KJo
47.86%
Wins 47.53%, ties 0.65%
44
52.14%
Wins 51.82%, ties 0.65%
KJo against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 47.534 | 0.645 | 51.821 | 47.857 |
| 44 | 51.821 | 0.645 | 47.534 | 52.143 |
KJo and 44 are an offsuit hand and a pocket pair, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. 0.65% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, KJo holds place 26 of 169 and 44 holds place 48.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 58,603,000 | 795,000 | 63,888,000 |
| 44 | 63,888,000 | 795,000 | 58,603,000 |
The total is exact: 72 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) |
|---|---|---|---|---|
| KJo | 0.918 | 2.104 | 1.930 | 1.090 |
| 44 | 1.090 | 1.930 | 2.104 | 0.918 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Across the five flop textures 44's equity moves by 34.38 points, from 45.03% on rainbow flops topped by a ten or better to 79.41% on low rainbow flops (nine high or lower). 44 is the favorite overall but falls behind on rainbow flops topped by a ten or better and monotone flops.
| Flop | Share of flops | KJo wins | Ties | 44 wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 54.827 | 0.294 | 44.879 | 54.974 |
| Rainbow, nine or lower | 6.314 | 20.102 | 0.986 | 78.912 | 20.595 |
| Two-tone | 46.485 | 48.036 | 0.420 | 51.544 | 48.246 |
| Monotone | 5.151 | 49.420 | 2.077 | 48.503 | 50.459 |
| Paired | 17.333 | 45.222 | 1.199 | 53.579 | 45.822 |
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
The table below sets each hand against its own random-hand baseline: a change of -12.71 points for KJo, from 60.57%, and -4.88 for 44, from 57.02%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 47.857 | 60.569 | -12.712 | 0.79012 |
| KJo, rainbow, ten or higher | 54.974 | 60.569 | -5.595 | 0.90763 |
| KJo, rainbow, nine or lower | 20.595 | 60.569 | -39.974 | 0.34003 |
| KJo, two-tone | 48.246 | 60.569 | -12.323 | 0.79655 |
| KJo, monotone | 50.459 | 60.569 | -10.110 | 0.83308 |
| KJo, paired | 45.822 | 60.569 | -14.747 | 0.75653 |
| 44, all flops | 52.143 | 57.023 | -4.880 | 0.91442 |
| 44, rainbow, ten or higher | 45.026 | 57.023 | -11.997 | 0.78961 |
| 44, rainbow, nine or lower | 79.405 | 57.023 | +22.382 | 1.39251 |
| 44, two-tone | 51.754 | 57.023 | -5.269 | 0.90760 |
| 44, monotone | 49.541 | 57.023 | -7.482 | 0.86879 |
| 44, paired | 54.178 | 57.023 | -2.845 | 0.95011 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 44 holds 52.06%. In 12 they do not, and it holds 52.57%. 44 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 44 wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.613 | 0.658 | 51.729 | 47.942 |
| No shared suit | 12 | 16.67 | 47.144 | 0.578 | 52.278 | 47.433 |
How often this matchup comes up
Counting specific cards, KJo against 44 appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
With $100 from each side, the $200 pot is split on average as $104.28 for 44 and $95.72 for KJo; the first side gains $4.28 per all-in and the second gives up $4.28.
Think in thousands: about 518 of 1,000 go to 44, about 475 go to KJo, and about 7 are chopped.
The same matchup from the other side
44 against KJo adds nothing new: it is 52.14% for 44 and 47.86% for KJo, the same figures reversed.
Keep exploring
The calculator link fills in KsJh against 4d4c, 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
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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