JTo
61.49%
Wins 60.94%, ties 1.12%
87s
38.51%
Wins 37.94%, ties 1.12%
JTo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTo | 60.935 | 1.118 | 37.947 | 61.494 |
| 87s | 37.947 | 1.118 | 60.935 | 38.506 |
JTo is an offsuit hand and 87s is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 1.12% of boards, so the wins and the equity differ by half of that.
JTo ranks number 57 of 169 starting hands, and 87s ranks number 100, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTo | 50,083,000 | 919,000 | 31,189,000 |
| 87s | 31,189,000 | 919,000 | 50,083,000 |
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 | 1.597 | 1.641 | 2.635 | 0.626 |
| 87s | 0.626 | 2.635 | 1.641 | 1.597 |
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
If you know the kind of flop that came, the numbers shift: JTo holds 68.97% on rainbow flops topped by a ten or better and 39.96% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 87s holds the better equity.
| Flop | Share of flops | JTo wins | Ties | 87s wins | JTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.642 | 0.646 | 30.712 | 68.965 |
| Rainbow, nine or lower | 6.313 | 39.794 | 0.337 | 59.869 | 39.963 |
| Two-tone | 46.667 | 59.973 | 0.551 | 39.476 | 60.249 |
| Monotone | 5.212 | 58.433 | 2.602 | 38.965 | 59.734 |
| Paired | 17.091 | 60.985 | 3.187 | 35.828 | 62.578 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 55.25%, JTo changes by +6.24 points, and 87s, from 47.94%, by -9.43.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTo, all flops | 61.494 | 55.248 | +6.246 | 1.11305 |
| JTo, rainbow, ten or higher | 68.965 | 55.248 | +13.717 | 1.24828 |
| JTo, rainbow, nine or lower | 39.963 | 55.248 | -15.285 | 0.72334 |
| JTo, two-tone | 60.249 | 55.248 | +5.001 | 1.09052 |
| JTo, monotone | 59.734 | 55.248 | +4.486 | 1.08120 |
| JTo, paired | 62.578 | 55.248 | +7.330 | 1.13267 |
| 87s, all flops | 38.506 | 47.936 | -9.430 | 0.80328 |
| 87s, rainbow, ten or higher | 31.035 | 47.936 | -16.901 | 0.64743 |
| 87s, rainbow, nine or lower | 60.037 | 47.936 | +12.101 | 1.25244 |
| 87s, two-tone | 39.751 | 47.936 | -8.185 | 0.82925 |
| 87s, monotone | 40.266 | 47.936 | -7.670 | 0.83999 |
| 87s, paired | 37.422 | 47.936 | -10.514 | 0.78067 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (JTo at 62.18%) and 24 do not (60.81%). JTo does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | JTo wins | Ties | 87s wins | JTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.601 | 1.160 | 37.239 | 62.181 |
| No shared suit | 24 | 50.00 | 60.268 | 1.076 | 38.656 | 60.806 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says JTo gets $122.98 of it on average and 87s gets $77.02.
Over a long run, 1,000 deals split into about 609 for JTo, 380 for 87s and 11 tied.
The same matchup from the other side
87s against JTo adds nothing new: it is 38.51% for 87s and 61.49% for JTo, the same figures reversed.
Keep exploring
Open the calculator with JsTh against 8d7d 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
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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