JTs vs 97s: preflop equity

The exact count puts JTs at 65.41% and 97s at 34.59% when the two hands see all five board cards.

JTs

65.41%

Wins 64.84%, ties 1.15%

97s

34.59%

Wins 34.01%, ties 1.15%

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

JTs against 97s: the numbers

Exact preflop results for JTs against 97s, in percent
HandWinsTiesLosesEquity
JTs64.8351.15434.01165.412
97s34.0111.15464.83534.588

Both hands are suited hands: JTs and 97s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

JTs is well ahead, and 97s needs a specific kind of board to catch up. Ties are 1.15% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, JTs is number 45 and 97s is number 94 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs17,763,000316,0009,318,000
97s9,318,000316,00017,763,000

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 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs1.8911.5422.9400.529
97s0.5292.9401.5421.891

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Split by what the flop looks like, JTs peaks at 71.92% on rainbow flops topped by a ten or better and bottoms out at 44.45% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 97s holds the better equity.

JTs against 97s by flop texture, in percent
FlopShare of flopsJTs winsTies97s winsJTs equity
Rainbow, ten or higher24.59571.6040.63027.76671.919
Rainbow, nine or lower6.31444.2530.38955.35844.448
Two-tone46.72764.7230.53534.74264.990
Monotone5.27360.3303.59036.08062.125
Paired17.09164.3963.13132.47365.961

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

How much does the opponent matter? Compared with its random-hand 57.53%, JTs changes by +7.88 points, and 97s, from 49.12%, by -14.53.

JTs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops65.41257.528+7.8841.13705
JTs, rainbow, ten or higher71.91957.528+14.3911.25016
JTs, rainbow, nine or lower44.44857.528-13.0800.77263
JTs, two-tone64.99057.528+7.4621.12971
JTs, monotone62.12557.528+4.5971.07991
JTs, paired65.96157.528+8.4331.14659
97s, all flops34.58849.118-14.5300.70418
97s, rainbow, ten or higher28.08149.118-21.0370.57170
97s, rainbow, nine or lower55.55249.118+6.4341.13099
97s, two-tone35.01049.118-14.1080.71277
97s, monotone37.87549.118-11.2430.77110
97s, paired34.03949.118-15.0790.69300

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common JTs has 68.04% equity, and with none in common it has 64.54%. JTs does better with a shared suit, by 3.50 points.

JTs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTies97s winsJTs equity
Share a suit425.0067.4061.26231.33268.037
No shared suit1275.0063.9781.11834.90464.537

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are JTs against 97s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says JTs gets $130.82 of it on average and 97s gets $69.18.

Per 1,000 deals: JTs wins about 648, 97s wins about 340, and about 12 end in a split pot.

The same matchup from the other side

Read it from the other side: 97s against JTs is the same matchup with the numbers swapped, so 97s holds 34.59% and JTs holds 65.41%. That address sends you back to this page.

The calculator link fills in JsTs against 9h7h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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