JTo
60.26%
Wins 59.68%, ties 1.17%
54s
39.74%
Wins 39.15%, ties 1.17%
JTo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTo | 59.678 | 1.171 | 39.151 | 60.263 |
| 54s | 39.151 | 1.171 | 59.678 | 39.737 |
JTo is an offsuit hand and 54s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
JTo is ahead, but 54s is far from dead: it takes 391 of every 1,000 deals outright. Split pots make up 1.17% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, JTo holds place 57 of 169 and 54s holds place 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTo | 49,050,000 | 962,000 | 32,178,000 |
| 54s | 32,178,000 | 962,000 | 49,050,000 |
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) |
|---|---|---|---|---|
| JTo | 1.517 | 1.676 | 2.554 | 0.659 |
| 54s | 0.659 | 2.554 | 1.676 | 1.517 |
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
Across the five flop textures JTo's equity moves by 30.66 points, from 37.29% on low rainbow flops (nine high or lower) to 67.95% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | JTo wins | Ties | 54s wins | JTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.624 | 0.644 | 31.732 | 67.946 |
| Rainbow, nine or lower | 6.313 | 36.954 | 0.668 | 62.378 | 37.288 |
| Two-tone | 46.667 | 58.584 | 0.617 | 40.799 | 58.892 |
| Monotone | 5.212 | 57.333 | 2.718 | 39.949 | 58.692 |
| Paired | 17.091 | 60.284 | 3.156 | 36.560 | 61.862 |
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
Compared with a random opponent, this matchup shifts JTo from 55.25% by +5.01 points and 54s from 41.45% by -1.71 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTo, all flops | 60.263 | 55.248 | +5.015 | 1.09077 |
| JTo, rainbow, ten or higher | 67.946 | 55.248 | +12.698 | 1.22984 |
| JTo, rainbow, nine or lower | 37.288 | 55.248 | -17.960 | 0.67492 |
| JTo, two-tone | 58.892 | 55.248 | +3.644 | 1.06596 |
| JTo, monotone | 58.692 | 55.248 | +3.444 | 1.06234 |
| JTo, paired | 61.862 | 55.248 | +6.614 | 1.11971 |
| 54s, all flops | 39.737 | 41.453 | -1.716 | 0.95860 |
| 54s, rainbow, ten or higher | 32.054 | 41.453 | -9.399 | 0.77326 |
| 54s, rainbow, nine or lower | 62.712 | 41.453 | +21.259 | 1.51285 |
| 54s, two-tone | 41.108 | 41.453 | -0.345 | 0.99168 |
| 54s, monotone | 41.308 | 41.453 | -0.145 | 0.99650 |
| 54s, paired | 38.138 | 41.453 | -3.315 | 0.92003 |
Does a shared suit matter?
Does suit overlap move the numbers? JTo has 60.96% when the hands share a suit and 59.56% when they do not. JTo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | JTo wins | Ties | 54s wins | JTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.358 | 1.212 | 38.430 | 60.964 |
| No shared suit | 24 | 50.00 | 58.998 | 1.129 | 39.873 | 59.563 |
How often this matchup comes up
Counting specific cards, JTo against 54s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. JTo is worth $120.52 on average (+$20.52); 54s is worth $79.48 (-$20.52).
Scaled to 1,000 deals, that is roughly 597 wins for JTo, 391 for 54s and 12 chopped pots.
The same matchup from the other side
One page covers both views. From 54s' side the equity is 39.74%, and from JTo's side it is 60.26%.
Keep exploring
Try JsTh against 5d4d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 48 specific JTo against 54s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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