JJ vs T9s: preflop equity

If JJ and T9s get all the chips in before the flop, JJ owns 81.70% of the pot in the long run and T9s owns 18.30%.

JJ

81.70%

Wins 81.50%, ties 0.41%

T9s

18.30%

Wins 18.09%, ties 0.41%

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

JJ against T9s: the numbers

Exact preflop results for JJ against T9s, in percent
HandWinsTiesLosesEquity
JJ81.4950.40918.09681.700
T9s18.0960.40981.49518.300

JJ, a pocket pair, plays T9s, a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

That is a heavy lead: T9s needs the board to help it on most runouts and still falls behind far more often than not. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, JJ is number 4 and T9s is number 64.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ33,491,000168,0007,437,000
T9s7,437,000168,00033,491,000

Exact total: 24 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.

JJ against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.4641.2275.5260.224
T9s0.2245.5261.2274.464

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

If you know the kind of flop that came, the numbers shift: JJ holds 85.23% on paired flops and 75.54% on monotone flops. JJ stays ahead on all five textures.

JJ against T9s by flop texture, in percent
FlopShare of flopsJJ winsTiesT9s winsJJ equity
Rainbow, ten or higher23.86783.8390.17715.98483.927
Rainbow, nine or lower7.04281.8870.73817.37582.256
Two-tone46.54579.7070.28120.01279.847
Monotone5.21274.3522.38223.26675.543
Paired17.33485.0600.34314.59785.232

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

How much does the opponent matter? Compared with its random-hand 77.47%, JJ changes by +4.23 points, and T9s, from 54.03%, by -35.73.

JJ and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops81.70077.469+4.2311.05462
JJ, rainbow, ten or higher83.92777.469+6.4581.08336
JJ, rainbow, nine or lower82.25677.469+4.7871.06179
JJ, two-tone79.84777.469+2.3781.03070
JJ, monotone75.54377.469-1.9260.97514
JJ, paired85.23277.469+7.7631.10021
T9s, all flops18.30054.028-35.7280.33871
T9s, rainbow, ten or higher16.07354.028-37.9550.29749
T9s, rainbow, nine or lower17.74454.028-36.2840.32842
T9s, two-tone20.15354.028-33.8750.37301
T9s, monotone24.45754.028-29.5710.45267
T9s, paired14.76854.028-39.2600.27334

Does a shared suit matter?

When the hands share a suit, JJ holds 82.26%; when they do not, it holds 81.14%. JJ does better with a shared suit, by 1.12 points.

JJ against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesT9s winsJJ equity
Share a suit1250.0082.0310.44917.52082.256
No shared suit1250.0080.9600.36818.67281.144

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

Put $100 each into a $200 pot and deal every board once: JJ averages $163.40 back, ahead of its $100 by $63.40, while T9s averages $36.60, short of its $100 by $63.40.

A thousand deals look like this: JJ takes 815, T9s takes 181, 4 are ties.

The same matchup from the other side

The reversed view, T9s against JJ, shows 18.30% for T9s and 81.70% for JJ. It is the same count, so it redirects here.

Try JsJh against Td9d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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