T9s
64.56%
Wins 63.69%, ties 1.74%
75s
35.44%
Wins 34.57%, ties 1.74%
T9s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 63.690 | 1.739 | 34.571 | 64.559 |
| 75s | 34.571 | 1.739 | 63.690 | 35.441 |
The matchup is suited hands on both sides, T9s against 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
T9s is ahead, but 75s is far from dead: it takes 346 of every 1,000 deals outright. Split pots make up 1.74% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, T9s is number 64 and 75s is number 124 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,449,000 | 476,000 | 9,471,000 |
| 75s | 9,471,000 | 476,000 | 17,449,000 |
The board total is exact, 16 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 | 1.822 | 1.570 | 2.893 | 0.549 |
| 75s | 0.549 | 2.893 | 1.570 | 1.822 |
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
T9s prefers rainbow flops topped by a ten or better, where it holds 68.83%, and likes low rainbow flops (nine high or lower) least, where it holds 50.28%. T9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | T9s wins | Ties | 75s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 68.253 | 1.144 | 30.603 | 68.825 |
| Rainbow, nine or lower | 5.689 | 50.088 | 0.392 | 49.520 | 50.284 |
| Two-tone | 46.727 | 63.767 | 0.916 | 35.317 | 64.225 |
| Monotone | 5.273 | 59.702 | 3.862 | 36.436 | 61.633 |
| Paired | 17.091 | 62.500 | 4.662 | 32.838 | 64.831 |
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, T9s holds 54.03% and 75s holds 43.68%. Facing each other changes that by +10.53 points for T9s and -8.24 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 64.559 | 54.028 | +10.531 | 1.19492 |
| T9s, rainbow, ten or higher | 68.825 | 54.028 | +14.797 | 1.27388 |
| T9s, rainbow, nine or lower | 50.284 | 54.028 | -3.744 | 0.93070 |
| T9s, two-tone | 64.225 | 54.028 | +10.197 | 1.18874 |
| T9s, monotone | 61.633 | 54.028 | +7.605 | 1.14076 |
| T9s, paired | 64.831 | 54.028 | +10.803 | 1.19995 |
| 75s, all flops | 35.441 | 43.676 | -8.235 | 0.81145 |
| 75s, rainbow, ten or higher | 31.175 | 43.676 | -12.501 | 0.71378 |
| 75s, rainbow, nine or lower | 49.716 | 43.676 | +6.040 | 1.13829 |
| 75s, two-tone | 35.775 | 43.676 | -7.901 | 0.81910 |
| 75s, monotone | 38.367 | 43.676 | -5.309 | 0.87845 |
| 75s, paired | 35.169 | 43.676 | -8.507 | 0.80522 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (T9s at 67.08%) and 12 do not (63.72%). T9s does better with a shared suit, by 3.36 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 75s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 66.132 | 1.886 | 31.982 | 67.075 |
| No shared suit | 12 | 75.00 | 62.875 | 1.690 | 35.435 | 63.720 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average T9s takes back $129.12 of it, which is $29.12 more than it put in, and 75s takes back $70.88, $29.12 less than it put in.
Out of 1,000 deals you should see around 637 outright wins for T9s, 346 for 75s, and 17 split pots.
The same matchup from the other side
75s versus T9s is this same page seen from the other hand: 35.44% for 75s, 64.56% for T9s.
Keep exploring
Ts9s against 7h5h 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 16 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.
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