JTo
62.44%
Wins 61.89%, ties 1.11%
86s
37.56%
Wins 37.00%, ties 1.11%
JTo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTo | 61.885 | 1.113 | 37.002 | 62.441 |
| 86s | 37.002 | 1.113 | 61.885 | 37.559 |
JTo and 86s are an offsuit hand and a suited hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
JTo is ahead, but 86s is far from dead: it takes 370 of every 1,000 deals outright. A split pot comes up on 1.11% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, JTo holds place 57 of 169 and 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTo | 50,864,000 | 915,000 | 30,412,000 |
| 86s | 30,412,000 | 915,000 | 50,864,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| JTo | 1.662 | 1.616 | 2.703 | 0.602 |
| 86s | 0.602 | 2.703 | 1.616 | 1.662 |
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 29.78 points, from 40.45% on low rainbow flops (nine high or lower) to 70.23% on rainbow flops topped by a ten or better. 86s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | JTo wins | Ties | 86s wins | JTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.929 | 0.602 | 29.469 | 70.230 |
| Rainbow, nine or lower | 6.313 | 40.220 | 0.466 | 59.314 | 40.453 |
| Two-tone | 46.667 | 60.938 | 0.544 | 38.518 | 61.210 |
| Monotone | 5.212 | 59.120 | 2.600 | 38.280 | 60.420 |
| Paired | 17.091 | 61.684 | 3.191 | 35.125 | 63.279 |
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
Relative to a random opponent, JTo changes by +7.19 points (baseline 55.25%) and 86s by -8.68 points (baseline 46.24%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTo, all flops | 62.441 | 55.248 | +7.193 | 1.13019 |
| JTo, rainbow, ten or higher | 70.230 | 55.248 | +14.982 | 1.27118 |
| JTo, rainbow, nine or lower | 40.453 | 55.248 | -14.795 | 0.73221 |
| JTo, two-tone | 61.210 | 55.248 | +5.962 | 1.10791 |
| JTo, monotone | 60.420 | 55.248 | +5.172 | 1.09361 |
| JTo, paired | 63.279 | 55.248 | +8.031 | 1.14536 |
| 86s, all flops | 37.559 | 46.243 | -8.684 | 0.81221 |
| 86s, rainbow, ten or higher | 29.770 | 46.243 | -16.473 | 0.64377 |
| 86s, rainbow, nine or lower | 59.547 | 46.243 | +13.304 | 1.28770 |
| 86s, two-tone | 38.790 | 46.243 | -7.453 | 0.83883 |
| 86s, monotone | 39.580 | 46.243 | -6.663 | 0.85591 |
| 86s, paired | 36.721 | 46.243 | -9.522 | 0.79409 |
Does a shared suit matter?
Does suit overlap move the numbers? JTo has 63.16% when the hands share a suit and 61.72% when they do not. JTo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | JTo wins | Ties | 86s wins | JTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.580 | 1.156 | 36.264 | 63.158 |
| No shared suit | 24 | 50.00 | 61.189 | 1.070 | 37.741 | 61.724 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are JTo in one seat and 86s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, JTo's average share is $124.88 (a gain of $24.88) and 86s' is $75.12 (a loss of $24.88).
A thousand deals look like this: JTo takes 619, 86s takes 370, 11 are ties.
The same matchup from the other side
86s versus JTo is this same page seen from the other hand: 37.56% for 86s, 62.44% for JTo.
Keep exploring
Open the calculator with JsTh against 8d6d 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
This is an exact count with no sampling. For the 48 ways to deal one JTo and one 86s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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