KTs
50.22%
Wins 49.93%, ties 0.58%
55
49.78%
Wins 49.49%, ties 0.58%
KTs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 49.930 | 0.581 | 49.489 | 50.221 |
| 55 | 49.489 | 0.581 | 49.930 | 49.779 |
The first hand is a suited hand; the second is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
That is a slim edge: neither hand is far ahead. A split pot comes up on 0.58% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, KTs is number 22 and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 20,519,000 | 239,000 | 20,338,000 |
| 55 | 20,338,000 | 239,000 | 20,519,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 1.009 | 2.003 | 2.021 | 0.991 |
| 55 | 0.991 | 2.021 | 2.003 | 1.009 |
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
Across the five flop textures KTs' equity moves by 31.80 points, from 24.48% on low rainbow flops (nine high or lower) to 56.28% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) and paired flops the numbers flip and 55 is the one ahead.
| Flop | Share of flops | KTs wins | Ties | 55 wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 56.129 | 0.293 | 43.578 | 56.275 |
| Rainbow, nine or lower | 6.314 | 24.121 | 0.709 | 75.170 | 24.476 |
| Two-tone | 46.545 | 51.643 | 0.355 | 48.002 | 51.820 |
| Monotone | 5.212 | 48.860 | 2.642 | 48.498 | 50.181 |
| Paired | 17.334 | 46.261 | 0.930 | 52.809 | 46.726 |
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
Start from the random-hand figures, 61.79% for KTs and 60.33% for 55. This opponent changes them by -11.57 and -10.55 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 50.221 | 61.789 | -11.568 | 0.81278 |
| KTs, rainbow, ten or higher | 56.275 | 61.789 | -5.514 | 0.91076 |
| KTs, rainbow, nine or lower | 24.476 | 61.789 | -37.313 | 0.39612 |
| KTs, two-tone | 51.820 | 61.789 | -9.969 | 0.83866 |
| KTs, monotone | 50.181 | 61.789 | -11.608 | 0.81213 |
| KTs, paired | 46.726 | 61.789 | -15.063 | 0.75622 |
| 55, all flops | 49.779 | 60.325 | -10.546 | 0.82518 |
| 55, rainbow, ten or higher | 43.725 | 60.325 | -16.600 | 0.72482 |
| 55, rainbow, nine or lower | 75.524 | 60.325 | +15.199 | 1.25195 |
| 55, two-tone | 48.180 | 60.325 | -12.145 | 0.79867 |
| 55, monotone | 49.819 | 60.325 | -10.506 | 0.82584 |
| 55, paired | 53.274 | 60.325 | -7.051 | 0.88312 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and KTs holds 50.06%. In 12 they do not, and it holds 50.39%. KTs does better with no shared suit, by 0.33 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | 55 wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.743 | 0.623 | 49.634 | 50.055 |
| No shared suit | 12 | 50.00 | 50.117 | 0.539 | 49.344 | 50.387 |
How often this matchup comes up
Counting specific cards, KTs against 55 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KTs' average share is $100.44 (a gain of $0.44) and 55's is $99.56 (a loss of $0.44).
Out of 1,000 deals you should see around 499 outright wins for KTs, 495 for 55, and 6 split pots.
The same matchup from the other side
55 against KTs adds nothing new: it is 49.78% for 55 and 50.22% for KTs, the same figures reversed.
Keep exploring
Try KsTs against 5h5d 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 KTs and one 55 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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