J9s vs 64s: preflop equity

Before any board card is dealt, J9s holds 63.94% equity against 64s, which leaves 64s with 36.06%.

J9s

63.94%

Wins 63.29%, ties 1.30%

64s

36.06%

Wins 35.41%, ties 1.30%

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

J9s against 64s: the numbers

Exact preflop results for J9s against 64s, in percent
HandWinsTiesLosesEquity
J9s63.2871.29835.41563.936
64s35.4151.29863.28736.064

Both hands are suited hands: J9s and 64s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

J9s is ahead, but 64s is far from dead: it takes 354 of every 1,000 deals outright. The tie share is 1.30%: on those boards the pot is chopped and neither hand wins outright.

J9s ranks number 55 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s17,339,000356,0009,703,000
64s9,703,000356,00017,339,000

16 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.

J9s against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s1.7731.5802.8240.564
64s0.5642.8241.5801.773

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

Rainbow flops topped by a ten or better are the best for J9s (68.42%); low rainbow flops (nine high or lower) are the worst (47.80%). 64s is ahead on low rainbow flops (nine high or lower), even though it trails J9s when every flop is counted.

J9s against 64s by flop texture, in percent
FlopShare of flopsJ9s winsTies64s winsJ9s equity
Rainbow, ten or higher25.22068.0500.73431.21668.417
Rainbow, nine or lower5.68947.4790.63751.88447.798
Two-tone46.72763.1930.65736.15063.522
Monotone5.27359.2403.72137.03961.100
Paired17.09163.0233.35533.62264.700

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, 55.66% for J9s and 41.33% for 64s. This opponent changes them by +8.28 and -5.27 points.

J9s and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops63.93655.662+8.2741.14865
J9s, rainbow, ten or higher68.41755.662+12.7551.22915
J9s, rainbow, nine or lower47.79855.662-7.8640.85872
J9s, two-tone63.52255.662+7.8601.14121
J9s, monotone61.10055.662+5.4381.09770
J9s, paired64.70055.662+9.0381.16237
64s, all flops36.06441.333-5.2690.87252
64s, rainbow, ten or higher31.58341.333-9.7500.76411
64s, rainbow, nine or lower52.20241.333+10.8691.26296
64s, two-tone36.47841.333-4.8550.88254
64s, monotone38.90041.333-2.4330.94114
64s, paired35.30041.333-6.0330.85404

Does a shared suit matter?

Split by suits, the deals give J9s 66.35% when the hands overlap in a suit and 63.13% when they do not. J9s does better with a shared suit, by 3.22 points.

J9s against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies64s winsJ9s equity
Share a suit425.0065.6421.41932.93966.352
No shared suit1275.0062.5021.25736.24163.130

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are J9s against 64s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average J9s takes back $127.88 of it, which is $27.88 more than it put in, and 64s takes back $72.12, $27.88 less than it put in.

Think in thousands: about 633 of 1,000 go to J9s, about 354 go to 64s, and about 13 are chopped.

The same matchup from the other side

The reversed view, 64s against J9s, shows 36.06% for 64s and 63.94% for J9s. It is the same count, so it redirects here.

The calculator link fills in Js9s against 6h4h, 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

We counted every case. Each suit pattern of the 16 specific J9s against 64s 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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