33
48.25%
Wins 47.13%, ties 2.23%
76s
51.75%
Wins 50.64%, ties 2.23%
33 against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 47.134 | 2.233 | 50.633 | 48.251 |
| 76s | 50.633 | 2.233 | 47.134 | 51.749 |
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. Ties are part of the picture: 2.23% of boards end in a split pot, and each side counts that as half a win.
33 ranks number 66 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 19,370,000 | 918,000 | 20,808,000 |
| 76s | 20,808,000 | 918,000 | 19,370,000 |
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) |
|---|---|---|---|---|
| 33 | 0.932 | 2.122 | 1.975 | 1.072 |
| 76s | 1.072 | 1.975 | 2.122 | 0.932 |
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
If you know the kind of flop that came, the numbers shift: 76s holds 61.90% on low rainbow flops (nine high or lower) and 47.85% on paired flops. Rainbow flops topped by a ten or better and paired flops favor 33, the hand that is behind overall.
| Flop | Share of flops | 33 wins | Ties | 76s wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 49.893 | 1.295 | 48.812 | 50.541 |
| Rainbow, nine or lower | 5.065 | 37.697 | 0.812 | 61.491 | 38.103 |
| Two-tone | 46.545 | 46.041 | 1.157 | 52.802 | 46.620 |
| Monotone | 5.212 | 46.415 | 3.855 | 49.730 | 48.342 |
| Paired | 17.334 | 48.928 | 6.450 | 44.622 | 52.153 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, 33 holds 53.69% and 76s holds 45.37%. Facing each other changes that by -5.44 points for 33 and +6.38 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 48.251 | 53.693 | -5.442 | 0.89865 |
| 33, rainbow, ten or higher | 50.541 | 53.693 | -3.152 | 0.94130 |
| 33, rainbow, nine or lower | 38.103 | 53.693 | -15.590 | 0.70965 |
| 33, two-tone | 46.620 | 53.693 | -7.073 | 0.86827 |
| 33, monotone | 48.342 | 53.693 | -5.351 | 0.90034 |
| 33, paired | 52.153 | 53.693 | -1.540 | 0.97132 |
| 76s, all flops | 51.749 | 45.372 | +6.377 | 1.14055 |
| 76s, rainbow, ten or higher | 49.459 | 45.372 | +4.087 | 1.09008 |
| 76s, rainbow, nine or lower | 61.897 | 45.372 | +16.525 | 1.36421 |
| 76s, two-tone | 53.380 | 45.372 | +8.008 | 1.17650 |
| 76s, monotone | 51.658 | 45.372 | +6.286 | 1.13854 |
| 76s, paired | 47.847 | 45.372 | +2.475 | 1.05455 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (76s at 51.62%) and 12 do not (51.88%). 76s does better with no shared suit, by 0.26 points.
| Deals | Specific deals | Share of deals | 33 wins | Ties | 76s wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.246 | 2.260 | 50.494 | 48.376 |
| No shared suit | 12 | 50.00 | 47.022 | 2.206 | 50.772 | 48.125 |
How often this matchup comes up
33 against 76s 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: 76s averages $103.50 back, ahead of its $100 by $3.50, while 33 averages $96.50, short of its $100 by $3.50.
Over a long run, 1,000 deals split into about 506 for 76s, 472 for 33 and 22 tied.
The same matchup from the other side
The reversed view, 76s against 33, shows 51.75% for 76s and 48.25% for 33. It is the same count, so it redirects here.
Keep exploring
3s3h against 7d6d 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