T8s
64.17%
Wins 63.24%, ties 1.85%
75s
35.83%
Wins 34.91%, ties 1.85%
T8s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T8s | 63.244 | 1.851 | 34.905 | 64.169 |
| 75s | 34.905 | 1.851 | 63.244 | 35.831 |
Both hands are suited hands: T8s and 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 1.85% of the outcomes here; each tied board gives both hands half the pot.
T8s ranks number 73 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T8s | 17,327,000 | 507,000 | 9,563,000 |
| 75s | 9,563,000 | 507,000 | 17,327,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| T8s | 1.791 | 1.581 | 2.865 | 0.558 |
| 75s | 0.558 | 2.865 | 1.581 | 1.791 |
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
If you know the kind of flop that came, the numbers shift: T8s holds 68.24% on rainbow flops topped by a ten or better and 50.28% on low rainbow flops (nine high or lower). T8s 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 | T8s wins | Ties | 75s wins | T8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.610 | 1.267 | 31.123 | 68.244 |
| Rainbow, nine or lower | 5.689 | 50.111 | 0.345 | 49.544 | 50.283 |
| Two-tone | 46.727 | 63.271 | 0.995 | 35.734 | 63.769 |
| Monotone | 5.273 | 59.252 | 3.912 | 36.836 | 61.208 |
| Paired | 17.091 | 62.327 | 4.920 | 32.753 | 64.787 |
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
A random hand would give T8s 52.33% and 75s 43.68%. Against each other the change is +11.84 points for T8s and -7.85 for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T8s, all flops | 64.169 | 52.334 | +11.835 | 1.22614 |
| T8s, rainbow, ten or higher | 68.244 | 52.334 | +15.910 | 1.30401 |
| T8s, rainbow, nine or lower | 50.283 | 52.334 | -2.051 | 0.96081 |
| T8s, two-tone | 63.769 | 52.334 | +11.435 | 1.21850 |
| T8s, monotone | 61.208 | 52.334 | +8.874 | 1.16956 |
| T8s, paired | 64.787 | 52.334 | +12.453 | 1.23795 |
| 75s, all flops | 35.831 | 43.676 | -7.845 | 0.82038 |
| 75s, rainbow, ten or higher | 31.756 | 43.676 | -11.920 | 0.72708 |
| 75s, rainbow, nine or lower | 49.717 | 43.676 | +6.041 | 1.13831 |
| 75s, two-tone | 36.231 | 43.676 | -7.445 | 0.82954 |
| 75s, monotone | 38.792 | 43.676 | -4.884 | 0.88818 |
| 75s, paired | 35.213 | 43.676 | -8.463 | 0.80623 |
Does a shared suit matter?
Does suit overlap move the numbers? T8s has 66.68% when the hands share a suit and 63.33% when they do not. T8s does better with a shared suit, by 3.35 points.
| Deals | Specific deals | Share of deals | T8s wins | Ties | 75s wins | T8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.680 | 2.005 | 32.315 | 66.682 |
| No shared suit | 12 | 75.00 | 62.431 | 1.800 | 35.769 | 63.331 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are T8s in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $128.34 for T8s and $71.66 for 75s; the first side gains $28.34 per all-in and the second gives up $28.34.
In 1,000 deals of exactly this matchup, expect about 632 won outright by T8s, about 349 won outright by 75s and about 19 split.
The same matchup from the other side
75s against T8s adds nothing new: it is 35.83% for 75s and 64.17% for T8s, the same figures reversed.
Keep exploring
Try Ts8s against 7h5h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of T8s against 75s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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