JJ vs 64s: preflop equity

In equity, JJ against 64s stands at 79.56% to 20.44%, a gap of 59.12 points.

JJ

79.56%

Wins 79.34%, ties 0.43%

64s

20.44%

Wins 20.23%, ties 0.43%

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

JJ against 64s: the numbers

Exact preflop results for JJ against 64s, in percent
HandWinsTiesLosesEquity
JJ79.3430.42620.23179.556
64s20.2310.42679.34320.444

The first hand is a pocket pair; the second 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.

A lead of 59.12 points is large but not decisive: 64s still takes about 202 of every 1,000 deals. Ties are 0.43% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and 64s is number 138.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ32,606,000175,0008,314,000
64s8,314,000175,00032,606,000

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 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ3.8911.2604.9430.257
64s0.2574.9431.2603.891

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

By flop texture, JJ's equity runs from 65.01% on low rainbow flops (nine high or lower) up to 85.41% on rainbow flops topped by a ten or better. 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 64s by flop texture, in percent
FlopShare of flopsJJ winsTies64s winsJJ equity
Rainbow, ten or higher24.59585.3140.18414.50285.406
Rainbow, nine or lower6.31464.5800.85134.56965.005
Two-tone46.54577.5670.30322.13077.718
Monotone5.21272.9602.43524.60574.177
Paired17.33482.9370.34316.72083.108

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

Start from the random-hand figures, 77.47% for JJ and 41.33% for 64s. This opponent changes them by +2.09 and -20.89 points.

JJ and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops79.55677.469+2.0871.02694
JJ, rainbow, ten or higher85.40677.469+7.9371.10245
JJ, rainbow, nine or lower65.00577.469-12.4640.83911
JJ, two-tone77.71877.469+0.2491.00321
JJ, monotone74.17777.469-3.2920.95751
JJ, paired83.10877.469+5.6391.07279
64s, all flops20.44441.333-20.8890.49462
64s, rainbow, ten or higher14.59441.333-26.7390.35308
64s, rainbow, nine or lower34.99541.333-6.3380.84666
64s, two-tone22.28241.333-19.0510.53908
64s, monotone25.82341.333-15.5100.62476
64s, paired16.89241.333-24.4410.40868

Does a shared suit matter?

Looking only at deals where the hands share a suit, JJ has 80.14%; looking only at deals where they do not, 78.97%. JJ does better with a shared suit, by 1.17 points.

JJ against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies64s winsJJ equity
Share a suit1250.0079.9080.47019.62280.143
No shared suit1250.0078.7770.38320.84078.969

How often this matchup comes up

JJ against 64s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $159.12 of it, which is $59.12 more than it put in, and 64s takes back $40.88, $59.12 less than it put in.

Scaled to 1,000 deals, that is roughly 794 wins for JJ, 202 for 64s and 4 chopped pots.

The same matchup from the other side

The reversed view, 64s against JJ, shows 20.44% for 64s and 79.56% for JJ. It is the same count, so it redirects here.

JsJh against 6d4d 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

Nothing here is simulated. The 24 deals of JJ against 64s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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