T9s
53.08%
Wins 52.38%, ties 1.40%
33
46.92%
Wins 46.22%, ties 1.40%
T9s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 52.376 | 1.404 | 46.220 | 53.078 |
| 33 | 46.220 | 1.404 | 52.376 | 46.922 |
T9s, a suited hand, plays 33, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
That is a slim edge: neither hand is far ahead. The tie share is 1.40%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, T9s is number 64 and 33 is number 66 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 21,524,000 | 577,000 | 18,994,000 |
| 33 | 18,994,000 | 577,000 | 21,524,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| T9s | 1.131 | 1.909 | 2.164 | 0.884 |
| 33 | 0.884 | 2.164 | 1.909 | 1.131 |
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
Split by what the flop looks like, T9s peaks at 54.49% on two-tone flops and bottoms out at 46.52% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 33 is the favorite even though T9s is ahead overall.
| Flop | Share of flops | T9s wins | Ties | 33 wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 53.713 | 0.795 | 45.492 | 54.110 |
| Rainbow, nine or lower | 5.689 | 46.236 | 0.562 | 53.202 | 46.517 |
| Two-tone | 46.545 | 54.127 | 0.720 | 45.153 | 54.487 |
| Monotone | 5.212 | 50.609 | 3.502 | 45.889 | 52.360 |
| Paired | 17.334 | 48.273 | 3.770 | 47.957 | 50.158 |
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
Relative to a random opponent, T9s changes by -0.95 points (baseline 54.03%) and 33 by -6.77 points (baseline 53.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 53.078 | 54.028 | -0.950 | 0.98242 |
| T9s, rainbow, ten or higher | 54.110 | 54.028 | +0.082 | 1.00152 |
| T9s, rainbow, nine or lower | 46.517 | 54.028 | -7.511 | 0.86098 |
| T9s, two-tone | 54.487 | 54.028 | +0.459 | 1.00850 |
| T9s, monotone | 52.360 | 54.028 | -1.668 | 0.96913 |
| T9s, paired | 50.158 | 54.028 | -3.870 | 0.92837 |
| 33, all flops | 46.922 | 53.693 | -6.771 | 0.87389 |
| 33, rainbow, ten or higher | 45.890 | 53.693 | -7.803 | 0.85467 |
| 33, rainbow, nine or lower | 53.483 | 53.693 | -0.210 | 0.99609 |
| 33, two-tone | 45.513 | 53.693 | -8.180 | 0.84765 |
| 33, monotone | 47.640 | 53.693 | -6.053 | 0.88727 |
| 33, paired | 49.842 | 53.693 | -3.851 | 0.92828 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common T9s has 52.94% equity, and with none in common it has 53.22%. T9s does better with no shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 33 wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.222 | 1.435 | 46.343 | 52.939 |
| No shared suit | 12 | 50.00 | 52.529 | 1.373 | 46.098 | 53.216 |
How often this matchup comes up
T9s against 33 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
To see what the equity is worth, imagine $100 each in a $200 pot. T9s is worth $106.16 on average (+$6.16); 33 is worth $93.84 (-$6.16).
A thousand deals look like this: T9s takes 524, 33 takes 462, 14 are ties.
The same matchup from the other side
If you came looking for 33 against T9s, the numbers are the same with the hands swapped: 46.92% and 53.08%.
Keep exploring
Ts9s against 3h3d 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
We counted every case. Each suit pattern of the 24 specific T9s against 33 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.
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