T9s
63.65%
Wins 62.80%, ties 1.69%
76s
36.35%
Wins 35.51%, ties 1.69%
T9s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 62.801 | 1.694 | 35.505 | 63.648 |
| 76s | 35.505 | 1.694 | 62.801 | 36.352 |
Both hands are suited hands: T9s and 76s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
T9s is ahead, but 76s is far from dead: it takes 355 of every 1,000 deals outright. Of every 100 boards, about 1.69 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, T9s is number 64 of the 169 starting hands and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,206,000 | 464,000 | 9,727,000 |
| 76s | 9,727,000 | 464,000 | 17,206,000 |
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) |
|---|---|---|---|---|
| T9s | 1.751 | 1.592 | 2.817 | 0.571 |
| 76s | 0.571 | 2.817 | 1.592 | 1.751 |
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
The flop changes the picture. T9s does best on rainbow flops topped by a ten or better, at 68.06%, and worst on low rainbow flops (nine high or lower), at 48.14%. On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | T9s wins | Ties | 76s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.509 | 1.101 | 31.390 | 68.060 |
| Rainbow, nine or lower | 5.689 | 48.004 | 0.265 | 51.731 | 48.136 |
| Two-tone | 46.727 | 62.858 | 0.865 | 36.277 | 63.290 |
| Monotone | 5.273 | 58.950 | 3.823 | 37.227 | 60.862 |
| Paired | 17.091 | 61.810 | 4.658 | 33.532 | 64.139 |
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
Compared with a random opponent, this matchup shifts T9s from 54.03% by +9.62 points and 76s from 45.37% by -9.02 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 63.648 | 54.028 | +9.620 | 1.17806 |
| T9s, rainbow, ten or higher | 68.060 | 54.028 | +14.032 | 1.25972 |
| T9s, rainbow, nine or lower | 48.136 | 54.028 | -5.892 | 0.89095 |
| T9s, two-tone | 63.290 | 54.028 | +9.262 | 1.17143 |
| T9s, monotone | 60.862 | 54.028 | +6.834 | 1.12649 |
| T9s, paired | 64.139 | 54.028 | +10.111 | 1.18714 |
| 76s, all flops | 36.352 | 45.372 | -9.020 | 0.80120 |
| 76s, rainbow, ten or higher | 31.940 | 45.372 | -13.432 | 0.70396 |
| 76s, rainbow, nine or lower | 51.864 | 45.372 | +6.492 | 1.14308 |
| 76s, two-tone | 36.710 | 45.372 | -8.662 | 0.80909 |
| 76s, monotone | 39.138 | 45.372 | -6.234 | 0.86260 |
| 76s, paired | 35.861 | 45.372 | -9.511 | 0.79038 |
Does a shared suit matter?
When the hands share a suit, T9s holds 66.08%; when they do not, it holds 62.84%. T9s does better with a shared suit, by 3.24 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 76s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.163 | 1.837 | 33.000 | 66.081 |
| No shared suit | 12 | 75.00 | 62.013 | 1.647 | 36.340 | 62.837 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Take a $200 pot built from $100 each. T9s' equity of 63.65% is worth $127.30, a $27.30 edge, and 76s' 36.35% is worth $72.70, which is $27.30 under its stake.
Out of 1,000 deals you should see around 628 outright wins for T9s, 355 for 76s, and 17 split pots.
The same matchup from the other side
76s against T9s adds nothing new: it is 36.35% for 76s and 63.65% for T9s, the same figures reversed.
Keep exploring
Ts9s against 7h6h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of T9s against 76s, 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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