33
47.62%
Wins 46.90%, ties 1.45%
T8s
52.38%
Wins 51.65%, ties 1.45%
33 against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 46.898 | 1.452 | 51.650 | 47.624 |
| T8s | 51.650 | 1.452 | 46.898 | 52.376 |
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.
This is close to even money, with T8s a little ahead. The tie share is 1.45%: on those boards the pot is chopped and neither hand wins outright.
33 ranks number 66 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 19,273,000 | 597,000 | 21,226,000 |
| T8s | 21,226,000 | 597,000 | 19,273,000 |
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 | 0.909 | 2.132 | 1.936 | 1.100 |
| T8s | 1.100 | 1.936 | 2.132 | 0.909 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: T8s holds 53.78% on two-tone flops and 48.25% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower) and paired flops: there 33 is the favorite even though T8s is ahead overall.
| Flop | Share of flops | 33 wins | Ties | T8s wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 46.825 | 0.827 | 52.348 | 47.239 |
| Rainbow, nine or lower | 5.689 | 51.420 | 0.662 | 47.918 | 51.751 |
| Two-tone | 46.545 | 45.839 | 0.760 | 53.401 | 46.219 |
| Monotone | 5.212 | 46.368 | 3.527 | 50.105 | 48.132 |
| Paired | 17.334 | 48.520 | 3.856 | 47.624 | 50.448 |
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
Against one random hand instead, 33 holds 53.69% and T8s holds 52.33%. Facing each other changes that by -6.07 points for 33 and +0.05 points for T8s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 47.624 | 53.693 | -6.069 | 0.88697 |
| 33, rainbow, ten or higher | 47.239 | 53.693 | -6.454 | 0.87980 |
| 33, rainbow, nine or lower | 51.751 | 53.693 | -1.942 | 0.96383 |
| 33, two-tone | 46.219 | 53.693 | -7.474 | 0.86080 |
| 33, monotone | 48.132 | 53.693 | -5.561 | 0.89643 |
| 33, paired | 50.448 | 53.693 | -3.245 | 0.93956 |
| T8s, all flops | 52.376 | 52.334 | +0.042 | 1.00080 |
| T8s, rainbow, ten or higher | 52.761 | 52.334 | +0.427 | 1.00816 |
| T8s, rainbow, nine or lower | 48.249 | 52.334 | -4.085 | 0.92194 |
| T8s, two-tone | 53.781 | 52.334 | +1.447 | 1.02765 |
| T8s, monotone | 51.868 | 52.334 | -0.466 | 0.99110 |
| T8s, paired | 49.552 | 52.334 | -2.782 | 0.94684 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (T8s at 52.23%) and 12 do not (52.53%). T8s does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | 33 wins | Ties | T8s wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.032 | 1.482 | 51.486 | 47.773 |
| No shared suit | 12 | 50.00 | 46.764 | 1.422 | 51.814 | 47.475 |
How often this matchup comes up
33 against T8s 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: T8s averages $104.76 back, ahead of its $100 by $4.76, while 33 averages $95.24, short of its $100 by $4.76.
Think in thousands: about 516 of 1,000 go to T8s, about 469 go to 33, and about 15 are chopped.
The same matchup from the other side
The reversed view, T8s against 33, shows 52.38% for T8s and 47.62% for 33. It is the same count, so it redirects here.
Keep exploring
Try 3s3h against Td8d 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
We counted every case. Each suit pattern of the 24 specific 33 against T8s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
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