55
52.25%
Wins 51.97%, ties 0.56%
KTo
47.75%
Wins 47.47%, ties 0.56%
55 against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 51.971 | 0.561 | 47.468 | 52.252 |
| KTo | 47.468 | 0.561 | 51.971 | 47.748 |
The matchup pits a pocket pair against an offsuit hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
With only 4.50 points between them, the board decides this matchup far more than the cards in hand. Ties are 0.56% of the outcomes here; each tied board gives both hands half the pot.
For context, 55 sits at number 27 of 169 starting hands and KTo at number 33 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 64,073,000 | 692,000 | 58,521,000 |
| KTo | 58,521,000 | 692,000 | 64,073,000 |
The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 55 | 1.094 | 1.924 | 2.107 | 0.914 |
| KTo | 0.914 | 2.107 | 1.924 | 1.094 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and 55 is strongest on low rainbow flops (nine high or lower) (78.14%) and weakest on rainbow flops topped by a ten or better (45.11%). The lead reverses on rainbow flops topped by a ten or better and monotone flops: there KTo is the favorite even though 55 is ahead overall.
| Flop | Share of flops | 55 wins | Ties | KTo wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 44.955 | 0.304 | 54.741 | 45.107 |
| Rainbow, nine or lower | 6.314 | 77.767 | 0.737 | 21.496 | 78.135 |
| Two-tone | 46.485 | 51.388 | 0.379 | 48.233 | 51.578 |
| Monotone | 5.151 | 48.609 | 1.898 | 49.493 | 49.558 |
| Paired | 17.333 | 55.142 | 0.956 | 43.902 | 55.620 |
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
Each hand has a baseline against a random hand: 60.33% for 55, 59.74% for KTo. Here the change is -8.08 and -11.99 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 52.252 | 60.325 | -8.073 | 0.86617 |
| 55, rainbow, ten or higher | 45.107 | 60.325 | -15.218 | 0.74773 |
| 55, rainbow, nine or lower | 78.135 | 60.325 | +17.810 | 1.29523 |
| 55, two-tone | 51.578 | 60.325 | -8.747 | 0.85500 |
| 55, monotone | 49.558 | 60.325 | -10.767 | 0.82152 |
| 55, paired | 55.620 | 60.325 | -4.705 | 0.92201 |
| KTo, all flops | 47.748 | 59.739 | -11.991 | 0.79928 |
| KTo, rainbow, ten or higher | 54.893 | 59.739 | -4.846 | 0.91888 |
| KTo, rainbow, nine or lower | 21.865 | 59.739 | -37.874 | 0.36601 |
| KTo, two-tone | 48.422 | 59.739 | -11.317 | 0.81056 |
| KTo, monotone | 50.442 | 59.739 | -9.297 | 0.84437 |
| KTo, paired | 44.380 | 59.739 | -15.359 | 0.74290 |
Does a shared suit matter?
When the hands share a suit, 55 holds 52.17%; when they do not, it holds 52.68%. 55 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | KTo wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 51.878 | 0.576 | 47.546 | 52.166 |
| No shared suit | 12 | 16.67 | 52.440 | 0.487 | 47.073 | 52.684 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 55 is worth $104.50 on average (+$4.50); KTo is worth $95.50 (-$4.50).
Think in thousands: about 520 of 1,000 go to 55, about 475 go to KTo, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From KTo's side the equity is 47.75%, and from 55's side it is 52.25%.
Keep exploring
Open the calculator with 5s5h against KdTc 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 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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