KTo
59.67%
Wins 59.34%, ties 0.67%
65s
40.33%
Wins 39.99%, ties 0.67%
KTo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 59.335 | 0.669 | 39.996 | 59.670 |
| 65s | 39.996 | 0.669 | 59.335 | 40.330 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
KTo is ahead, but 65s is far from dead: it takes 400 of every 1,000 deals outright. Ties are 0.67% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, KTo is number 33 and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 48,768,000 | 550,000 | 32,873,000 |
| 65s | 32,873,000 | 550,000 | 48,768,000 |
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) |
|---|---|---|---|---|
| KTo | 1.480 | 1.685 | 2.500 | 0.676 |
| 65s | 0.676 | 2.500 | 1.685 | 1.480 |
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
KTo prefers rainbow flops topped by a ten or better, where it holds 68.29%, and likes low rainbow flops (nine high or lower) least, where it holds 31.91%. On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.
| Flop | Share of flops | KTo wins | Ties | 65s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.133 | 0.321 | 31.546 | 68.294 |
| Rainbow, nine or lower | 6.313 | 31.569 | 0.677 | 67.754 | 31.907 |
| Two-tone | 46.667 | 57.941 | 0.372 | 41.687 | 58.127 |
| Monotone | 5.212 | 56.860 | 2.486 | 40.654 | 58.103 |
| Paired | 17.091 | 61.432 | 1.424 | 37.144 | 62.144 |
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, KTo changes by -0.07 points (baseline 59.74%) and 65s by -2.80 points (baseline 43.13%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 59.670 | 59.739 | -0.069 | 0.99884 |
| KTo, rainbow, ten or higher | 68.294 | 59.739 | +8.555 | 1.14321 |
| KTo, rainbow, nine or lower | 31.907 | 59.739 | -27.832 | 0.53411 |
| KTo, two-tone | 58.127 | 59.739 | -1.612 | 0.97302 |
| KTo, monotone | 58.103 | 59.739 | -1.636 | 0.97261 |
| KTo, paired | 62.144 | 59.739 | +2.405 | 1.04026 |
| 65s, all flops | 40.330 | 43.133 | -2.803 | 0.93501 |
| 65s, rainbow, ten or higher | 31.706 | 43.133 | -11.427 | 0.73508 |
| 65s, rainbow, nine or lower | 68.093 | 43.133 | +24.960 | 1.57868 |
| 65s, two-tone | 41.873 | 43.133 | -1.260 | 0.97079 |
| 65s, monotone | 41.897 | 43.133 | -1.236 | 0.97134 |
| 65s, paired | 37.856 | 43.133 | -5.277 | 0.87766 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KTo has 60.37%; looking only at deals where they do not, 58.97%. KTo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 65s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.011 | 0.710 | 39.279 | 60.366 |
| No shared suit | 24 | 50.00 | 58.660 | 0.627 | 40.713 | 58.973 |
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
With $100 from each side, the $200 pot is split on average as $119.34 for KTo and $80.66 for 65s; the first side gains $19.34 per all-in and the second gives up $19.34.
Per 1,000 deals: KTo wins about 593, 65s wins about 400, and about 7 end in a split pot.
The same matchup from the other side
65s against KTo adds nothing new: it is 40.33% for 65s and 59.67% for KTo, the same figures reversed.
Keep exploring
Open the calculator with KsTh against 6d5d 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 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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