33
49.17%
Wins 48.46%, ties 1.42%
T9o
50.83%
Wins 50.12%, ties 1.42%
33 against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 48.461 | 1.420 | 50.119 | 49.171 |
| T9o | 50.119 | 1.420 | 48.461 | 50.829 |
Here a pocket pair (33) meets an offsuit hand (T9o). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
T9o leads by less than 2 points of equity, so the result of any one deal is close to a toss-up. The tie share is 1.42%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, 33 is number 66 of the 169 starting hands and T9o is number 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 59,746,000 | 1,751,000 | 61,790,000 |
| T9o | 61,790,000 | 1,751,000 | 59,746,000 |
The total is exact: 72 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 | 0.967 | 2.064 | 1.995 | 1.034 |
| T9o | 1.034 | 1.995 | 2.064 | 0.967 |
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
Break the boards down by their first three cards and T9o is strongest on monotone flops (52.91%) and weakest on low rainbow flops (nine high or lower) (44.82%). 33 takes over on low rainbow flops (nine high or lower) and paired flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | 33 wins | Ties | T9o wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 46.937 | 0.819 | 52.244 | 47.347 |
| Rainbow, nine or lower | 5.689 | 54.889 | 0.584 | 44.527 | 55.181 |
| Two-tone | 46.485 | 48.245 | 0.763 | 50.992 | 48.627 |
| Monotone | 5.151 | 45.759 | 2.663 | 51.578 | 47.090 |
| Paired | 17.334 | 49.963 | 3.963 | 46.074 | 51.944 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 53.69%, 33 changes by -4.52 points, and T9o, from 51.53%, by -0.70.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 49.171 | 53.693 | -4.522 | 0.91578 |
| 33, rainbow, ten or higher | 47.347 | 53.693 | -6.346 | 0.88181 |
| 33, rainbow, nine or lower | 55.181 | 53.693 | +1.488 | 1.02771 |
| 33, two-tone | 48.627 | 53.693 | -5.066 | 0.90565 |
| 33, monotone | 47.090 | 53.693 | -6.603 | 0.87702 |
| 33, paired | 51.944 | 53.693 | -1.749 | 0.96743 |
| T9o, all flops | 50.829 | 51.532 | -0.703 | 0.98636 |
| T9o, rainbow, ten or higher | 52.653 | 51.532 | +1.121 | 1.02175 |
| T9o, rainbow, nine or lower | 44.819 | 51.532 | -6.713 | 0.86973 |
| T9o, two-tone | 51.373 | 51.532 | -0.159 | 0.99691 |
| T9o, monotone | 52.910 | 51.532 | +1.378 | 1.02674 |
| T9o, paired | 48.056 | 51.532 | -3.476 | 0.93255 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, T9o has 50.92%; looking only at deals where they do not, 50.37%. T9o does better with a shared suit, by 0.55 points.
| Deals | Specific deals | Share of deals | 33 wins | Ties | T9o wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 48.364 | 1.430 | 50.206 | 49.079 |
| No shared suit | 12 | 16.67 | 48.949 | 1.365 | 49.686 | 49.632 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
With $100 from each side, the $200 pot is split on average as $101.66 for T9o and $98.34 for 33; the first side gains $1.66 per all-in and the second gives up $1.66.
Out of 1,000 deals you should see around 501 outright wins for T9o, 485 for 33, and 14 split pots.
The same matchup from the other side
T9o against 33 adds nothing new: it is 50.83% for T9o and 49.17% for 33, the same figures reversed.
Keep exploring
Try 3s3h against Td9c 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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