TT vs KJs: preflop equity

Averaged over every possible board, TT is ahead of KJs by 7.54 points of equity, 53.77% to 46.23%.

TT

53.77%

Wins 53.57%, ties 0.41%

KJs

46.23%

Wins 46.02%, ties 0.41%

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

TT against KJs: the numbers

Exact preflop results for TT against KJs, in percent
HandWinsTiesLosesEquity
TT53.5670.40746.02653.771
KJs46.0260.40753.56746.229

The matchup pits a pocket pair against a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

With only 7.54 points between them, the board decides this matchup far more than the cards in hand. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.

For context, TT sits at number 5 of 169 starting hands and KJs at number 20 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT22,014,000167,00018,915,000
KJs18,915,000167,00022,014,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

TT against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT1.1631.8672.1730.860
KJs0.8602.1731.8671.163

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 TT's equity moves by 25.17 points, from 47.58% on rainbow flops topped by a ten or better to 72.75% on low rainbow flops (nine high or lower). Watch for rainbow flops topped by a ten or better: on those flops KJs holds the better equity.

TT against KJs by flop texture, in percent
FlopShare of flopsTT winsTiesKJs winsTT equity
Rainbow, ten or higher23.13847.5080.13952.35347.578
Rainbow, nine or lower7.77172.2750.94626.77972.748
Two-tone46.54551.3790.31148.31051.534
Monotone5.21250.8692.39546.73652.066
Paired17.33459.9580.18039.86260.048

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, 75.01% for TT and 62.57% for KJs. This opponent changes them by -21.24 and -16.34 points.

TT and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops53.77175.012-21.2410.71683
TT, rainbow, ten or higher47.57875.012-27.4340.63427
TT, rainbow, nine or lower72.74875.012-2.2640.96982
TT, two-tone51.53475.012-23.4780.68701
TT, monotone52.06675.012-22.9460.69410
TT, paired60.04875.012-14.9640.80051
KJs, all flops46.22962.567-16.3380.73887
KJs, rainbow, ten or higher52.42262.567-10.1450.83785
KJs, rainbow, nine or lower27.25262.567-35.3150.43557
KJs, two-tone48.46662.567-14.1010.77463
KJs, monotone47.93462.567-14.6330.76612
KJs, paired39.95262.567-22.6150.63855

Does a shared suit matter?

Does suit overlap move the numbers? TT has 53.90% when the hands share a suit and 53.64% when they do not. TT does better with a shared suit, by 0.26 points.

TT against KJs by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesKJs winsTT equity
Share a suit1250.0053.6770.44745.87653.900
No shared suit1250.0053.4580.36646.17653.641

How often this matchup comes up

Counting specific cards, TT against KJs appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Put $100 each into a $200 pot and deal every board once: TT averages $107.54 back, ahead of its $100 by $7.54, while KJs averages $92.46, short of its $100 by $7.54.

Run 1,000 deals and the tally comes out near 536 for TT, 460 for KJs and 4 ties.

The same matchup from the other side

KJs versus TT is this same page seen from the other hand: 46.23% for KJs, 53.77% for TT.

The calculator link fills in TsTh against KdJd, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of TT against KJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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