KJs
49.80%
Wins 49.52%, ties 0.57%
55
50.20%
Wins 49.91%, ties 0.57%
KJs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 49.520 | 0.566 | 49.914 | 49.803 |
| 55 | 49.914 | 0.566 | 49.520 | 50.197 |
We compare a suited hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
With only 0.40 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.57% of boards end in a split pot, and each side counts that as half a win.
KJs ranks number 20 of 169 starting hands, and 55 ranks number 27, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 20,350,000 | 233,000 | 20,512,000 |
| 55 | 20,512,000 | 233,000 | 20,350,000 |
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) |
|---|---|---|---|---|
| KJs | 0.992 | 2.019 | 2.003 | 1.008 |
| 55 | 1.008 | 2.003 | 2.019 | 0.992 |
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
Split by what the flop looks like, 55 peaks at 77.42% on low rainbow flops (nine high or lower) and bottoms out at 43.89% on rainbow flops topped by a ten or better. The overall edge for 55 hides rainbow flops topped by a ten or better and two-tone flops, where KJs comes out in front.
| Flop | Share of flops | KJs wins | Ties | 55 wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 55.985 | 0.254 | 43.761 | 56.112 |
| Rainbow, nine or lower | 6.314 | 22.199 | 0.772 | 77.029 | 22.585 |
| Two-tone | 46.545 | 51.186 | 0.337 | 48.477 | 51.354 |
| Monotone | 5.212 | 48.538 | 2.631 | 48.831 | 49.854 |
| Paired | 17.334 | 46.124 | 0.926 | 52.950 | 46.587 |
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
The table below sets each hand against its own random-hand baseline: a change of -12.77 points for KJs, from 62.57%, and -10.13 for 55, from 60.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 49.803 | 62.567 | -12.764 | 0.79599 |
| KJs, rainbow, ten or higher | 56.112 | 62.567 | -6.455 | 0.89683 |
| KJs, rainbow, nine or lower | 22.585 | 62.567 | -39.982 | 0.36097 |
| KJs, two-tone | 51.354 | 62.567 | -11.213 | 0.82078 |
| KJs, monotone | 49.854 | 62.567 | -12.713 | 0.79681 |
| KJs, paired | 46.587 | 62.567 | -15.980 | 0.74459 |
| 55, all flops | 50.197 | 60.325 | -10.128 | 0.83211 |
| 55, rainbow, ten or higher | 43.888 | 60.325 | -16.437 | 0.72753 |
| 55, rainbow, nine or lower | 77.415 | 60.325 | +17.090 | 1.28330 |
| 55, two-tone | 48.646 | 60.325 | -11.679 | 0.80640 |
| 55, monotone | 50.146 | 60.325 | -10.179 | 0.83126 |
| 55, paired | 53.413 | 60.325 | -6.912 | 0.88542 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 55 has 50.37% equity, and with none in common it has 50.03%. 55 does better with a shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | 55 wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.328 | 0.609 | 50.063 | 49.632 |
| No shared suit | 12 | 50.00 | 49.713 | 0.523 | 49.764 | 49.975 |
How often this matchup comes up
KJs against 55 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
To see what the equity is worth, imagine $100 each in a $200 pot. 55 is worth $100.40 on average (+$0.40); KJs is worth $99.60 (-$0.40).
Think in thousands: about 499 of 1,000 go to 55, about 495 go to KJs, and about 6 are chopped.
The same matchup from the other side
55 against KJs adds nothing new: it is 50.20% for 55 and 49.80% for KJs, the same figures reversed.
Keep exploring
The calculator link fills in KsJs against 5h5d, 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 KJs 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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