TT
77.86%
Wins 77.59%, ties 0.53%
54s
22.14%
Wins 21.88%, ties 0.53%
TT against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 77.592 | 0.531 | 21.877 | 77.857 |
| 54s | 21.877 | 0.531 | 77.592 | 22.143 |
TT, a pocket pair, plays 54s, a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
That is a clear edge, 77.86% to 22.14%, but 54s still wins often enough that one hand proves nothing. The tie share is 0.53%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, TT is number 5 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 31,887,000 | 218,000 | 8,990,000 |
| 54s | 8,990,000 | 218,000 | 31,887,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| TT | 3.516 | 1.289 | 4.571 | 0.284 |
| 54s | 0.284 | 4.571 | 1.289 | 3.516 |
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
Rainbow flops topped by a ten or better are the best for TT (82.96%); low rainbow flops (nine high or lower) are the worst (64.98%). 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 | 54s wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 82.814 | 0.285 | 16.901 | 82.956 |
| Rainbow, nine or lower | 6.314 | 64.615 | 0.733 | 34.652 | 64.982 |
| Two-tone | 46.545 | 75.749 | 0.358 | 23.893 | 75.928 |
| Monotone | 5.212 | 71.619 | 2.513 | 25.868 | 72.875 |
| Paired | 17.334 | 81.654 | 0.674 | 17.672 | 81.991 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, TT changes by +2.85 points (baseline 75.01%) and 54s by -19.31 points (baseline 41.45%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 77.857 | 75.012 | +2.845 | 1.03793 |
| TT, rainbow, ten or higher | 82.956 | 75.012 | +7.944 | 1.10590 |
| TT, rainbow, nine or lower | 64.982 | 75.012 | -10.030 | 0.86629 |
| TT, two-tone | 75.928 | 75.012 | +0.916 | 1.01221 |
| TT, monotone | 72.875 | 75.012 | -2.137 | 0.97151 |
| TT, paired | 81.991 | 75.012 | +6.979 | 1.09304 |
| 54s, all flops | 22.143 | 41.453 | -19.310 | 0.53417 |
| 54s, rainbow, ten or higher | 17.044 | 41.453 | -24.409 | 0.41116 |
| 54s, rainbow, nine or lower | 35.018 | 41.453 | -6.435 | 0.84476 |
| 54s, two-tone | 24.072 | 41.453 | -17.381 | 0.58071 |
| 54s, monotone | 27.125 | 41.453 | -14.328 | 0.65436 |
| 54s, paired | 18.009 | 41.453 | -23.444 | 0.43444 |
Does a shared suit matter?
The suit split reads 78.42% for TT with a shared suit and 77.30% without one. TT does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | 54s wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 78.129 | 0.575 | 21.296 | 78.417 |
| No shared suit | 12 | 50.00 | 77.054 | 0.487 | 22.459 | 77.298 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are TT against 54s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: TT averages $155.72 back, ahead of its $100 by $55.72, while 54s averages $44.28, short of its $100 by $55.72.
Think in thousands: about 776 of 1,000 go to TT, about 219 go to 54s, and about 5 are chopped.
The same matchup from the other side
Swap the hands and you get 54s with 22.14% against TT with 77.86%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in TsTh against 5d4d, 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
This is an exact count with no sampling. For the 24 ways to deal one TT and one 54s 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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