TT
79.41%
Wins 79.17%, ties 0.49%
64s
20.59%
Wins 20.34%, ties 0.49%
TT against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 79.166 | 0.492 | 20.342 | 79.412 |
| 64s | 20.342 | 0.492 | 79.166 | 20.588 |
TT and 64s are a pocket pair and a suited hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
TT is well ahead, and 64s needs a specific kind of board to catch up. Ties are 0.49% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts TT at 5 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 32,534,000 | 202,000 | 8,360,000 |
| 64s | 8,360,000 | 202,000 | 32,534,000 |
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 | 3.857 | 1.263 | 4.916 | 0.259 |
| 64s | 0.259 | 4.916 | 1.263 | 3.857 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, TT peaks at 85.18% on rainbow flops topped by a ten or better and bottoms out at 65.11% 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 | 64s wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 85.059 | 0.249 | 14.692 | 85.184 |
| Rainbow, nine or lower | 6.314 | 64.788 | 0.643 | 34.569 | 65.109 |
| Two-tone | 46.545 | 77.422 | 0.313 | 22.265 | 77.579 |
| Monotone | 5.212 | 72.845 | 2.446 | 24.709 | 74.068 |
| Paired | 17.334 | 82.624 | 0.674 | 16.702 | 82.961 |
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
Start from the random-hand figures, 75.01% for TT and 41.33% for 64s. This opponent changes them by +4.40 and -20.74 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 79.412 | 75.012 | +4.400 | 1.05866 |
| TT, rainbow, ten or higher | 85.184 | 75.012 | +10.172 | 1.13560 |
| TT, rainbow, nine or lower | 65.109 | 75.012 | -9.903 | 0.86798 |
| TT, two-tone | 77.579 | 75.012 | +2.567 | 1.03422 |
| TT, monotone | 74.068 | 75.012 | -0.944 | 0.98742 |
| TT, paired | 82.961 | 75.012 | +7.949 | 1.10597 |
| 64s, all flops | 20.588 | 41.333 | -20.745 | 0.49810 |
| 64s, rainbow, ten or higher | 14.816 | 41.333 | -26.517 | 0.35845 |
| 64s, rainbow, nine or lower | 34.891 | 41.333 | -6.442 | 0.84414 |
| 64s, two-tone | 22.421 | 41.333 | -18.912 | 0.54245 |
| 64s, monotone | 25.932 | 41.333 | -15.401 | 0.62739 |
| 64s, paired | 17.039 | 41.333 | -24.294 | 0.41224 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and TT holds 79.99%. In 12 they do not, and it holds 78.83%. TT does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | 64s wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.723 | 0.536 | 19.741 | 79.991 |
| No shared suit | 12 | 50.00 | 78.609 | 0.448 | 20.943 | 78.833 |
How often this matchup comes up
TT against 64s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $158.82 for TT and $41.18 for 64s; the first side gains $58.82 per all-in and the second gives up $58.82.
Think in thousands: about 792 of 1,000 go to TT, about 203 go to 64s, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From 64s' side the equity is 20.59%, and from TT's side it is 79.41%.
Keep exploring
Try TsTh against 6d4d 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
This is an exact count with no sampling. For the 24 ways to deal one TT and one 64s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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