JTs vs 86s: preflop equity

Dealt all in against each other, JTs takes 64.81% of the pot on average and 86s takes the other 35.19%.

JTs

64.81%

Wins 64.24%, ties 1.13%

86s

35.19%

Wins 34.63%, ties 1.13%

Equity counts a tie as half a win. Exact over every board.

JTs against 86s: the numbers

Exact preflop results for JTs against 86s, in percent
HandWinsTiesLosesEquity
JTs64.2441.12934.62764.809
86s34.6271.12964.24435.191

JTs and 86s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 29.62 point lead is real, and 86s still takes about 346 of every 1,000 deals outright. Split pots make up 1.13% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, JTs is number 45 of the 169 starting hands and 86s is number 110.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs17,601,000309,0009,487,000
86s9,487,000309,00017,601,000

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.

JTs against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs1.8421.5572.8880.543
86s0.5432.8881.5571.842

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Across the five flop textures JTs' equity moves by 28.78 points, from 42.71% on low rainbow flops (nine high or lower) to 71.49% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 86s is the one ahead.

JTs against 86s by flop texture, in percent
FlopShare of flopsJTs winsTies86s winsJTs equity
Rainbow, ten or higher24.59571.1930.58728.22071.487
Rainbow, nine or lower6.31442.4910.44557.06442.714
Two-tone46.72764.1390.51935.34264.398
Monotone5.27359.9463.58636.46861.739
Paired17.09163.8943.07233.03465.430

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

Start from the random-hand figures, 57.53% for JTs and 46.24% for 86s. This opponent changes them by +7.28 and -11.05 points.

JTs and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops64.80957.528+7.2811.12656
JTs, rainbow, ten or higher71.48757.528+13.9591.24265
JTs, rainbow, nine or lower42.71457.528-14.8140.74249
JTs, two-tone64.39857.528+6.8701.11942
JTs, monotone61.73957.528+4.2111.07320
JTs, paired65.43057.528+7.9021.13736
86s, all flops35.19146.243-11.0520.76100
86s, rainbow, ten or higher28.51346.243-17.7300.61659
86s, rainbow, nine or lower57.28646.243+11.0431.23880
86s, two-tone35.60246.243-10.6410.76989
86s, monotone38.26146.243-7.9820.82739
86s, paired34.57046.243-11.6730.74757

Does a shared suit matter?

When the hands share a suit, JTs holds 67.34%; when they do not, it holds 63.97%. JTs does better with a shared suit, by 3.37 points.

JTs against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTies86s winsJTs equity
Share a suit425.0066.7221.23832.04067.341
No shared suit1275.0063.4181.09335.48963.965

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, JTs' average share is $129.62 (a gain of $29.62) and 86s' is $70.38 (a loss of $29.62).

In 1,000 deals of exactly this matchup, expect about 643 won outright by JTs, about 346 won outright by 86s and about 11 split.

The same matchup from the other side

86s versus JTs is this same page seen from the other hand: 35.19% for 86s, 64.81% for JTs.

Try JsTs against 8h6h 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 16 specific JTs against 86s 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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