J9s vs T9o: preflop equity

Over all 1,712,304 boards that can follow this deal, J9s finishes with 73.54% of the pot and T9o with 26.46%.

J9s

73.54%

Wins 71.05%, ties 4.98%

T9o

26.46%

Wins 23.97%, ties 4.98%

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

J9s against T9o: the numbers

Exact preflop results for J9s against T9o, in percent
HandWinsTiesLosesEquity
J9s71.0514.97923.97073.540
T9o23.9704.97971.05126.460

J9s, a suited hand, plays T9o, an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

J9s is well ahead, and T9o needs a specific kind of board to catch up. The tie share is 4.98%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, J9s is number 55 and T9o is number 78 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s43,798,0003,069,00014,776,000
T9o14,776,0003,069,00043,798,000

Exact total: 36 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 T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s2.7791.4074.1720.360
T9o0.3604.1721.4072.779

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, J9s peaks at 80.21% on low rainbow flops (nine high or lower) and bottoms out at 66.01% on monotone flops. J9s stays ahead on all five textures.

J9s against T9o by flop texture, in percent
FlopShare of flopsJ9s winsTiesT9o winsJ9s equity
Rainbow, ten or higher24.63469.7944.39825.80871.993
Rainbow, nine or lower6.31478.7962.83418.37080.213
Two-tone46.52771.7783.89524.32773.726
Monotone5.19263.4485.13131.42166.014
Paired17.33370.3419.45020.20975.066

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Each hand has a baseline against a random hand: 55.66% for J9s, 51.53% for T9o. Here the change is +17.88 and -25.07 points.

J9s and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops73.54055.662+17.8781.32119
J9s, rainbow, ten or higher71.99355.662+16.3311.29340
J9s, rainbow, nine or lower80.21355.662+24.5511.44107
J9s, two-tone73.72655.662+18.0641.32453
J9s, monotone66.01455.662+10.3521.18598
J9s, paired75.06655.662+19.4041.34860
T9o, all flops26.46051.532-25.0720.51347
T9o, rainbow, ten or higher28.00751.532-23.5250.54349
T9o, rainbow, nine or lower19.78751.532-31.7450.38398
T9o, two-tone26.27451.532-25.2580.50986
T9o, monotone33.98651.532-17.5460.65951
T9o, paired24.93451.532-26.5980.48385

Does a shared suit matter?

When the hands share a suit, J9s holds 73.39%; when they do not, it holds 73.62%. The two rows differ by only 0.23 points, so suits barely change this matchup.

J9s against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTiesT9o winsJ9s equity
Share a suit1233.3370.8475.08824.06573.391
No shared suit2466.6771.1534.92523.92273.615

How often this matchup comes up

J9s against T9o is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

With $100 from each side, the $200 pot is split on average as $147.08 for J9s and $52.92 for T9o; the first side gains $47.08 per all-in and the second gives up $47.08.

Out of 1,000 deals you should see around 710 outright wins for J9s, 240 for T9o, and 50 split pots.

The same matchup from the other side

Swap the hands and you get T9o with 26.46% against J9s with 73.54%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with Js9s against Th9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

This is an exact count with no sampling. For the 36 ways to deal one J9s and one T9o without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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