K9o vs JTs: preflop equity

The exact count puts K9o at 53.50% and JTs at 46.50% when the two hands see all five board cards.

K9o

53.50%

Wins 53.17%, ties 0.67%

JTs

46.50%

Wins 46.16%, ties 0.67%

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

K9o against JTs: the numbers

Exact preflop results for K9o against JTs, in percent
HandWinsTiesLosesEquity
K9o53.1690.66646.16553.502
JTs46.1650.66653.16946.498

The first hand is an offsuit hand; the second is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

K9o leads by less than 7 points of equity, so the result of any one deal is close to a toss-up. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.

By strength against a random hand, K9o holds place 40 of 169 and JTs holds place 45.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9o43,700,000547,00037,943,000
JTs37,943,000547,00043,700,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

K9o against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9o1.1511.8812.1660.869
JTs0.8692.1661.8811.151

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: K9o holds 67.78% on low rainbow flops (nine high or lower) and 49.63% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better: on those flops JTs holds the better equity.

K9o against JTs by flop texture, in percent
FlopShare of flopsK9o winsTiesJTs winsK9o equity
Rainbow, ten or higher23.98849.4830.29750.22049.631
Rainbow, nine or lower7.04267.4070.74231.85167.778
Two-tone46.66751.1550.37148.47451.341
Monotone5.21250.6662.45246.88251.892
Paired17.09158.7401.41439.84659.447

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

Start from the random-hand figures, 57.81% for K9o and 57.53% for JTs. This opponent changes them by -4.31 and -11.03 points.

K9o and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9o, all flops53.50257.812-4.3100.92545
K9o, rainbow, ten or higher49.63157.812-8.1810.85849
K9o, rainbow, nine or lower67.77857.812+9.9661.17239
K9o, two-tone51.34157.812-6.4710.88807
K9o, monotone51.89257.812-5.9200.89760
K9o, paired59.44757.812+1.6351.02828
JTs, all flops46.49857.528-11.0300.80827
JTs, rainbow, ten or higher50.36957.528-7.1590.87556
JTs, rainbow, nine or lower32.22257.528-25.3060.56011
JTs, two-tone48.65957.528-8.8690.84583
JTs, monotone48.10857.528-9.4200.83625
JTs, paired40.55357.528-16.9750.70493

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (K9o at 53.91%) and 24 do not (53.09%). K9o does better with a shared suit, by 0.82 points.

K9o against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsK9o winsTiesJTs winsK9o equity
Share a suit2450.0053.5590.70645.73553.912
No shared suit2450.0052.7790.62746.59453.093

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, K9o's average share is $107.00 (a gain of $7.00) and JTs' is $93.00 (a loss of $7.00).

Think in thousands: about 532 of 1,000 go to K9o, about 461 go to JTs, and about 7 are chopped.

The same matchup from the other side

One page covers both views. From JTs' side the equity is 46.50%, and from K9o's side it is 53.50%.

The calculator link fills in Ks9h against JdTd, 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

This is an exact count with no sampling. For the 48 ways to deal one K9o and one JTs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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