T9o
61.25%
Wins 60.40%, ties 1.71%
76s
38.75%
Wins 37.89%, ties 1.71%
T9o against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 60.398 | 1.707 | 37.895 | 61.251 |
| 76s | 37.895 | 1.707 | 60.398 | 38.749 |
T9o, an offsuit hand, plays 76s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
T9o is ahead, but 76s is far from dead: it takes 379 of every 1,000 deals outright. Ties are 1.71% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, T9o is number 78 and 76s is number 115 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 49,641,000 | 1,403,000 | 31,146,000 |
| 76s | 31,146,000 | 1,403,000 | 49,641,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| T9o | 1.581 | 1.656 | 2.639 | 0.633 |
| 76s | 0.633 | 2.639 | 1.656 | 1.581 |
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
By flop texture, T9o's equity runs from 46.21% on low rainbow flops (nine high or lower) up to 66.64% on rainbow flops topped by a ten or better. The overall edge for T9o hides low rainbow flops (nine high or lower), where 76s comes out in front.
| Flop | Share of flops | T9o wins | Ties | 76s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 66.077 | 1.126 | 32.797 | 66.640 |
| Rainbow, nine or lower | 5.689 | 46.074 | 0.275 | 53.651 | 46.212 |
| Two-tone | 46.667 | 59.635 | 0.913 | 39.452 | 60.092 |
| Monotone | 5.212 | 58.184 | 2.881 | 38.935 | 59.625 |
| Paired | 17.091 | 59.502 | 4.855 | 35.643 | 61.929 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts T9o from 51.53% by +9.72 points and 76s from 45.37% by -6.62 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 61.251 | 51.532 | +9.719 | 1.18860 |
| T9o, rainbow, ten or higher | 66.640 | 51.532 | +15.108 | 1.29318 |
| T9o, rainbow, nine or lower | 46.212 | 51.532 | -5.320 | 0.89676 |
| T9o, two-tone | 60.092 | 51.532 | +8.560 | 1.16611 |
| T9o, monotone | 59.625 | 51.532 | +8.093 | 1.15705 |
| T9o, paired | 61.929 | 51.532 | +10.397 | 1.20176 |
| 76s, all flops | 38.749 | 45.372 | -6.623 | 0.85403 |
| 76s, rainbow, ten or higher | 33.360 | 45.372 | -12.012 | 0.73526 |
| 76s, rainbow, nine or lower | 53.788 | 45.372 | +8.416 | 1.18549 |
| 76s, two-tone | 39.908 | 45.372 | -5.464 | 0.87957 |
| 76s, monotone | 40.375 | 45.372 | -4.997 | 0.88987 |
| 76s, paired | 38.071 | 45.372 | -7.301 | 0.83909 |
Does a shared suit matter?
When the hands share a suit, T9o holds 61.94%; when they do not, it holds 60.57%. T9o does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 76s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.062 | 1.751 | 37.187 | 61.937 |
| No shared suit | 24 | 50.00 | 59.734 | 1.663 | 38.603 | 60.565 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says T9o gets $122.50 of it on average and 76s gets $77.50.
Over a long run, 1,000 deals split into about 604 for T9o, 379 for 76s and 17 tied.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 38.75%, and from T9o's side it is 61.25%.
Keep exploring
The calculator link fills in Ts9h against 7d6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 48 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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