J9s vs 76s: preflop equity

Counting every board, the equity split is 63.04% for J9s and 36.96% for 76s, so J9s leads by 26.08 points.

J9s

63.04%

Wins 62.41%, ties 1.25%

76s

36.96%

Wins 36.34%, ties 1.25%

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

J9s against 76s: the numbers

Exact preflop results for J9s against 76s, in percent
HandWinsTiesLosesEquity
J9s62.4131.25236.33563.039
76s36.3351.25262.41336.961

J9s meets 76s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

J9s is ahead, but 76s is far from dead: it takes 363 of every 1,000 deals outright. A split pot comes up on 1.25% of boards, so the wins and the equity differ by half of that.

The hand ranking puts J9s at 55 and 76s at 115 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s17,099,000343,0009,955,000
76s9,955,000343,00017,099,000

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.

J9s against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s1.7061.6022.7520.586
76s0.5862.7521.6021.706

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 J9s is strongest on rainbow flops topped by a ten or better (67.65%) and weakest on low rainbow flops (nine high or lower) (45.47%). 76s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

J9s against 76s by flop texture, in percent
FlopShare of flopsJ9s winsTies76s winsJ9s equity
Rainbow, ten or higher25.22067.2880.72431.98867.650
Rainbow, nine or lower5.68945.2830.37354.34445.470
Two-tone46.72762.2490.60737.14462.553
Monotone5.27358.4463.65337.90160.273
Paired17.09162.5943.34334.06364.265

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

A random hand would give J9s 55.66% and 76s 45.37%. Against each other the change is +7.38 points for J9s and -8.41 for 76s.

J9s and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops63.03955.662+7.3771.13253
J9s, rainbow, ten or higher67.65055.662+11.9881.21537
J9s, rainbow, nine or lower45.47055.662-10.1920.81689
J9s, two-tone62.55355.662+6.8911.12380
J9s, monotone60.27355.662+4.6111.08284
J9s, paired64.26555.662+8.6031.15456
76s, all flops36.96145.372-8.4110.81462
76s, rainbow, ten or higher32.35045.372-13.0220.71299
76s, rainbow, nine or lower54.53045.372+9.1581.20184
76s, two-tone37.44745.372-7.9250.82533
76s, monotone39.72745.372-5.6450.87558
76s, paired35.73545.372-9.6370.78760

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common J9s has 65.41% equity, and with none in common it has 62.25%. J9s does better with a shared suit, by 3.16 points.

J9s against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies76s winsJ9s equity
Share a suit425.0064.7221.36833.91065.406
No shared suit1275.0061.6431.21337.14462.250

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. J9s' equity of 63.04% is worth $126.08, a $26.08 edge, and 76s' 36.96% is worth $73.92, which is $26.08 under its stake.

Out of 1,000 deals you should see around 624 outright wins for J9s, 363 for 76s, and 13 split pots.

The same matchup from the other side

Swap the hands and you get 76s with 36.96% against J9s with 63.04%. We keep one page per matchup, with the better-ranked hand first.

Try Js9s against 7h6h 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 16 deals of J9s 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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