TT
78.96%
Wins 78.74%, ties 0.45%
76s
21.04%
Wins 20.81%, ties 0.45%
TT against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 78.737 | 0.449 | 20.814 | 78.962 |
| 76s | 20.814 | 0.449 | 78.737 | 21.038 |
One side is a pocket pair, the other is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
A lead of 57.92 points is large but not decisive: 76s still takes about 208 of every 1,000 deals. A split pot comes up on 0.45% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, TT holds place 5 of 169 and 76s holds place 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 32,357,000 | 185,000 | 8,554,000 |
| 76s | 8,554,000 | 185,000 | 32,357,000 |
24 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) |
|---|---|---|---|---|
| TT | 3.753 | 1.270 | 4.804 | 0.266 |
| 76s | 0.266 | 4.804 | 1.270 | 3.753 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, TT peaks at 84.48% on rainbow flops topped by a ten or better and bottoms out at 65.03% on low rainbow flops (nine high or lower). TT 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 | TT wins | Ties | 76s wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.360 | 0.235 | 15.405 | 84.477 |
| Rainbow, nine or lower | 6.314 | 64.816 | 0.433 | 34.751 | 65.033 |
| Two-tone | 46.545 | 76.924 | 0.263 | 22.813 | 77.055 |
| Monotone | 5.212 | 72.432 | 2.389 | 25.179 | 73.626 |
| Paired | 17.334 | 82.595 | 0.674 | 16.731 | 82.932 |
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
Compared with a random opponent, this matchup shifts TT from 75.01% by +3.95 points and 76s from 45.37% by -24.33 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 78.962 | 75.012 | +3.950 | 1.05266 |
| TT, rainbow, ten or higher | 84.477 | 75.012 | +9.465 | 1.12618 |
| TT, rainbow, nine or lower | 65.033 | 75.012 | -9.979 | 0.86697 |
| TT, two-tone | 77.055 | 75.012 | +2.043 | 1.02724 |
| TT, monotone | 73.626 | 75.012 | -1.386 | 0.98152 |
| TT, paired | 82.932 | 75.012 | +7.920 | 1.10558 |
| 76s, all flops | 21.038 | 45.372 | -24.334 | 0.46368 |
| 76s, rainbow, ten or higher | 15.523 | 45.372 | -29.849 | 0.34213 |
| 76s, rainbow, nine or lower | 34.967 | 45.372 | -10.405 | 0.77067 |
| 76s, two-tone | 22.945 | 45.372 | -22.427 | 0.50571 |
| 76s, monotone | 26.374 | 45.372 | -18.998 | 0.58128 |
| 76s, paired | 17.068 | 45.372 | -28.304 | 0.37618 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common TT has 79.52% equity, and with none in common it has 78.40%. TT does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | 76s wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.274 | 0.492 | 20.234 | 79.520 |
| No shared suit | 12 | 50.00 | 78.201 | 0.405 | 21.394 | 78.404 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $157.92 of it on average and 76s gets $42.08.
Think in thousands: about 787 of 1,000 go to TT, about 208 go to 76s, and about 5 are chopped.
The same matchup from the other side
The reversed view, 76s against TT, shows 21.04% for 76s and 78.96% for TT. It is the same count, so it redirects here.
Keep exploring
Open the calculator with TsTh against 7d6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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