JTo vs 98s: preflop equity

Counting every board, the equity split is 62.39% for JTo and 37.61% for 98s, so JTo leads by 24.78 points.

JTo

62.39%

Wins 61.81%, ties 1.15%

98s

37.61%

Wins 37.04%, ties 1.15%

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

JTo against 98s: the numbers

Exact preflop results for JTo against 98s, in percent
HandWinsTiesLosesEquity
JTo61.8131.14537.04262.386
98s37.0421.14561.81337.614

JTo, an offsuit hand, plays 98s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 1.15% of the boards, and both equity figures count them as half a win each.

Place 57 of 169 belongs to JTo and place 83 belongs to 98s in the ranking against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo50,804,000941,00030,445,000
98s30,445,000941,00050,804,000

The total is exact: 48 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.

JTo against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.6591.6182.7000.603
98s0.6032.7001.6181.659

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

If you know the kind of flop that came, the numbers shift: JTo holds 69.43% on rainbow flops topped by a ten or better and 42.78% on low rainbow flops (nine high or lower). 98s is ahead on low rainbow flops (nine high or lower), even though it trails JTo when every flop is counted.

JTo against 98s by flop texture, in percent
FlopShare of flopsJTo winsTies98s winsJTo equity
Rainbow, ten or higher24.71769.1160.63630.24869.434
Rainbow, nine or lower6.31342.5400.48456.97642.782
Two-tone46.66760.9260.56938.50561.211
Monotone5.21259.2102.61238.17860.516
Paired17.09161.5903.24935.16163.214

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

Against one random hand instead, JTo holds 55.25% and 98s holds 50.80%. Facing each other changes that by +7.14 points for JTo and -13.19 points for 98s.

JTo and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops62.38655.248+7.1381.12920
JTo, rainbow, ten or higher69.43455.248+14.1861.25677
JTo, rainbow, nine or lower42.78255.248-12.4660.77436
JTo, two-tone61.21155.248+5.9631.10793
JTo, monotone60.51655.248+5.2681.09535
JTo, paired63.21455.248+7.9661.14419
98s, all flops37.61450.801-13.1870.74042
98s, rainbow, ten or higher30.56650.801-20.2350.60168
98s, rainbow, nine or lower57.21850.801+6.4171.12632
98s, two-tone38.78950.801-12.0120.76355
98s, monotone39.48450.801-11.3170.77723
98s, paired36.78650.801-14.0150.72412

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (JTo at 63.07%) and 24 do not (61.70%). JTo does better with a shared suit, by 1.37 points.

JTo against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies98s winsJTo equity
Share a suit2450.0062.4741.18636.34063.067
No shared suit2450.0061.1531.10337.74461.704

How often this matchup comes up

The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.

A worked example

Take a $200 pot built from $100 each. JTo's equity of 62.39% is worth $124.78, a $24.78 edge, and 98s' 37.61% is worth $75.22, which is $24.78 under its stake.

A thousand deals look like this: JTo takes 618, 98s takes 370, 12 are ties.

The same matchup from the other side

98s against JTo adds nothing new: it is 37.61% for 98s and 62.39% for JTo, the same figures reversed.

The calculator link fills in JsTh against 9d8d, 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

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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