JTo vs T9s: preflop equity

Averaged over every possible board, JTo is ahead of T9s by 38.34 points of equity, 69.17% to 30.83%.

JTo

69.17%

Wins 66.67%, ties 4.98%

T9s

30.83%

Wins 28.35%, ties 4.98%

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

JTo against T9s: the numbers

Exact preflop results for JTo against T9s, in percent
HandWinsTiesLosesEquity
JTo66.6744.98128.34569.165
T9s28.3454.98166.67430.835

Here an offsuit hand (JTo) meets a suited hand (T9s). Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 38.34 points is large but not decisive: T9s still takes about 283 of every 1,000 deals. About 4.98% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, JTo holds place 57 of 169 and T9s holds place 64.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo41,100,0003,070,00017,473,000
T9s17,473,0003,070,00041,100,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

JTo against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo2.2431.5003.5280.446
T9s0.4463.5281.5002.243

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

By flop texture, JTo's equity runs from 61.60% on low rainbow flops (nine high or lower) up to 73.98% on rainbow flops topped by a ten or better. JTo stays ahead on all five textures.

JTo against T9s by flop texture, in percent
FlopShare of flopsJTo winsTiesT9s winsJTo equity
Rainbow, ten or higher23.90571.4924.97623.53273.980
Rainbow, nine or lower7.04260.9701.26337.76761.601
Two-tone46.52765.7493.93630.31567.717
Monotone5.19262.3445.14732.50964.918
Paired17.33466.1299.25124.62070.755

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

Start from the random-hand figures, 55.25% for JTo and 54.03% for T9s. This opponent changes them by +13.92 and -23.20 points.

JTo and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops69.16555.248+13.9171.25190
JTo, rainbow, ten or higher73.98055.248+18.7321.33905
JTo, rainbow, nine or lower61.60155.248+6.3531.11499
JTo, two-tone67.71755.248+12.4691.22569
JTo, monotone64.91855.248+9.6701.17503
JTo, paired70.75555.248+15.5071.28068
T9s, all flops30.83554.028-23.1930.57072
T9s, rainbow, ten or higher26.02054.028-28.0080.48160
T9s, rainbow, nine or lower38.39954.028-15.6290.71072
T9s, two-tone32.28354.028-21.7450.59752
T9s, monotone35.08254.028-18.9460.64933
T9s, paired29.24554.028-24.7830.54129

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common JTo has 70.12% equity, and with none in common it has 68.69%. JTo does better with a shared suit, by 1.43 points.

JTo against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTiesT9s winsJTo equity
Share a suit1233.3367.5695.10427.32770.121
No shared suit2466.6766.2274.91928.85468.686

How often this matchup comes up

JTo against T9s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

Put $100 each into a $200 pot and deal every board once: JTo averages $138.34 back, ahead of its $100 by $38.34, while T9s averages $61.66, short of its $100 by $38.34.

Scaled to 1,000 deals, that is roughly 667 wins for JTo, 283 for T9s and 50 chopped pots.

The same matchup from the other side

Swap the hands and you get T9s with 30.83% against JTo with 69.17%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in JsTh against Td9d, 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 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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