TT
53.69%
Wins 53.49%, ties 0.41%
KQs
46.31%
Wins 46.10%, ties 0.41%
TT against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 53.488 | 0.412 | 46.100 | 53.694 |
| KQs | 46.100 | 0.412 | 53.488 | 46.306 |
TT and KQs are a pocket pair and a suited hand, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with TT a little ahead. The tie share is 0.41%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, TT is number 5 of the 169 starting hands and KQs is number 16.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 21,981,000 | 169,000 | 18,945,000 |
| KQs | 18,945,000 | 169,000 | 21,981,000 |
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 | 1.160 | 1.870 | 2.169 | 0.862 |
| KQs | 0.862 | 2.169 | 1.870 | 1.160 |
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
TT prefers low rainbow flops (nine high or lower), where it holds 72.61%, and likes rainbow flops topped by a ten or better least, where it holds 47.53%. TT is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | TT wins | Ties | KQs wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 47.459 | 0.135 | 52.406 | 47.527 |
| Rainbow, nine or lower | 7.771 | 72.114 | 0.990 | 26.896 | 72.609 |
| Two-tone | 46.545 | 51.302 | 0.317 | 48.381 | 51.461 |
| Monotone | 5.212 | 50.830 | 2.398 | 46.772 | 52.029 |
| Paired | 17.334 | 59.857 | 0.176 | 39.967 | 59.945 |
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
A random hand would give TT 75.01% and KQs 63.40%. Against each other the change is -21.32 points for TT and -17.09 for KQs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 53.694 | 75.012 | -21.318 | 0.71581 |
| TT, rainbow, ten or higher | 47.527 | 75.012 | -27.485 | 0.63359 |
| TT, rainbow, nine or lower | 72.609 | 75.012 | -2.403 | 0.96797 |
| TT, two-tone | 51.461 | 75.012 | -23.551 | 0.68604 |
| TT, monotone | 52.029 | 75.012 | -22.983 | 0.69361 |
| TT, paired | 59.945 | 75.012 | -15.067 | 0.79914 |
| KQs, all flops | 46.306 | 63.400 | -17.094 | 0.73038 |
| KQs, rainbow, ten or higher | 52.473 | 63.400 | -10.927 | 0.82765 |
| KQs, rainbow, nine or lower | 27.391 | 63.400 | -36.009 | 0.43203 |
| KQs, two-tone | 48.539 | 63.400 | -14.861 | 0.76560 |
| KQs, monotone | 47.971 | 63.400 | -15.429 | 0.75664 |
| KQs, paired | 40.055 | 63.400 | -23.345 | 0.63178 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, TT has 53.83%; looking only at deals where they do not, 53.56%. TT does better with a shared suit, by 0.27 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | KQs wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.606 | 0.453 | 45.941 | 53.832 |
| No shared suit | 12 | 50.00 | 53.371 | 0.370 | 46.259 | 53.556 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are TT in one seat and KQs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Take a $200 pot built from $100 each. TT's equity of 53.69% is worth $107.38, a $7.38 edge, and KQs' 46.31% is worth $92.62, which is $7.38 under its stake.
Per 1,000 deals: TT wins about 535, KQs wins about 461, and about 4 end in a split pot.
The same matchup from the other side
KQs versus TT is this same page seen from the other hand: 46.31% for KQs, 53.69% for TT.
Keep exploring
Try TsTh against KdQd 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 KQs 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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