TT
67.98%
Wins 66.93%, ties 2.10%
KTo
32.02%
Wins 30.97%, ties 2.10%
TT against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 66.927 | 2.103 | 30.970 | 67.978 |
| KTo | 30.970 | 2.103 | 66.927 | 32.022 |
The first hand is a pocket pair; the second is an offsuit hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
TT is well ahead, and KTo needs a specific kind of board to catch up. Split pots make up 2.10% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, TT holds place 5 of 169 and KTo holds place 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 41,256,000 | 1,296,000 | 19,091,000 |
| KTo | 19,091,000 | 1,296,000 | 41,256,000 |
The total is exact: 36 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 | 2.123 | 1.494 | 3.229 | 0.471 |
| KTo | 0.471 | 3.229 | 1.494 | 2.123 |
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
By flop texture, TT's equity runs from 61.21% on monotone flops up to 85.03% 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 | KTo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 60.399 | 2.063 | 37.538 | 61.430 |
| Rainbow, nine or lower | 7.771 | 83.279 | 3.496 | 13.225 | 85.027 |
| Two-tone | 46.215 | 65.483 | 2.311 | 32.206 | 66.639 |
| Monotone | 5.130 | 59.922 | 2.575 | 37.503 | 61.209 |
| Paired | 17.831 | 73.999 | 0.870 | 25.131 | 74.434 |
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
Compared with a random opponent, this matchup shifts TT from 75.01% by -7.03 points and KTo from 59.74% by -27.72 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 67.978 | 75.012 | -7.034 | 0.90623 |
| TT, rainbow, ten or higher | 61.430 | 75.012 | -13.582 | 0.81894 |
| TT, rainbow, nine or lower | 85.027 | 75.012 | +10.015 | 1.13351 |
| TT, two-tone | 66.639 | 75.012 | -8.373 | 0.88838 |
| TT, monotone | 61.209 | 75.012 | -13.803 | 0.81599 |
| TT, paired | 74.434 | 75.012 | -0.578 | 0.99229 |
| KTo, all flops | 32.022 | 59.739 | -27.717 | 0.53603 |
| KTo, rainbow, ten or higher | 38.570 | 59.739 | -21.169 | 0.64564 |
| KTo, rainbow, nine or lower | 14.973 | 59.739 | -44.766 | 0.25064 |
| KTo, two-tone | 33.361 | 59.739 | -26.378 | 0.55845 |
| KTo, monotone | 38.791 | 59.739 | -20.948 | 0.64934 |
| KTo, paired | 25.566 | 59.739 | -34.173 | 0.42796 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and TT holds 67.91%. In 12 they do not, and it holds 68.12%. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | TT wins | Ties | KTo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 66.840 | 2.138 | 31.022 | 67.909 |
| No shared suit | 12 | 33.33 | 67.103 | 2.031 | 30.866 | 68.118 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are TT in one seat and KTo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average TT takes back $135.96 of it, which is $35.96 more than it put in, and KTo takes back $64.04, $35.96 less than it put in.
Over a long run, 1,000 deals split into about 669 for TT, 310 for KTo and 21 tied.
The same matchup from the other side
One page covers both views. From KTo's side the equity is 32.02%, and from TT's side it is 67.98%.
Keep exploring
Try TsTh against KdTc 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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