KK vs 44: preflop equity

In equity, KK against 44 stands at 80.92% to 19.08%, a gap of 61.84 points.

KK

80.92%

Wins 80.70%, ties 0.45%

44

19.08%

Wins 18.85%, ties 0.45%

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

KK against 44: the numbers

Exact preflop results for KK against 44, in percent
HandWinsTiesLosesEquity
KK80.6990.45118.85080.924
4418.8500.45180.69919.076

The matchup is pocket pairs on both sides, KK against 44. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

KK is a big favorite here before anyone sees a flop. The tie share is 0.45%: on those boards the pot is chopped and neither hand wins outright.

For context, KK sits at number 2 of 169 starting hands and 44 at number 48 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK49,745,000278,00011,620,000
4411,620,000278,00049,745,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KK against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK4.2421.2395.3050.236
440.2365.3051.2394.242

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

Break the boards down by their first three cards and KK is strongest on paired flops (86.75%) and weakest on low rainbow flops (nine high or lower) (66.78%). KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KK against 44 by flop texture, in percent
FlopShare of flopsKK winsTies44 winsKK equity
Rainbow, ten or higher24.59583.6530.25516.09283.781
Rainbow, nine or lower6.31466.2101.13732.65366.779
Two-tone46.36379.5350.41720.04879.744
Monotone5.15274.3662.05123.58375.392
Paired17.57686.6950.10013.20586.745

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

Each hand has a baseline against a random hand: 82.40% for KK, 57.02% for 44. Here the change is -1.48 and -37.94 points.

KK and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops80.92482.396-1.4720.98214
KK, rainbow, ten or higher83.78182.396+1.3851.01681
KK, rainbow, nine or lower66.77982.396-15.6170.81046
KK, two-tone79.74482.396-2.6520.96781
KK, monotone75.39282.396-7.0040.91500
KK, paired86.74582.396+4.3491.05278
44, all flops19.07657.023-37.9470.33453
44, rainbow, ten or higher16.21957.023-40.8040.28443
44, rainbow, nine or lower33.22157.023-23.8020.58259
44, two-tone20.25657.023-36.7670.35523
44, monotone24.60857.023-32.4150.43155
44, paired13.25557.023-43.7680.23245

Does a shared suit matter?

Looking only at deals where the hands share a suit, KK has 81.06%; looking only at deals where they do not, 80.27%. KK does better with a shared suit, by 0.79 points.

KK against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies44 winsKK equity
Share a suit3083.3380.8240.46518.71181.056
No shared suit616.6780.0730.38419.54380.265

How often this matchup comes up

How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are KK against 44, and 72 (0.0044%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KK's average share is $161.84 (a gain of $61.84) and 44's is $38.16 (a loss of $61.84).

Over a long run, 1,000 deals split into about 807 for KK, 188 for 44 and 5 tied.

The same matchup from the other side

The reversed view, 44 against KK, shows 19.08% for 44 and 80.92% for KK. It is the same count, so it redirects here.

KsKh against 4d4c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 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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