JJ vs 65s: preflop equity

Before any board card is dealt, JJ holds 77.91% equity against 65s, which leaves 65s with 22.09%.

JJ

77.91%

Wins 77.70%, ties 0.42%

65s

22.09%

Wins 21.88%, ties 0.42%

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

JJ against 65s: the numbers

Exact preflop results for JJ against 65s, in percent
HandWinsTiesLosesEquity
JJ77.7020.41721.88177.911
65s21.8810.41777.70222.089

One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

JJ is the clear favorite, though 65s gets there on roughly one board in 5. Split pots make up 0.42% of the boards, and both equity figures count them as half a win each.

Among the 169 starting hands, JJ is number 4 and 65s is number 128 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ31,932,000171,0008,992,000
65s8,992,000171,00031,932,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

JJ against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ3.5271.2874.5700.284
65s0.2844.5701.2873.527

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: JJ holds 84.20% on rainbow flops topped by a ten or better and 60.31% 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 65s by flop texture, in percent
FlopShare of flopsJJ winsTies65s winsJJ equity
Rainbow, ten or higher24.59584.1070.18515.70884.200
Rainbow, nine or lower6.31459.9190.78339.29860.310
Two-tone46.54575.8140.29223.89475.960
Monotone5.21271.6682.42725.90572.882
Paired17.33481.9770.34317.68082.148

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

Relative to a random opponent, JJ changes by +0.44 points (baseline 77.47%) and 65s by -21.04 points (baseline 43.13%).

JJ and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops77.91177.469+0.4421.00571
JJ, rainbow, ten or higher84.20077.469+6.7311.08689
JJ, rainbow, nine or lower60.31077.469-17.1590.77850
JJ, two-tone75.96077.469-1.5090.98052
JJ, monotone72.88277.469-4.5870.94079
JJ, paired82.14877.469+4.6791.06040
65s, all flops22.08943.133-21.0440.51211
65s, rainbow, ten or higher15.80043.133-27.3330.36631
65s, rainbow, nine or lower39.69043.133-3.4430.92018
65s, two-tone24.04043.133-19.0930.55735
65s, monotone27.11843.133-16.0150.62871
65s, paired17.85243.133-25.2810.41388

Does a shared suit matter?

The suit split reads 78.47% for JJ with a shared suit and 77.35% without one. JJ does better with a shared suit, by 1.12 points.

JJ against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies65s winsJJ equity
Share a suit1250.0078.2420.46121.29778.472
No shared suit1250.0077.1630.37322.46477.350

How often this matchup comes up

Counting specific cards, JJ against 65s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. JJ averages $155.82 from the $200, up $55.82; 65s averages $44.18, down $55.82.

Think in thousands: about 777 of 1,000 go to JJ, about 219 go to 65s, and about 4 are chopped.

The same matchup from the other side

The mirror image, 65s against JJ, is 22.09% to 77.91%, and its address redirects to this page.

The calculator link fills in JsJh against 6d5d, 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

This is an exact count with no sampling. For the 24 ways to deal one JJ and one 65s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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