77 vs KJs: preflop equity

In equity, 77 against KJs stands at 51.25% to 48.75%, a gap of 2.50 points.

77

51.25%

Wins 51.03%, ties 0.44%

KJs

48.75%

Wins 48.53%, ties 0.44%

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

77 against KJs: the numbers

Exact preflop results for 77 against KJs, in percent
HandWinsTiesLosesEquity
7751.0280.43948.53351.248
KJs48.5330.43951.02848.752

The matchup pits a pocket pair against a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

With only 2.50 points between them, the board decides this matchup far more than the cards in hand. About 0.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

77 ranks number 9 of 169 starting hands, and KJs ranks number 20, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7720,970,000180,00019,945,000
KJs19,945,000180,00020,970,000

Exact total: 24 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.

77 against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
771.0511.9602.0600.951
KJs0.9512.0601.9601.051

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

77 prefers low rainbow flops (nine high or lower), where it holds 78.19%, and likes rainbow flops topped by a ten or better least, where it holds 44.65%. Watch for rainbow flops topped by a ten or better and two-tone flops: on those flops KJs holds the better equity.

77 against KJs by flop texture, in percent
FlopShare of flops77 winsTiesKJs wins77 equity
Rainbow, ten or higher24.59544.5460.20555.24944.649
Rainbow, nine or lower6.31477.8610.65721.48278.189
Two-tone46.54549.2180.27850.50449.357
Monotone5.21249.5322.41148.05750.737
Paired17.33455.7610.53543.70456.028

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

Relative to a random opponent, 77 changes by -14.99 points (baseline 66.24%) and KJs by -13.82 points (baseline 62.57%).

77 and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops51.24866.236-14.9880.77372
77, rainbow, ten or higher44.64966.236-21.5870.67409
77, rainbow, nine or lower78.18966.236+11.9531.18046
77, two-tone49.35766.236-16.8790.74517
77, monotone50.73766.236-15.4990.76600
77, paired56.02866.236-10.2080.84588
KJs, all flops48.75262.567-13.8150.77920
KJs, rainbow, ten or higher55.35162.567-7.2160.88467
KJs, rainbow, nine or lower21.81162.567-40.7560.34860
KJs, two-tone50.64362.567-11.9240.80942
KJs, monotone49.26362.567-13.3040.78736
KJs, paired43.97262.567-18.5950.70280

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (77 at 51.41%) and 12 do not (51.08%). 77 does better with a shared suit, by 0.33 points.

77 against KJs by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTiesKJs wins77 equity
Share a suit1250.0051.1710.48348.34651.413
No shared suit1250.0050.8840.39648.72051.082

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $102.50 of it, which is $2.50 more than it put in, and KJs takes back $97.50, $2.50 less than it put in.

Run 1,000 deals and the tally comes out near 510 for 77, 485 for KJs and 5 ties.

The same matchup from the other side

KJs against 77 adds nothing new: it is 48.75% for KJs and 51.25% for 77, the same figures reversed.

The calculator link fills in 7s7h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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