55
49.97%
Wins 49.58%, ties 0.78%
JTo
50.03%
Wins 49.64%, ties 0.78%
55 against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 49.582 | 0.775 | 49.643 | 49.969 |
| JTo | 49.643 | 0.775 | 49.582 | 50.031 |
55 is a pocket pair and JTo is 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.
The split is even enough that who is called the favorite depends on the fourth decimal. Of every 100 boards, about 0.78 are split pots, and the equity figures already include them.
For context, 55 sits at number 27 of 169 starting hands and JTo at number 57 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 61,128,000 | 955,000 | 61,203,000 |
| JTo | 61,203,000 | 955,000 | 61,128,000 |
The total is exact: 72 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) |
|---|---|---|---|---|
| 55 | 0.999 | 2.017 | 2.014 | 1.001 |
| JTo | 1.001 | 2.014 | 2.017 | 0.999 |
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
Across the five flop textures JTo's equity moves by 29.06 points, from 27.66% on low rainbow flops (nine high or lower) to 56.72% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower) and paired flops: there 55 is the favorite even though JTo is ahead overall.
| Flop | Share of flops | 55 wins | Ties | JTo wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 43.064 | 0.439 | 56.497 | 43.283 |
| Rainbow, nine or lower | 6.314 | 72.030 | 0.624 | 27.346 | 72.342 |
| Two-tone | 46.485 | 48.809 | 0.464 | 50.727 | 49.041 |
| Monotone | 5.151 | 46.712 | 1.990 | 51.298 | 47.707 |
| Paired | 17.333 | 53.626 | 1.781 | 44.593 | 54.517 |
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
The table below sets each hand against its own random-hand baseline: a change of -10.36 points for 55, from 60.33%, and -5.22 for JTo, from 55.25%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 49.969 | 60.325 | -10.356 | 0.82833 |
| 55, rainbow, ten or higher | 43.283 | 60.325 | -17.042 | 0.71750 |
| 55, rainbow, nine or lower | 72.342 | 60.325 | +12.017 | 1.19920 |
| 55, two-tone | 49.041 | 60.325 | -11.284 | 0.81295 |
| 55, monotone | 47.707 | 60.325 | -12.618 | 0.79083 |
| 55, paired | 54.517 | 60.325 | -5.808 | 0.90372 |
| JTo, all flops | 50.031 | 55.248 | -5.217 | 0.90557 |
| JTo, rainbow, ten or higher | 56.717 | 55.248 | +1.469 | 1.02659 |
| JTo, rainbow, nine or lower | 27.658 | 55.248 | -27.590 | 0.50062 |
| JTo, two-tone | 50.959 | 55.248 | -4.289 | 0.92237 |
| JTo, monotone | 52.293 | 55.248 | -2.955 | 0.94651 |
| JTo, paired | 45.483 | 55.248 | -9.765 | 0.82325 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JTo has 50.12%; looking only at deals where they do not, 49.57%. JTo does better with a shared suit, by 0.55 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | JTo wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 49.481 | 0.790 | 49.729 | 49.876 |
| No shared suit | 12 | 16.67 | 50.084 | 0.701 | 49.215 | 50.435 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says JTo gets $100.06 of it on average and 55 gets $99.94.
Think in thousands: about 496 of 1,000 go to JTo, about 496 go to 55, and about 8 are chopped.
The same matchup from the other side
One page covers both views. From JTo's side the equity is 50.03%, and from 55's side it is 49.97%.
Keep exploring
Open the calculator with 5s5h against JdTc 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 55 against JTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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