KTs vs 76s: preflop equity

If KTs and 76s get all the chips in before the flop, KTs owns 61.95% of the pot in the long run and 76s owns 38.05%.

KTs

61.95%

Wins 61.63%, ties 0.66%

76s

38.05%

Wins 37.71%, ties 0.66%

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

KTs against 76s: the numbers

Exact preflop results for KTs against 76s, in percent
HandWinsTiesLosesEquity
KTs61.6260.65737.71761.954
76s37.7170.65761.62638.046

KTs meets 76s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

KTs is ahead, but 76s is far from dead: it takes 377 of every 1,000 deals outright. Ties are 0.66% of the outcomes here; each tied board gives both hands half the pot.

Place 22 of 169 belongs to KTs and place 115 belongs to 76s in the ranking against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs16,884,000180,00010,333,000
76s10,333,000180,00016,884,000

Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KTs against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.6281.6232.6510.614
76s0.6142.6511.6231.628

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

Split by what the flop looks like, KTs peaks at 68.95% on rainbow flops topped by a ten or better and bottoms out at 35.47% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.

KTs against 76s by flop texture, in percent
FlopShare of flopsKTs winsTies76s winsKTs equity
Rainbow, ten or higher24.59568.8050.29130.90468.950
Rainbow, nine or lower6.31435.2470.44064.31335.467
Two-tone46.72761.1370.30038.56361.287
Monotone5.27357.6153.45938.92659.345
Paired17.09163.6131.37835.00964.302

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

The table below sets each hand against its own random-hand baseline: a change of +0.16 points for KTs, from 61.79%, and -7.32 for 76s, from 45.37%.

KTs and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops61.95461.789+0.1651.00267
KTs, rainbow, ten or higher68.95061.789+7.1611.11589
KTs, rainbow, nine or lower35.46761.789-26.3220.57400
KTs, two-tone61.28761.789-0.5020.99188
KTs, monotone59.34561.789-2.4440.96045
KTs, paired64.30261.789+2.5131.04067
76s, all flops38.04645.372-7.3260.83853
76s, rainbow, ten or higher31.05045.372-14.3220.68434
76s, rainbow, nine or lower64.53345.372+19.1611.42231
76s, two-tone38.71345.372-6.6590.85324
76s, monotone40.65545.372-4.7170.89604
76s, paired35.69845.372-9.6740.78678

Does a shared suit matter?

Split by suits, the deals give KTs 64.17% when the hands overlap in a suit and 61.22% when they do not. KTs does better with a shared suit, by 2.95 points.

KTs against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTies76s winsKTs equity
Share a suit425.0063.8010.74235.45764.172
No shared suit1275.0060.9010.62938.47061.215

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. KTs is worth $123.90 on average (+$23.90); 76s is worth $76.10 (-$23.90).

Over a long run, 1,000 deals split into about 616 for KTs, 377 for 76s and 7 tied.

The same matchup from the other side

One page covers both views. From 76s' side the equity is 38.05%, and from KTs' side it is 61.95%.

Try KsTs against 7h6h 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

Nothing here is simulated. The 16 deals of KTs against 76s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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