77 vs KTs: preflop equity

Over all 1,712,304 boards that can follow this deal, 77 finishes with 51.32% of the pot and KTs with 48.68%.

77

51.32%

Wins 51.11%, ties 0.44%

KTs

48.68%

Wins 48.45%, ties 0.44%

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

77 against KTs: the numbers

Exact preflop results for 77 against KTs, in percent
HandWinsTiesLosesEquity
7751.1070.43548.45851.324
KTs48.4580.43551.10748.676

The first hand is a pocket pair; the second is 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 2.64 points between them, the board decides this matchup far more than the cards in hand. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, 77 is number 9 of the 169 starting hands and KTs is number 22.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7721,003,000179,00019,914,000
KTs19,914,000179,00021,003,000

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.

77 against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
771.0541.9572.0640.948
KTs0.9482.0641.9571.054

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Low rainbow flops (nine high or lower) are the best for 77 (77.81%); rainbow flops topped by a ten or better are the worst (44.84%). On rainbow flops topped by a ten or better and two-tone flops the numbers flip and KTs is the one ahead.

77 against KTs by flop texture, in percent
FlopShare of flops77 winsTiesKTs wins77 equity
Rainbow, ten or higher24.59544.7240.22555.05144.837
Rainbow, nine or lower6.31477.5440.54121.91577.814
Two-tone46.54549.2950.27150.43449.430
Monotone5.21249.5722.40848.02050.776
Paired17.33455.8620.53943.59956.131

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

Against one random hand instead, 77 holds 66.24% and KTs holds 61.79%. Facing each other changes that by -14.92 points for 77 and -13.11 points for KTs.

77 and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops51.32466.236-14.9120.77487
77, rainbow, ten or higher44.83766.236-21.3990.67693
77, rainbow, nine or lower77.81466.236+11.5781.17480
77, two-tone49.43066.236-16.8060.74627
77, monotone50.77666.236-15.4600.76659
77, paired56.13166.236-10.1050.84744
KTs, all flops48.67661.789-13.1130.78778
KTs, rainbow, ten or higher55.16361.789-6.6260.89276
KTs, rainbow, nine or lower22.18661.789-39.6030.35906
KTs, two-tone50.57061.789-11.2190.81843
KTs, monotone49.22461.789-12.5650.79665
KTs, paired43.86961.789-17.9200.70998

Does a shared suit matter?

Does suit overlap move the numbers? 77 has 51.48% when the hands share a suit and 51.17% when they do not. 77 does better with a shared suit, by 0.31 points.

77 against KTs by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTiesKTs wins77 equity
Share a suit1250.0051.2420.47848.28051.481
No shared suit1250.0050.9720.39248.63651.168

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Put $100 each into a $200 pot and deal every board once: 77 averages $102.64 back, ahead of its $100 by $2.64, while KTs averages $97.36, short of its $100 by $2.64.

Out of 1,000 deals you should see around 511 outright wins for 77, 485 for KTs, and 4 split pots.

The same matchup from the other side

Read it from the other side: KTs against 77 is the same matchup with the numbers swapped, so KTs holds 48.68% and 77 holds 51.32%. That address sends you back to this page.

Try 7s7h against KdTd 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

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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