J9s
63.36%
Wins 62.69%, ties 1.32%
53s
36.64%
Wins 35.99%, ties 1.32%
J9s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| J9s | 62.694 | 1.324 | 35.982 | 63.356 |
| 53s | 35.982 | 1.324 | 62.694 | 36.644 |
Both hands are suited hands: J9s and 53s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
J9s is ahead, but 53s is far from dead: it takes 360 of every 1,000 deals outright. 1.32% of boards are ties, so the equity of each hand is its win rate plus half of that.
J9s ranks number 55 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| J9s | 17,176,000 | 363,000 | 9,858,000 |
| 53s | 9,858,000 | 363,000 | 17,176,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| J9s | 1.729 | 1.595 | 2.779 | 0.578 |
| 53s | 0.578 | 2.779 | 1.595 | 1.729 |
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
Split by what the flop looks like, J9s peaks at 67.32% on rainbow flops topped by a ten or better and bottoms out at 48.37% on low rainbow flops (nine high or lower). J9s is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | J9s wins | Ties | 53s wins | J9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.944 | 0.757 | 32.299 | 67.323 |
| Rainbow, nine or lower | 5.689 | 48.014 | 0.716 | 51.270 | 48.372 |
| Two-tone | 46.727 | 62.491 | 0.688 | 36.821 | 62.835 |
| Monotone | 5.273 | 58.720 | 3.805 | 37.475 | 60.622 |
| Paired | 17.091 | 63.088 | 3.337 | 33.575 | 64.757 |
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 J9s from 55.66% by +7.70 points and 53s from 39.69% by -3.05 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| J9s, all flops | 63.356 | 55.662 | +7.694 | 1.13823 |
| J9s, rainbow, ten or higher | 67.323 | 55.662 | +11.661 | 1.20950 |
| J9s, rainbow, nine or lower | 48.372 | 55.662 | -7.290 | 0.86903 |
| J9s, two-tone | 62.835 | 55.662 | +7.173 | 1.12887 |
| J9s, monotone | 60.622 | 55.662 | +4.960 | 1.08911 |
| J9s, paired | 64.757 | 55.662 | +9.095 | 1.16340 |
| 53s, all flops | 36.644 | 39.693 | -3.049 | 0.92319 |
| 53s, rainbow, ten or higher | 32.677 | 39.693 | -7.016 | 0.82324 |
| 53s, rainbow, nine or lower | 51.628 | 39.693 | +11.935 | 1.30068 |
| 53s, two-tone | 37.165 | 39.693 | -2.528 | 0.93631 |
| 53s, monotone | 39.378 | 39.693 | -0.315 | 0.99206 |
| 53s, paired | 35.243 | 39.693 | -4.450 | 0.88789 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (J9s at 65.71%) and 12 do not (62.57%). J9s does better with a shared suit, by 3.14 points.
| Deals | Specific deals | Share of deals | J9s wins | Ties | 53s wins | J9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.988 | 1.445 | 33.567 | 65.711 |
| No shared suit | 12 | 75.00 | 61.929 | 1.284 | 36.787 | 62.571 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $126.72 for J9s and $73.28 for 53s; the first side gains $26.72 per all-in and the second gives up $26.72.
Over a long run, 1,000 deals split into about 627 for J9s, 360 for 53s and 13 tied.
The same matchup from the other side
53s against J9s adds nothing new: it is 36.64% for 53s and 63.36% for J9s, the same figures reversed.
Keep exploring
The calculator link fills in Js9s against 5h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of J9s against 53s, 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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