JTs vs T9s: preflop equity

Over all 1,712,304 boards that can follow this deal, JTs finishes with 70.11% of the pot and T9s with 29.89%.

JTs

70.11%

Wins 67.68%, ties 4.85%

T9s

29.89%

Wins 27.47%, ties 4.85%

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

JTs against T9s: the numbers

Exact preflop results for JTs against T9s, in percent
HandWinsTiesLosesEquity
JTs67.6824.84827.47070.106
T9s27.4704.84867.68229.894

The matchup is suited hands on both sides, JTs against T9s. 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.

JTs is the clear favorite, though T9s gets there on roughly one board in 3. Ties are 4.85% of the outcomes here; each tied board gives both hands half the pot.

In the ranking of all 169 starting hands, JTs is number 45 and T9s is number 64.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs13,907,000996,0005,644,000
T9s5,644,000996,00013,907,000

12 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.

JTs against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs2.3451.4773.6400.426
T9s0.4263.6401.4772.345

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

Rainbow flops topped by a ten or better are the best for JTs (74.60%); low rainbow flops (nine high or lower) are the worst (62.86%). JTs stays ahead on all five textures.

JTs against T9s by flop texture, in percent
FlopShare of flopsJTs winsTiesT9s winsJTs equity
Rainbow, ten or higher23.86772.1614.88022.95974.601
Rainbow, nine or lower7.04262.2541.22036.52662.864
Two-tone46.54367.2133.72729.06069.077
Monotone5.21560.4155.96733.61863.399
Paired17.33367.1658.95323.88271.641

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

A random hand would give JTs 57.53% and T9s 54.03%. Against each other the change is +12.58 points for JTs and -24.14 for T9s.

JTs and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops70.10657.528+12.5781.21864
JTs, rainbow, ten or higher74.60157.528+17.0731.29678
JTs, rainbow, nine or lower62.86457.528+5.3361.09275
JTs, two-tone69.07757.528+11.5491.20075
JTs, monotone63.39957.528+5.8711.10205
JTs, paired71.64157.528+14.1131.24532
T9s, all flops29.89454.028-24.1340.55331
T9s, rainbow, ten or higher25.39954.028-28.6290.47011
T9s, rainbow, nine or lower37.13654.028-16.8920.68735
T9s, two-tone30.92354.028-23.1050.57235
T9s, monotone36.60154.028-17.4270.67745
T9s, paired28.35954.028-25.6690.52489

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 70.11% for JTs.

JTs against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTiesT9s winsJTs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.6824.84827.47070.106

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are JTs against T9s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: JTs averages $140.22 back, ahead of its $100 by $40.22, while T9s averages $59.78, short of its $100 by $40.22.

Think in thousands: about 677 of 1,000 go to JTs, about 275 go to T9s, and about 48 are chopped.

The same matchup from the other side

If you came looking for T9s against JTs, the numbers are the same with the hands swapped: 29.89% and 70.11%.

Try JsTs against Th9h 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

We counted every case. Each suit pattern of the 12 specific JTs against T9s 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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