J9s vs JTo: preflop equity

If JTo and J9s get all the chips in before the flop, JTo owns 67.80% of the pot in the long run and J9s owns 32.20%.

J9s

32.20%

Wins 27.00%, ties 10.39%

JTo

67.80%

Wins 62.61%, ties 10.39%

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

J9s against JTo: the numbers

Exact preflop results for J9s against JTo, in percent
HandWinsTiesLosesEquity
J9s26.99910.39162.61032.195
JTo62.61010.39126.99967.805

J9s is a suited hand and JTo is an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

JTo is the clear favorite, though J9s gets there on roughly one board in 3. Ties are 10.39% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, J9s is number 55 and JTo is number 57 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s16,643,0006,405,00038,595,000
JTo38,595,0006,405,00016,643,000

36 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.

J9s against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s0.4753.7041.5972.106
JTo2.1061.5973.7040.475

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and JTo is strongest on rainbow flops topped by a ten or better (73.00%) and weakest on monotone flops (63.43%). JTo stays ahead on all five textures.

J9s against JTo by flop texture, in percent
FlopShare of flopsJ9s winsTiesJTo winsJ9s equity
Rainbow, ten or higher23.90522.3619.28768.35227.004
Rainbow, nine or lower7.04234.1173.09262.79135.663
Two-tone46.52728.9097.43663.65532.627
Monotone5.19232.6847.77459.54236.571
Paired17.33423.67523.59652.72935.473

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

Each hand has a baseline against a random hand: 55.66% for J9s, 55.25% for JTo. Here the change is -23.46 and +12.55 points.

J9s and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops32.19555.662-23.4670.57840
J9s, rainbow, ten or higher27.00455.662-28.6580.48514
J9s, rainbow, nine or lower35.66355.662-19.9990.64071
J9s, two-tone32.62755.662-23.0350.58616
J9s, monotone36.57155.662-19.0910.65702
J9s, paired35.47355.662-20.1890.63729
JTo, all flops67.80555.248+12.5571.22728
JTo, rainbow, ten or higher72.99655.248+17.7481.32124
JTo, rainbow, nine or lower64.33755.248+9.0891.16451
JTo, two-tone67.37355.248+12.1251.21946
JTo, monotone63.42955.248+8.1811.14808
JTo, paired64.52755.248+9.2791.16795

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common JTo has 68.46% equity, and with none in common it has 67.48%. JTo does better with a shared suit, by 0.98 points.

J9s against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTiesJTo winsJ9s equity
Share a suit1233.3326.27510.53563.19031.542
No shared suit2466.6727.36110.31962.32032.521

How often this matchup comes up

Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.

A worked example

Take a $200 pot built from $100 each. JTo's equity of 67.80% is worth $135.60, a $35.60 edge, and J9s' 32.20% is worth $64.40, which is $35.60 under its stake.

Out of 1,000 deals you should see around 626 outright wins for JTo, 270 for J9s, and 104 split pots.

The same matchup from the other side

JTo against J9s adds nothing new: it is 67.80% for JTo and 32.20% for J9s, the same figures reversed.

The calculator link fills in Js9s against JhTd, 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

We counted every case. Each suit pattern of the 36 specific J9s against JTo 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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