T9s vs 86s: preflop equity

In equity, T9s against 86s stands at 65.17% to 34.83%, a gap of 30.34 points.

T9s

65.17%

Wins 64.30%, ties 1.73%

86s

34.83%

Wins 33.97%, ties 1.73%

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

T9s against 86s: the numbers

Exact preflop results for T9s against 86s, in percent
HandWinsTiesLosesEquity
T9s64.2991.73333.96865.165
86s33.9681.73364.29934.835

Two suited hands meet here: T9s against 86s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a clear edge, 65.17% to 34.83%, but 86s still wins often enough that one hand proves nothing. Split pots make up 1.73% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, T9s is number 64 and 86s is number 110.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T9s17,616,000475,0009,306,000
86s9,306,000475,00017,616,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

T9s against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9s1.8711.5552.9440.535
86s0.5352.9441.5551.871

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 T9s is strongest on rainbow flops topped by a ten or better (69.65%) and weakest on low rainbow flops (nine high or lower) (50.53%). T9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

T9s against 86s by flop texture, in percent
FlopShare of flopsT9s winsTies86s winsT9s equity
Rainbow, ten or higher25.22069.0881.12329.78969.650
Rainbow, nine or lower5.68950.3560.33849.30650.525
Two-tone46.72764.3860.89234.72264.832
Monotone5.27360.1093.83036.06162.024
Paired17.09162.9264.75432.32065.303

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: 54.03% for T9s, 46.24% for 86s. Here the change is +11.14 and -11.41 points.

T9s and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9s, all flops65.16554.028+11.1371.20613
T9s, rainbow, ten or higher69.65054.028+15.6221.28915
T9s, rainbow, nine or lower50.52554.028-3.5030.93516
T9s, two-tone64.83254.028+10.8041.19997
T9s, monotone62.02454.028+7.9961.14800
T9s, paired65.30354.028+11.2751.20869
86s, all flops34.83546.243-11.4080.75330
86s, rainbow, ten or higher30.35046.243-15.8930.65632
86s, rainbow, nine or lower49.47546.243+3.2321.06989
86s, two-tone35.16846.243-11.0750.76050
86s, monotone37.97646.243-8.2670.82123
86s, paired34.69746.243-11.5460.75032

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common T9s has 67.78% equity, and with none in common it has 64.30%. T9s does better with a shared suit, by 3.48 points.

T9s against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9s winsTies86s winsT9s equity
Share a suit425.0066.8361.87831.28667.775
No shared suit1275.0063.4531.68534.86264.296

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. T9s averages $130.34 from the $200, up $30.34; 86s averages $69.66, down $30.34.

Per 1,000 deals: T9s wins about 643, 86s wins about 340, and about 17 end in a split pot.

The same matchup from the other side

The reversed view, 86s against T9s, shows 34.83% for 86s and 65.17% for T9s. It is the same count, so it redirects here.

The calculator link fills in Ts9s against 8h6h, 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 16 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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