JTo vs 97s: preflop equity

Dealt all in against each other, JTo takes 63.11% of the pot on average and 97s takes the other 36.89%.

JTo

63.11%

Wins 62.54%, ties 1.14%

97s

36.89%

Wins 36.32%, ties 1.14%

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

JTo against 97s: the numbers

Exact preflop results for JTo against 97s, in percent
HandWinsTiesLosesEquity
JTo62.5381.14036.32263.108
97s36.3221.14062.53836.892

The first hand is an offsuit hand; the second is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 26.22 point lead is real, and 97s still takes about 363 of every 1,000 deals outright. 1.14% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, JTo is number 57 of the 169 starting hands and 97s is number 94.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo51,400,000937,00029,853,000
97s29,853,000937,00051,400,000

48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

JTo against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.7111.5992.7530.585
97s0.5852.7531.5991.711

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, JTo peaks at 70.63% on rainbow flops topped by a ten or better and bottoms out at 42.21% on low rainbow flops (nine high or lower). The overall edge for JTo hides low rainbow flops (nine high or lower), where 97s comes out in front.

JTo against 97s by flop texture, in percent
FlopShare of flopsJTo winsTies97s winsJTo equity
Rainbow, ten or higher24.71770.3110.64629.04370.634
Rainbow, nine or lower6.31342.0020.40557.59342.205
Two-tone46.66761.6370.56337.80061.919
Monotone5.21259.7012.60937.69061.005
Paired17.09162.2103.25334.53763.837

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

A random hand would give JTo 55.25% and 97s 49.12%. Against each other the change is +7.86 points for JTo and -12.23 for 97s.

JTo and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops63.10855.248+7.8601.14227
JTo, rainbow, ten or higher70.63455.248+15.3861.27849
JTo, rainbow, nine or lower42.20555.248-13.0430.76392
JTo, two-tone61.91955.248+6.6711.12075
JTo, monotone61.00555.248+5.7571.10420
JTo, paired63.83755.248+8.5891.15546
97s, all flops36.89249.118-12.2260.75109
97s, rainbow, ten or higher29.36649.118-19.7520.59787
97s, rainbow, nine or lower57.79549.118+8.6771.17666
97s, two-tone38.08149.118-11.0370.77530
97s, monotone38.99549.118-10.1230.79390
97s, paired36.16349.118-12.9550.73625

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common JTo has 63.82% equity, and with none in common it has 62.40%. JTo does better with a shared suit, by 1.42 points.

JTo against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies97s winsJTo equity
Share a suit2450.0063.2241.18235.59463.815
No shared suit2450.0061.8521.09837.05062.401

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are JTo against 97s, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average JTo takes back $126.22 of it, which is $26.22 more than it put in, and 97s takes back $73.78, $26.22 less than it put in.

Over a long run, 1,000 deals split into about 625 for JTo, 363 for 97s and 12 tied.

The same matchup from the other side

Swap the hands and you get 97s with 36.89% against JTo with 63.11%. We keep one page per matchup, with the better-ranked hand first.

JsTh against 9d7d 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

We counted every case. Each suit pattern of the 48 specific JTo against 97s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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