JTs vs J9s: preflop equity

Averaged over every possible board, JTs is ahead of J9s by 37.94 points of equity, 68.97% to 31.03%.

JTs

68.97%

Wins 64.03%, ties 9.89%

J9s

31.03%

Wins 26.08%, ties 9.89%

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

JTs against J9s: the numbers

Exact preflop results for JTs against J9s, in percent
HandWinsTiesLosesEquity
JTs64.0269.88826.08668.970
J9s26.0869.88864.02631.030

This is a contest between two suited hands, JTs and J9s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 68.97% to 31.03%, but J9s still wins often enough that one hand proves nothing. A split pot comes up on 9.89% of boards, so the wins and the equity differ by half of that.

The hand ranking puts JTs at 45 and J9s at 55 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs13,156,0002,032,0005,360,000
J9s5,360,0002,032,00013,156,000

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 J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs2.2231.5623.8330.450
J9s0.4503.8331.5622.223

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Across the five flop textures JTs' equity moves by 10.33 points, from 63.31% on monotone flops to 73.64% on rainbow flops topped by a ten or better. JTs stays ahead on all five textures.

JTs against J9s by flop texture, in percent
FlopShare of flopsJTs winsTiesJ9s winsJTs equity
Rainbow, ten or higher23.86769.1169.04721.83773.640
Rainbow, nine or lower7.04263.9792.99633.02565.477
Two-tone46.54365.4206.93027.65068.885
Monotone5.21559.3147.99232.69463.310
Paired17.33354.71222.35522.93365.890

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 57.53% for JTs, 55.66% for J9s. Here the change is +11.44 and -24.63 points.

JTs and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops68.97057.528+11.4421.19889
JTs, rainbow, ten or higher73.64057.528+16.1121.28007
JTs, rainbow, nine or lower65.47757.528+7.9491.13818
JTs, two-tone68.88557.528+11.3571.19742
JTs, monotone63.31057.528+5.7821.10051
JTs, paired65.89057.528+8.3621.14536
J9s, all flops31.03055.662-24.6320.55747
J9s, rainbow, ten or higher26.36055.662-29.3020.47357
J9s, rainbow, nine or lower34.52355.662-21.1390.62023
J9s, two-tone31.11555.662-24.5470.55900
J9s, monotone36.69055.662-18.9720.65916
J9s, paired34.11055.662-21.5520.61281

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

JTs against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTiesJ9s winsJTs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.0269.88826.08668.970

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

With $100 from each side, the $200 pot is split on average as $137.94 for JTs and $62.06 for J9s; the first side gains $37.94 per all-in and the second gives up $37.94.

A thousand deals look like this: JTs takes 640, J9s takes 261, 99 are ties.

The same matchup from the other side

The reversed view, J9s against JTs, shows 31.03% for J9s and 68.97% for JTs. It is the same count, so it redirects here.

Open the calculator with JsTs against Jh9h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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