KJo
60.44%
Wins 60.08%, ties 0.72%
53s
39.56%
Wins 39.20%, ties 0.72%
KJo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 60.077 | 0.716 | 39.207 | 60.435 |
| 53s | 39.207 | 0.716 | 60.077 | 39.565 |
KJo is an offsuit hand and 53s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
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 0.72 are split pots, and the equity figures already include them.
Place 26 of 169 belongs to KJo and place 146 belongs to 53s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,378,000 | 588,000 | 32,224,000 |
| 53s | 32,224,000 | 588,000 | 49,378,000 |
The total is exact: 48 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 | 1.527 | 1.665 | 2.551 | 0.655 |
| 53s | 0.655 | 2.551 | 1.665 | 1.527 |
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
The flop changes the picture. KJo does best on rainbow flops topped by a ten or better, at 68.58%, and worst on low rainbow flops (nine high or lower), at 34.49%. On low rainbow flops (nine high or lower) the numbers flip and 53s is the one ahead.
| Flop | Share of flops | KJo wins | Ties | 53s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.417 | 0.316 | 31.267 | 68.575 |
| Rainbow, nine or lower | 6.313 | 33.987 | 1.002 | 65.011 | 34.488 |
| Two-tone | 46.667 | 58.593 | 0.429 | 40.978 | 58.807 |
| Monotone | 5.212 | 57.363 | 2.569 | 40.068 | 58.648 |
| Paired | 17.091 | 62.533 | 1.404 | 36.063 | 63.235 |
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
Relative to a random opponent, KJo changes by -0.13 points (baseline 60.57%) and 53s by -0.13 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.435 | 60.569 | -0.134 | 0.99779 |
| KJo, rainbow, ten or higher | 68.575 | 60.569 | +8.006 | 1.13218 |
| KJo, rainbow, nine or lower | 34.488 | 60.569 | -26.081 | 0.56940 |
| KJo, two-tone | 58.807 | 60.569 | -1.762 | 0.97091 |
| KJo, monotone | 58.648 | 60.569 | -1.921 | 0.96828 |
| KJo, paired | 63.235 | 60.569 | +2.666 | 1.04402 |
| 53s, all flops | 39.565 | 39.693 | -0.128 | 0.99678 |
| 53s, rainbow, ten or higher | 31.425 | 39.693 | -8.268 | 0.79170 |
| 53s, rainbow, nine or lower | 65.512 | 39.693 | +25.819 | 1.65047 |
| 53s, two-tone | 41.193 | 39.693 | +1.500 | 1.03779 |
| 53s, monotone | 41.352 | 39.693 | +1.659 | 1.04180 |
| 53s, paired | 36.765 | 39.693 | -2.928 | 0.92623 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and KJo holds 61.15%. In 24 they do not, and it holds 59.72%. KJo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 53s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.769 | 0.755 | 38.476 | 61.147 |
| No shared suit | 24 | 50.00 | 59.385 | 0.676 | 39.939 | 59.723 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KJo averages $120.88 from the $200, up $20.88; 53s averages $79.12, down $20.88.
A thousand deals look like this: KJo takes 601, 53s takes 392, 7 are ties.
The same matchup from the other side
The reversed view, 53s against KJo, shows 39.56% for 53s and 60.44% for KJo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with KsJh against 5d3d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
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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