JJ vs 55: preflop equity

Averaged over every possible board, JJ is ahead of 55 by 61.08 points of equity, 80.54% to 19.46%.

JJ

80.54%

Wins 80.33%, ties 0.42%

55

19.46%

Wins 19.25%, ties 0.42%

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

JJ against 55: the numbers

Exact preflop results for JJ against 55, in percent
HandWinsTiesLosesEquity
JJ80.3330.41719.25080.541
5519.2500.41780.33319.459

Each side holds one of the pocket pairs: JJ and 55. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

A gap this wide means 55 is in trouble before the flop and has few good runouts. About 0.42% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, JJ sits at number 4 of 169 starting hands and 55 at number 27 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
JJ49,520,000257,00011,866,000
5511,866,000257,00049,520,000

Exact total: 36 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.

JJ against 55 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.1391.2455.1950.242
550.2425.1951.2454.139

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

If you know the kind of flop that came, the numbers shift: JJ holds 86.38% on paired flops and 65.26% on low rainbow flops (nine high or lower). 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 55 by flop texture, in percent
FlopShare of flopsJJ winsTies55 winsJJ equity
Rainbow, ten or higher24.59583.5620.22016.21883.672
Rainbow, nine or lower6.31464.8590.79934.34265.258
Two-tone46.36379.1960.32720.47779.360
Monotone5.15274.1001.85224.04875.026
Paired17.57686.1970.37313.43086.384

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, JJ holds 77.47% and 55 holds 60.33%. Facing each other changes that by +3.07 points for JJ and -40.87 points for 55.

JJ and 55 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops80.54177.469+3.0721.03965
JJ, rainbow, ten or higher83.67277.469+6.2031.08007
JJ, rainbow, nine or lower65.25877.469-12.2110.84238
JJ, two-tone79.36077.469+1.8911.02441
JJ, monotone75.02677.469-2.4430.96846
JJ, paired86.38477.469+8.9151.11508
55, all flops19.45960.325-40.8660.32257
55, rainbow, ten or higher16.32860.325-43.9970.27067
55, rainbow, nine or lower34.74260.325-25.5830.57591
55, two-tone20.64060.325-39.6850.34215
55, monotone24.97460.325-35.3510.41399
55, paired13.61660.325-46.7090.22571

Does a shared suit matter?

The suit split reads 80.67% for JJ with a shared suit and 79.89% without one. JJ does better with a shared suit, by 0.78 points.

JJ against 55 by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies55 winsJJ equity
Share a suit3083.3380.4570.43219.11180.673
No shared suit616.6779.7130.34319.94479.885

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 55 in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $161.08 on average (+$61.08); 55 is worth $38.92 (-$61.08).

Run 1,000 deals and the tally comes out near 803 for JJ, 193 for 55 and 4 ties.

The same matchup from the other side

Swap the hands and you get 55 with 19.46% against JJ with 80.54%. We keep one page per matchup, with the better-ranked hand first.

JsJh against 5d5c 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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