J9s vs 97s: preflop equity

Averaged over every possible board, J9s is ahead of 97s by 38.10 points of equity, 69.05% to 30.95%.

J9s

69.05%

Wins 66.42%, ties 5.25%

97s

30.95%

Wins 28.33%, ties 5.25%

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

J9s against 97s: the numbers

Exact preflop results for J9s against 97s, in percent
HandWinsTiesLosesEquity
J9s66.4195.25328.32869.046
97s28.3285.25366.41930.954

J9s and 97s are both suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 38.10 points is large but not decisive: 97s still takes about 283 of every 1,000 deals. About 5.25% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, J9s holds place 55 of 169 and 97s holds place 94.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s13,648,0001,079,0005,821,000
97s5,821,0001,079,00013,648,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

J9s against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s2.2311.5063.5300.448
97s0.4483.5301.5062.231

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

J9s prefers rainbow flops topped by a ten or better, where it holds 73.98%, and likes low rainbow flops (nine high or lower) least, where it holds 55.56%. J9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

J9s against 97s by flop texture, in percent
FlopShare of flopsJ9s winsTies97s winsJ9s equity
Rainbow, ten or higher25.25471.6484.67023.68273.983
Rainbow, nine or lower5.65453.7023.71842.58055.561
Two-tone46.54365.9254.12429.95167.987
Monotone5.21559.6266.24634.12862.749
Paired17.33466.3209.33424.34670.987

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, 55.66% for J9s and 49.12% for 97s. This opponent changes them by +13.39 and -18.17 points.

J9s and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops69.04655.662+13.3841.24045
J9s, rainbow, ten or higher73.98355.662+18.3211.32915
J9s, rainbow, nine or lower55.56155.662-0.1010.99819
J9s, two-tone67.98755.662+12.3251.22143
J9s, monotone62.74955.662+7.0871.12732
J9s, paired70.98755.662+15.3251.27532
97s, all flops30.95449.118-18.1640.63020
97s, rainbow, ten or higher26.01749.118-23.1010.52968
97s, rainbow, nine or lower44.43949.118-4.6790.90474
97s, two-tone32.01349.118-17.1050.65176
97s, monotone37.25149.118-11.8670.75840
97s, paired29.01349.118-20.1050.59068

Does a shared suit matter?

A shared suit is impossible for this matchup, so J9s' 69.05% is the answer for every suit pattern.

J9s against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies97s winsJ9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.4195.25328.32869.046

How often this matchup comes up

Counting specific cards, J9s against 97s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

With $100 from each side, the $200 pot is split on average as $138.10 for J9s and $61.90 for 97s; the first side gains $38.10 per all-in and the second gives up $38.10.

Think in thousands: about 664 of 1,000 go to J9s, about 283 go to 97s, and about 53 are chopped.

The same matchup from the other side

97s versus J9s is this same page seen from the other hand: 30.95% for 97s, 69.05% for J9s.

Js9s against 9h7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Nothing here is simulated. The 12 deals of J9s against 97s 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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