JJ vs 97s: preflop equity

Over all 1,712,304 boards that can follow this deal, JJ finishes with 80.45% of the pot and 97s with 19.55%.

JJ

80.45%

Wins 80.25%, ties 0.39%

97s

19.55%

Wins 19.36%, ties 0.39%

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

JJ against 97s: the numbers

Exact preflop results for JJ against 97s, in percent
HandWinsTiesLosesEquity
JJ80.2500.39219.35880.446
97s19.3580.39280.25019.554

One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

A gap this wide means 97s is in trouble before the flop and has few good runouts. A split pot comes up on 0.39% of boards, so the wins and the equity differ by half of that.

For context, JJ sits at number 4 of 169 starting hands and 97s at number 94 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ32,979,000161,0007,955,000
97s7,955,000161,00032,979,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

JJ against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.1141.2465.1660.243
97s0.2435.1661.2464.114

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

The flop changes the picture. JJ does best on rainbow flops topped by a ten or better, at 84.84%, and worst on low rainbow flops (nine high or lower), at 71.80%. JJ stays ahead on all five textures.

JJ against 97s by flop texture, in percent
FlopShare of flopsJJ winsTies97s winsJJ equity
Rainbow, ten or higher24.59584.7380.20015.06284.838
Rainbow, nine or lower6.31471.5010.59527.90471.798
Two-tone46.54578.4600.26321.27778.591
Monotone5.21273.5662.37424.06074.753
Paired17.33483.8880.34315.76984.060

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

Compared with a random opponent, this matchup shifts JJ from 77.47% by +2.98 points and 97s from 49.12% by -29.57 points.

JJ and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops80.44677.469+2.9771.03843
JJ, rainbow, ten or higher84.83877.469+7.3691.09512
JJ, rainbow, nine or lower71.79877.469-5.6710.92680
JJ, two-tone78.59177.469+1.1221.01448
JJ, monotone74.75377.469-2.7160.96494
JJ, paired84.06077.469+6.5911.08508
97s, all flops19.55449.118-29.5640.39810
97s, rainbow, ten or higher15.16249.118-33.9560.30869
97s, rainbow, nine or lower28.20249.118-20.9160.57417
97s, two-tone21.40949.118-27.7090.43587
97s, monotone25.24749.118-23.8710.51401
97s, paired15.94049.118-33.1780.32452

Does a shared suit matter?

The suit split reads 81.02% for JJ with a shared suit and 79.87% without one. JJ does better with a shared suit, by 1.15 points.

JJ against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies97s winsJJ equity
Share a suit1250.0080.8050.43418.76181.022
No shared suit1250.0079.6960.35019.95479.871

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Take a $200 pot built from $100 each. JJ's equity of 80.45% is worth $160.90, a $60.90 edge, and 97s' 19.55% is worth $39.10, which is $60.90 under its stake.

In 1,000 deals of exactly this matchup, expect about 802 won outright by JJ, about 194 won outright by 97s and about 4 split.

The same matchup from the other side

97s against JJ adds nothing new: it is 19.55% for 97s and 80.45% for JJ, the same figures reversed.

Try JsJh against 9d7d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of JJ against 97s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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