.066 | 0.988 |
| 64s | 0.988 | 2.066 | 2.040 | 1.013 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, 33 peaks at 54.25% on paired flops and bottoms out at 39.67% on low rainbow flops (nine high or lower). 64s is ahead on low rainbow flops (nine high or lower), two-tone flops and monotone flops, even though it trails 33 when every flop is counted.
| Flop | Share of flops | 33 wins | Ties | 64s wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 52.171 | 1.473 | 46.356 | 52.907 |
| Rainbow, nine or lower | 5.065 | 39.069 | 1.198 | 59.733 | 39.668 |
| Two-tone | 46.545 | 47.961 | 1.353 | 50.686 | 48.638 |
| Monotone | 5.212 | 47.656 | 4.046 | 48.298 | 49.679 |
| Paired | 17.334 | 50.501 | 7.501 | 41.998 | 54.252 |
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
The table below sets each hand against its own random-hand baseline: a change of -3.38 points for 33, from 53.69%, and +8.36 for 64s, from 41.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 50.314 | 53.693 | -3.379 | 0.93707 |
| 33, rainbow, ten or higher | 52.907 | 53.693 | -0.786 | 0.98536 |
| 33, rainbow, nine or lower | 39.668 | 53.693 | -14.025 | 0.73879 |
| 33, two-tone | 48.638 | 53.693 | -5.055 | 0.90585 |
| 33, monotone | 49.679 | 53.693 | -4.014 | 0.92524 |
| 33, paired | 54.252 | 53.693 | +0.559 | 1.01041 |
| 64s, all flops | 49.686 | 41.333 | +8.353 | 1.20209 |
| 64s, rainbow, ten or higher | 47.093 | 41.333 | +5.760 | 1.13936 |
| 64s, rainbow, nine or lower | 60.332 | 41.333 | +18.999 | 1.45966 |
| 64s, two-tone | 51.362 | 41.333 | +10.029 | 1.24264 |
| 64s, monotone | 50.321 | 41.333 | +8.988 | 1.21745 |
| 64s, paired | 45.748 | 41.333 | +4.415 | 1.10682 |
Does a shared suit matter?
Split by suits, the deals give 33 50.44% when the hands overlap in a suit and 50.19% when they do not. 33 does better with a shared suit, by 0.25 points.
| Deals | Specific deals | Share of deals | 33 wins | Ties | 64s wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.136 | 2.610 | 48.254 | 50.441 |
| No shared suit | 12 | 50.00 | 48.911 | 2.554 | 48.535 | 50.188 |
How often this matchup comes up
33 against 64s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Put $100 each into a $200 pot and deal every board once: 33 averages $100.62 back, ahead of its $100 by $0.62, while 64s averages $99.38, short of its $100 by $0.62.
Out of 1,000 deals you should see around 490 outright wins for 33, 484 for 64s, and 26 split pots.
The same matchup from the other side
64s against 33 adds nothing new: it is 49.69% for 64s and 50.31% for 33, the same figures reversed.
Keep exploring
Try 3s3h against 6d4d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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