KTo
60.85%
Wins 60.49%, ties 0.71%
53s
39.15%
Wins 38.80%, ties 0.71%
KTo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 60.488 | 0.714 | 38.798 | 60.845 |
| 53s | 38.798 | 0.714 | 60.488 | 39.155 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.71% of the outcomes here; each tied board gives both hands half the pot.
For context, KTo sits at number 33 of 169 starting hands and 53s at number 146 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 49,715,000 | 587,000 | 31,888,000 |
| 53s | 31,888,000 | 587,000 | 49,715,000 |
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 | 1.554 | 1.653 | 2.577 | 0.644 |
| 53s | 0.644 | 2.577 | 1.653 | 1.554 |
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
By flop texture, KTo's equity runs from 36.34% on low rainbow flops (nine high or lower) up to 68.74% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 53s is the favorite even though KTo is ahead overall.
| Flop | Share of flops | KTo wins | Ties | 53s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.559 | 0.355 | 31.086 | 68.737 |
| Rainbow, nine or lower | 6.313 | 35.916 | 0.844 | 63.240 | 36.338 |
| Two-tone | 46.667 | 59.051 | 0.427 | 40.522 | 59.264 |
| Monotone | 5.212 | 57.683 | 2.565 | 39.752 | 58.965 |
| Paired | 17.091 | 62.672 | 1.408 | 35.920 | 63.376 |
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
Relative to a random opponent, KTo changes by +1.11 points (baseline 59.74%) and 53s by -0.54 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 60.845 | 59.739 | +1.106 | 1.01851 |
| KTo, rainbow, ten or higher | 68.737 | 59.739 | +8.998 | 1.15062 |
| KTo, rainbow, nine or lower | 36.338 | 59.739 | -23.401 | 0.60828 |
| KTo, two-tone | 59.264 | 59.739 | -0.475 | 0.99205 |
| KTo, monotone | 58.965 | 59.739 | -0.774 | 0.98704 |
| KTo, paired | 63.376 | 59.739 | +3.637 | 1.06088 |
| 53s, all flops | 39.155 | 39.693 | -0.538 | 0.98645 |
| 53s, rainbow, ten or higher | 31.263 | 39.693 | -8.430 | 0.78762 |
| 53s, rainbow, nine or lower | 63.662 | 39.693 | +23.969 | 1.60386 |
| 53s, two-tone | 40.736 | 39.693 | +1.043 | 1.02628 |
| 53s, monotone | 41.035 | 39.693 | +1.342 | 1.03381 |
| 53s, paired | 36.624 | 39.693 | -3.069 | 0.92268 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and KTo holds 61.56%. In 24 they do not, and it holds 60.13%. KTo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 53s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.184 | 0.755 | 38.061 | 61.562 |
| No shared suit | 24 | 50.00 | 59.791 | 0.674 | 39.535 | 60.128 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $121.70 for KTo and $78.30 for 53s; the first side gains $21.70 per all-in and the second gives up $21.70.
In 1,000 deals of exactly this matchup, expect about 605 won outright by KTo, about 388 won outright by 53s and about 7 split.
The same matchup from the other side
53s versus KTo is this same page seen from the other hand: 39.15% for 53s, 60.85% for KTo.
Keep exploring
KsTh against 5d3d 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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