JTo vs 76s: preflop equity

If JTo and 76s get all the chips in before the flop, JTo owns 61.35% of the pot in the long run and 76s owns 38.65%.

JTo

61.35%

Wins 60.80%, ties 1.10%

76s

38.65%

Wins 38.10%, ties 1.10%

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

JTo against 76s: the numbers

Exact preflop results for JTo against 76s, in percent
HandWinsTiesLosesEquity
JTo60.7971.10338.10061.349
76s38.1001.10360.79738.651

We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. About 1.10% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, JTo is number 57 of the 169 starting hands and 76s is number 115.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo49,969,000907,00031,315,000
76s31,315,000907,00049,969,000

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.

JTo against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.5871.6452.6250.630
76s0.6302.6251.6451.587

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

Break the boards down by their first three cards and JTo is strongest on rainbow flops topped by a ten or better (69.34%) and weakest on low rainbow flops (nine high or lower) (38.24%). Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.

JTo against 76s by flop texture, in percent
FlopShare of flopsJTo winsTies76s winsJTo equity
Rainbow, ten or higher24.71769.0390.60930.35269.343
Rainbow, nine or lower6.31338.0380.39761.56538.237
Two-tone46.66759.8390.53739.62460.107
Monotone5.21258.2502.60139.14959.551
Paired17.09160.6793.16736.15462.262

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

Relative to a random opponent, JTo changes by +6.10 points (baseline 55.25%) and 76s by -6.72 points (baseline 45.37%).

JTo and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops61.34955.248+6.1011.11043
JTo, rainbow, ten or higher69.34355.248+14.0951.25512
JTo, rainbow, nine or lower38.23755.248-17.0110.69210
JTo, two-tone60.10755.248+4.8591.08795
JTo, monotone59.55155.248+4.3031.07789
JTo, paired62.26255.248+7.0141.12695
76s, all flops38.65145.372-6.7210.85187
76s, rainbow, ten or higher30.65745.372-14.7150.67568
76s, rainbow, nine or lower61.76345.372+16.3911.36126
76s, two-tone39.89345.372-5.4790.87924
76s, monotone40.44945.372-4.9230.89150
76s, paired37.73845.372-7.6340.83175

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (JTo at 62.06%) and 24 do not (60.64%). JTo does better with a shared suit, by 1.42 points.

JTo against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies76s winsJTo equity
Share a suit2450.0061.4821.14637.37262.055
No shared suit2450.0060.1121.06038.82860.642

How often this matchup comes up

Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.

A worked example

With $100 from each side, the $200 pot is split on average as $122.70 for JTo and $77.30 for 76s; the first side gains $22.70 per all-in and the second gives up $22.70.

Over a long run, 1,000 deals split into about 608 for JTo, 381 for 76s and 11 tied.

The same matchup from the other side

Swap the hands and you get 76s with 38.65% against JTo with 61.35%. We keep one page per matchup, with the better-ranked hand first.

Try JsTh against 7d6d 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

Nothing here is simulated. The 48 deals of JTo against 76s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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