KJo
59.34%
Wins 59.01%, ties 0.67%
65s
40.66%
Wins 40.32%, ties 0.67%
KJo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 59.008 | 0.669 | 40.323 | 59.343 |
| 65s | 40.323 | 0.669 | 59.008 | 40.657 |
One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 18.68 point lead is real, and 65s still takes about 403 of every 1,000 deals outright. The tie share is 0.67%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, KJo is number 26 and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 48,499,000 | 550,000 | 33,142,000 |
| 65s | 33,142,000 | 550,000 | 48,499,000 |
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 | 1.460 | 1.695 | 2.480 | 0.685 |
| 65s | 0.685 | 2.480 | 1.695 | 1.460 |
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
Rainbow flops topped by a ten or better are the best for KJo (68.17%); low rainbow flops (nine high or lower) are the worst (30.46%). 65s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | KJo wins | Ties | 65s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.023 | 0.291 | 31.686 | 68.169 |
| Rainbow, nine or lower | 6.313 | 30.061 | 0.791 | 69.148 | 30.457 |
| Two-tone | 46.667 | 57.570 | 0.374 | 42.056 | 57.757 |
| Monotone | 5.212 | 56.580 | 2.490 | 40.930 | 57.825 |
| Paired | 17.091 | 61.333 | 1.419 | 37.248 | 62.043 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 60.57% for KJo, 43.13% for 65s. Here the change is -1.23 and -2.47 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 59.343 | 60.569 | -1.226 | 0.97976 |
| KJo, rainbow, ten or higher | 68.169 | 60.569 | +7.600 | 1.12548 |
| KJo, rainbow, nine or lower | 30.457 | 60.569 | -30.112 | 0.50285 |
| KJo, two-tone | 57.757 | 60.569 | -2.812 | 0.95357 |
| KJo, monotone | 57.825 | 60.569 | -2.744 | 0.95470 |
| KJo, paired | 62.043 | 60.569 | +1.474 | 1.02434 |
| 65s, all flops | 40.657 | 43.133 | -2.476 | 0.94260 |
| 65s, rainbow, ten or higher | 31.831 | 43.133 | -11.302 | 0.73797 |
| 65s, rainbow, nine or lower | 69.543 | 43.133 | +26.410 | 1.61229 |
| 65s, two-tone | 42.243 | 43.133 | -0.890 | 0.97937 |
| 65s, monotone | 42.175 | 43.133 | -0.958 | 0.97779 |
| 65s, paired | 37.957 | 43.133 | -5.176 | 0.88000 |
Does a shared suit matter?
Does suit overlap move the numbers? KJo has 60.04% when the hands share a suit and 58.65% when they do not. KJo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 65s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.680 | 0.710 | 39.610 | 60.035 |
| No shared suit | 24 | 50.00 | 58.336 | 0.627 | 41.037 | 58.650 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Take a $200 pot built from $100 each. KJo's equity of 59.34% is worth $118.68, a $18.68 edge, and 65s' 40.66% is worth $81.32, which is $18.68 under its stake.
Per 1,000 deals: KJo wins about 590, 65s wins about 403, and about 7 end in a split pot.
The same matchup from the other side
Swap the hands and you get 65s with 40.66% against KJo with 59.34%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
KsJh against 6d5d 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
This is an exact count with no sampling. For the 48 ways to deal one KJo and one 65s 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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