TT vs J9s: preflop equity

If TT and J9s get all the chips in before the flop, TT owns 67.51% of the pot in the long run and J9s owns 32.49%.

TT

67.51%

Wins 67.29%, ties 0.43%

J9s

32.49%

Wins 32.28%, ties 0.43%

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

TT against J9s: the numbers

Exact preflop results for TT against J9s, in percent
HandWinsTiesLosesEquity
TT67.2910.43032.27967.506
J9s32.2790.43067.29132.494

TT is a pocket pair and J9s is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

That is a clear edge, 67.51% to 32.49%, but J9s still wins often enough that one hand proves nothing. 0.43% of boards are ties, so the equity of each hand is its win rate plus half of that.

The hand ranking puts TT at 5 and J9s at 55 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,653,000177,00013,265,000
J9s13,265,000177,00027,653,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

TT against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.0771.4863.0980.481
J9s0.4813.0981.4862.077

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Split by what the flop looks like, TT peaks at 79.29% on low rainbow flops (nine high or lower) and bottoms out at 62.77% on monotone flops. TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

TT against J9s by flop texture, in percent
FlopShare of flopsTT winsTiesJ9s winsTT equity
Rainbow, ten or higher23.86765.6870.18934.12465.781
Rainbow, nine or lower7.04278.9170.73720.34679.285
Two-tone46.54565.4870.29034.22365.632
Monotone5.21261.5742.38936.03762.769
Paired17.33471.3390.42428.23771.551

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 75.01% for TT, 55.66% for J9s. Here the change is -7.50 and -23.17 points.

TT and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops67.50675.012-7.5060.89994
TT, rainbow, ten or higher65.78175.012-9.2310.87694
TT, rainbow, nine or lower79.28575.012+4.2731.05696
TT, two-tone65.63275.012-9.3800.87495
TT, monotone62.76975.012-12.2430.83679
TT, paired71.55175.012-3.4610.95386
J9s, all flops32.49455.662-23.1680.58377
J9s, rainbow, ten or higher34.21955.662-21.4430.61476
J9s, rainbow, nine or lower20.71555.662-34.9470.37216
J9s, two-tone34.36855.662-21.2940.61744
J9s, monotone37.23155.662-18.4310.66888
J9s, paired28.44955.662-27.2130.51110

Does a shared suit matter?

Looking only at deals where the hands share a suit, TT has 67.72%; looking only at deals where they do not, 67.29%. TT does better with a shared suit, by 0.43 points.

TT against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesJ9s winsTT equity
Share a suit1250.0067.4880.47132.04167.723
No shared suit1250.0067.0930.39032.51767.288

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, TT's average share is $135.02 (a gain of $35.02) and J9s' is $64.98 (a loss of $35.02).

Run 1,000 deals and the tally comes out near 673 for TT, 323 for J9s and 4 ties.

The same matchup from the other side

The mirror image, J9s against TT, is 32.49% to 67.51%, and its address redirects to this page.

Open the calculator with TsTh against Jd9d 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

We counted every case. Each suit pattern of the 24 specific TT against J9s 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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