JJ vs 44: preflop equity

In equity, JJ against 44 stands at 80.98% to 19.02%, a gap of 61.96 points.

JJ

80.98%

Wins 80.76%, ties 0.45%

44

19.02%

Wins 18.79%, ties 0.45%

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

JJ against 44: the numbers

Exact preflop results for JJ against 44, in percent
HandWinsTiesLosesEquity
JJ80.7550.45318.79280.981
4418.7920.45380.75519.019

Here pocket pairs face each other, JJ on one side and 44 on the other. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

This is one of the lopsided matchups: 44 wins only 18.79% of the boards outright. Split pots make up 0.45% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, JJ is number 4 and 44 is number 48.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ49,780,000279,00011,584,000
4411,584,000279,00049,780,000

The total is exact: 36 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.

JJ against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.2581.2385.3210.235
440.2355.3211.2384.258

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

Break the boards down by their first three cards and JJ is strongest on paired flops (86.61%) and weakest on low rainbow flops (nine high or lower) (66.95%). JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against 44 by flop texture, in percent
FlopShare of flopsJJ winsTies44 winsJJ equity
Rainbow, ten or higher24.59583.7560.22116.02383.867
Rainbow, nine or lower6.31466.4590.97732.56466.947
Two-tone46.36379.6610.36119.97879.842
Monotone5.15274.4542.01623.53075.462
Paired17.57686.4220.37313.20586.609

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

Against one random hand instead, JJ holds 77.47% and 44 holds 57.02%. Facing each other changes that by +3.51 points for JJ and -38.00 points for 44.

JJ and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops80.98177.469+3.5121.04533
JJ, rainbow, ten or higher83.86777.469+6.3981.08259
JJ, rainbow, nine or lower66.94777.469-10.5220.86418
JJ, two-tone79.84277.469+2.3731.03063
JJ, monotone75.46277.469-2.0070.97409
JJ, paired86.60977.469+9.1401.11798
44, all flops19.01957.023-38.0040.33353
44, rainbow, ten or higher16.13357.023-40.8900.28292
44, rainbow, nine or lower33.05357.023-23.9700.57964
44, two-tone20.15857.023-36.8650.35351
44, monotone24.53857.023-32.4850.43032
44, paired13.39157.023-43.6320.23484

Does a shared suit matter?

Does suit overlap move the numbers? JJ has 81.11% when the hands share a suit and 80.32% when they do not. JJ does better with a shared suit, by 0.79 points.

JJ against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies44 winsJJ equity
Share a suit3083.3380.8810.46618.65381.114
No shared suit616.6780.1280.38519.48780.320

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are JJ in one seat and 44 in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says JJ gets $161.96 of it on average and 44 gets $38.04.

In 1,000 deals of exactly this matchup, expect about 808 won outright by JJ, about 188 won outright by 44 and about 4 split.

The same matchup from the other side

The mirror image, 44 against JJ, is 19.02% to 80.98%, and its address redirects to this page.

Open the calculator with JsJh against 4d4c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

We counted every case. Each suit pattern of the 36 specific JJ against 44 deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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