KJo
60.64%
Wins 60.30%, ties 0.68%
64s
39.36%
Wins 39.02%, ties 0.68%
KJo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 60.303 | 0.679 | 39.018 | 60.643 |
| 64s | 39.018 | 0.679 | 60.303 | 39.357 |
KJo is an offsuit hand and 64s is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.68 are split pots, and the equity figures already include them.
Place 26 of 169 belongs to KJo and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,563,000 | 558,000 | 32,069,000 |
| 64s | 32,069,000 | 558,000 | 49,563,000 |
48 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) |
|---|---|---|---|---|
| KJo | 1.541 | 1.658 | 2.563 | 0.649 |
| 64s | 0.649 | 2.563 | 1.658 | 1.541 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
KJo prefers rainbow flops topped by a ten or better, where it holds 69.25%, and likes low rainbow flops (nine high or lower) least, where it holds 33.39%. Low rainbow flops (nine high or lower) favor 64s, the hand that is behind overall.
| Flop | Share of flops | KJo wins | Ties | 64s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.105 | 0.291 | 30.604 | 69.250 |
| Rainbow, nine or lower | 6.313 | 32.962 | 0.860 | 66.178 | 33.392 |
| Two-tone | 46.667 | 58.894 | 0.384 | 40.722 | 59.086 |
| Monotone | 5.212 | 57.561 | 2.497 | 39.942 | 58.809 |
| Paired | 17.091 | 62.360 | 1.424 | 36.216 | 63.072 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KJo from 60.57% by +0.07 points and 64s from 41.33% by -1.97 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.643 | 60.569 | +0.074 | 1.00122 |
| KJo, rainbow, ten or higher | 69.250 | 60.569 | +8.681 | 1.14332 |
| KJo, rainbow, nine or lower | 33.392 | 60.569 | -27.177 | 0.55131 |
| KJo, two-tone | 59.086 | 60.569 | -1.483 | 0.97552 |
| KJo, monotone | 58.809 | 60.569 | -1.760 | 0.97094 |
| KJo, paired | 63.072 | 60.569 | +2.503 | 1.04132 |
| 64s, all flops | 39.357 | 41.333 | -1.976 | 0.95219 |
| 64s, rainbow, ten or higher | 30.750 | 41.333 | -10.583 | 0.74396 |
| 64s, rainbow, nine or lower | 66.608 | 41.333 | +25.275 | 1.61150 |
| 64s, two-tone | 40.914 | 41.333 | -0.419 | 0.98986 |
| 64s, monotone | 41.191 | 41.333 | -0.142 | 0.99656 |
| 64s, paired | 36.928 | 41.333 | -4.405 | 0.89343 |
Does a shared suit matter?
The suit split reads 61.36% for KJo with a shared suit and 59.93% without one. KJo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 64s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.000 | 0.720 | 38.280 | 61.360 |
| No shared suit | 24 | 50.00 | 59.607 | 0.638 | 39.755 | 59.926 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Take a $200 pot built from $100 each. KJo's equity of 60.64% is worth $121.28, a $21.28 edge, and 64s' 39.36% is worth $78.72, which is $21.28 under its stake.
Run 1,000 deals and the tally comes out near 603 for KJo, 390 for 64s and 7 ties.
The same matchup from the other side
One page covers both views. From 64s' side the equity is 39.36%, and from KJo's side it is 60.64%.
Keep exploring
KsJh against 6d4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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