J9s vs 65s: preflop equity

Dealt all in against each other, J9s takes 62.56% of the pot on average and 65s takes the other 37.44%.

J9s

62.56%

Wins 61.92%, ties 1.29%

65s

37.44%

Wins 36.79%, ties 1.29%

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

J9s against 65s: the numbers

Exact preflop results for J9s against 65s, in percent
HandWinsTiesLosesEquity
J9s61.9191.29036.79162.564
65s36.7911.29061.91937.436

J9s and 65s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 25.12 point lead is real, and 65s still takes about 368 of every 1,000 deals outright. Ties are 1.29% of the outcomes here; each tied board gives both hands half the pot.

For context, J9s sits at number 55 of 169 starting hands and 65s at number 128 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s16,964,000353,00010,080,000
65s10,080,000353,00016,964,000

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 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s1.6711.6152.7180.598
65s0.5982.7181.6151.671

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 (67.43%); low rainbow flops (nine high or lower) are the worst (43.49%). The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though J9s is ahead overall.

J9s against 65s by flop texture, in percent
FlopShare of flopsJ9s winsTies65s winsJ9s equity
Rainbow, ten or higher25.22067.0610.73432.20567.428
Rainbow, nine or lower5.68943.2000.58156.21943.491
Two-tone46.72761.7580.64937.59362.082
Monotone5.27358.1053.71238.18359.961
Paired17.09162.1833.35134.46663.858

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

A random hand would give J9s 55.66% and 65s 43.13%. Against each other the change is +6.90 points for J9s and -5.69 for 65s.

J9s and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops62.56455.662+6.9021.12400
J9s, rainbow, ten or higher67.42855.662+11.7661.21138
J9s, rainbow, nine or lower43.49155.662-12.1710.78134
J9s, two-tone62.08255.662+6.4201.11534
J9s, monotone59.96155.662+4.2991.07723
J9s, paired63.85855.662+8.1961.14725
65s, all flops37.43643.133-5.6970.86792
65s, rainbow, ten or higher32.57243.133-10.5610.75515
65s, rainbow, nine or lower56.50943.133+13.3761.31011
65s, two-tone37.91843.133-5.2150.87909
65s, monotone40.03943.133-3.0940.92827
65s, paired36.14243.133-6.9910.83792

Does a shared suit matter?

Split by suits, the deals give J9s 64.85% when the hands overlap in a suit and 61.80% when they do not. J9s does better with a shared suit, by 3.05 points.

J9s against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies65s winsJ9s equity
Share a suit425.0064.1481.41034.44264.853
No shared suit1275.0061.1761.25037.57461.801

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average J9s takes back $125.12 of it, which is $25.12 more than it put in, and 65s takes back $74.88, $25.12 less than it put in.

Per 1,000 deals: J9s wins about 619, 65s wins about 368, and about 13 end in a split pot.

The same matchup from the other side

65s against J9s adds nothing new: it is 37.44% for 65s and 62.56% for J9s, the same figures reversed.

Js9s against 6h5h 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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