KJo
60.80%
Wins 60.44%, ties 0.73%
43s
39.20%
Wins 38.83%, ties 0.73%
KJo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 60.438 | 0.731 | 38.831 | 60.803 |
| 43s | 38.831 | 0.731 | 60.438 | 39.197 |
KJo and 43s are an offsuit hand and a suited hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.73% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, KJo holds place 26 of 169 and 43s holds place 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,674,000 | 601,000 | 31,915,000 |
| 43s | 31,915,000 | 601,000 | 49,674,000 |
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 | 1.551 | 1.655 | 2.575 | 0.645 |
| 43s | 0.645 | 2.575 | 1.655 | 1.551 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
By flop texture, KJo's equity runs from 35.76% on low rainbow flops (nine high or lower) up to 68.77% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 43s holds the better equity.
| Flop | Share of flops | KJo wins | Ties | 43s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.610 | 0.316 | 31.074 | 68.768 |
| Rainbow, nine or lower | 6.313 | 35.219 | 1.081 | 63.700 | 35.760 |
| Two-tone | 46.667 | 58.959 | 0.442 | 40.599 | 59.180 |
| Monotone | 5.212 | 57.629 | 2.636 | 39.735 | 58.947 |
| Paired | 17.091 | 62.831 | 1.408 | 35.761 | 63.535 |
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
Start from the random-hand figures, 60.57% for KJo and 38.64% for 43s. This opponent changes them by +0.23 and +0.56 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.803 | 60.569 | +0.234 | 1.00386 |
| KJo, rainbow, ten or higher | 68.768 | 60.569 | +8.199 | 1.13537 |
| KJo, rainbow, nine or lower | 35.760 | 60.569 | -24.809 | 0.59040 |
| KJo, two-tone | 59.180 | 60.569 | -1.389 | 0.97707 |
| KJo, monotone | 58.947 | 60.569 | -1.622 | 0.97322 |
| KJo, paired | 63.535 | 60.569 | +2.966 | 1.04897 |
| 43s, all flops | 39.197 | 38.642 | +0.555 | 1.01436 |
| 43s, rainbow, ten or higher | 31.232 | 38.642 | -7.410 | 0.80824 |
| 43s, rainbow, nine or lower | 64.240 | 38.642 | +25.598 | 1.66244 |
| 43s, two-tone | 40.820 | 38.642 | +2.178 | 1.05636 |
| 43s, monotone | 41.053 | 38.642 | +2.411 | 1.06239 |
| 43s, paired | 36.465 | 38.642 | -2.177 | 0.94366 |
Does a shared suit matter?
The suit split reads 61.52% for KJo with a shared suit and 60.09% without one. KJo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 43s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.135 | 0.767 | 38.098 | 61.519 |
| No shared suit | 24 | 50.00 | 59.741 | 0.694 | 39.565 | 60.088 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KJo against 43s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: KJo averages $121.60 back, ahead of its $100 by $21.60, while 43s averages $78.40, short of its $100 by $21.60.
A thousand deals look like this: KJo takes 605, 43s takes 388, 7 are ties.
The same matchup from the other side
43s against KJo adds nothing new: it is 39.20% for 43s and 60.80% for KJo, the same figures reversed.
Keep exploring
KsJh against 4d3d 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
Nothing here is simulated. The 48 deals of KJo against 43s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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