KTo
60.89%
Wins 60.53%, ties 0.72%
43s
39.11%
Wins 38.75%, ties 0.72%
KTo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 60.533 | 0.718 | 38.749 | 60.892 |
| 43s | 38.749 | 0.718 | 60.533 | 39.108 |
Here an offsuit hand (KTo) meets a suited hand (43s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 21.78 point lead is real, and 43s still takes about 388 of every 1,000 deals outright. The tie share is 0.72%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, KTo is number 33 of the 169 starting hands and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 49,752,000 | 590,000 | 31,848,000 |
| 43s | 31,848,000 | 590,000 | 49,752,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTo | 1.557 | 1.652 | 2.581 | 0.642 |
| 43s | 0.642 | 2.581 | 1.652 | 1.557 |
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
Break the boards down by their first three cards and KTo is strongest on rainbow flops topped by a ten or better (68.75%) and weakest on low rainbow flops (nine high or lower) (36.40%). The overall edge for KTo hides low rainbow flops (nine high or lower), where 43s comes out in front.
| Flop | Share of flops | KTo wins | Ties | 43s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.571 | 0.355 | 31.074 | 68.748 |
| Rainbow, nine or lower | 6.313 | 35.976 | 0.844 | 63.180 | 36.398 |
| Two-tone | 46.667 | 59.072 | 0.427 | 40.501 | 59.286 |
| Monotone | 5.212 | 57.709 | 2.627 | 39.664 | 59.023 |
| Paired | 17.091 | 62.827 | 1.412 | 35.761 | 63.533 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, KTo holds 59.74% and 43s holds 38.64%. Facing each other changes that by +1.15 points for KTo and +0.47 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 60.892 | 59.739 | +1.153 | 1.01930 |
| KTo, rainbow, ten or higher | 68.748 | 59.739 | +9.009 | 1.15081 |
| KTo, rainbow, nine or lower | 36.398 | 59.739 | -23.341 | 0.60928 |
| KTo, two-tone | 59.286 | 59.739 | -0.453 | 0.99242 |
| KTo, monotone | 59.023 | 59.739 | -0.716 | 0.98801 |
| KTo, paired | 63.533 | 59.739 | +3.794 | 1.06351 |
| 43s, all flops | 39.108 | 38.642 | +0.466 | 1.01206 |
| 43s, rainbow, ten or higher | 31.252 | 38.642 | -7.390 | 0.80876 |
| 43s, rainbow, nine or lower | 63.602 | 38.642 | +24.960 | 1.64593 |
| 43s, two-tone | 40.714 | 38.642 | +2.072 | 1.05362 |
| 43s, monotone | 40.977 | 38.642 | +2.335 | 1.06043 |
| 43s, paired | 36.467 | 38.642 | -2.175 | 0.94371 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KTo has 61.61%; looking only at deals where they do not, 60.18%. KTo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 43s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.230 | 0.755 | 38.015 | 61.608 |
| No shared suit | 24 | 50.00 | 59.835 | 0.681 | 39.484 | 60.176 |
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
With $100 from each side, the $200 pot is split on average as $121.78 for KTo and $78.22 for 43s; the first side gains $21.78 per all-in and the second gives up $21.78.
In 1,000 deals of exactly this matchup, expect about 605 won outright by KTo, about 388 won outright by 43s and about 7 split.
The same matchup from the other side
One page covers both views. From 43s' side the equity is 39.11%, and from KTo's side it is 60.89%.
Keep exploring
Open the calculator with KsTh against 4d3d 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
This is an exact count with no sampling. For the 48 ways to deal one KTo and one 43s 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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