K9o
60.68%
Wins 60.31%, ties 0.73%
43s
39.32%
Wins 38.96%, ties 0.73%
K9o against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 60.313 | 0.734 | 38.953 | 60.680 |
| 43s | 38.953 | 0.734 | 60.313 | 39.320 |
The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
K9o is ahead, but 43s is far from dead: it takes 390 of every 1,000 deals outright. Ties are part of the picture: 0.73% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, K9o is number 40 of the 169 starting hands and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 49,572,000 | 603,000 | 32,016,000 |
| 43s | 32,016,000 | 603,000 | 49,572,000 |
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) |
|---|---|---|---|---|
| K9o | 1.543 | 1.658 | 2.567 | 0.648 |
| 43s | 0.648 | 2.567 | 1.658 | 1.543 |
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
K9o prefers rainbow flops topped by a ten or better, where it holds 65.20%, and likes low rainbow flops (nine high or lower) least, where it holds 47.35%. On low rainbow flops (nine high or lower) the numbers flip and 43s is the one ahead.
| Flop | Share of flops | K9o wins | Ties | 43s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 65.014 | 0.366 | 34.620 | 65.197 |
| Rainbow, nine or lower | 5.689 | 46.880 | 0.930 | 52.190 | 47.345 |
| Two-tone | 46.667 | 58.825 | 0.439 | 40.736 | 59.045 |
| Monotone | 5.212 | 57.508 | 2.633 | 39.859 | 58.825 |
| Paired | 17.091 | 62.730 | 1.444 | 35.826 | 63.452 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 57.81% for K9o, 38.64% for 43s. Here the change is +2.87 and +0.68 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 60.680 | 57.812 | +2.868 | 1.04961 |
| K9o, rainbow, ten or higher | 65.197 | 57.812 | +7.385 | 1.12774 |
| K9o, rainbow, nine or lower | 47.345 | 57.812 | -10.467 | 0.81895 |
| K9o, two-tone | 59.045 | 57.812 | +1.233 | 1.02133 |
| K9o, monotone | 58.825 | 57.812 | +1.013 | 1.01752 |
| K9o, paired | 63.452 | 57.812 | +5.640 | 1.09756 |
| 43s, all flops | 39.320 | 38.642 | +0.678 | 1.01755 |
| 43s, rainbow, ten or higher | 34.803 | 38.642 | -3.839 | 0.90065 |
| 43s, rainbow, nine or lower | 52.655 | 38.642 | +14.013 | 1.36264 |
| 43s, two-tone | 40.955 | 38.642 | +2.313 | 1.05986 |
| 43s, monotone | 41.175 | 38.642 | +2.533 | 1.06555 |
| 43s, paired | 36.548 | 38.642 | -2.094 | 0.94581 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 61.40%. In 24 they do not, and it holds 59.97%. K9o does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 43s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.009 | 0.772 | 38.219 | 61.395 |
| No shared suit | 24 | 50.00 | 59.616 | 0.697 | 39.687 | 59.965 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. K9o averages $121.36 from the $200, up $21.36; 43s averages $78.64, down $21.36.
Per 1,000 deals: K9o wins about 603, 43s wins about 390, and about 7 end in a split pot.
The same matchup from the other side
43s versus K9o is this same page seen from the other hand: 39.32% for 43s, 60.68% for K9o.
Keep exploring
The calculator link fills in Ks9h against 4d3d, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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