J9s vs 43s: preflop equity

If J9s and 43s get all the chips in before the flop, J9s owns 63.81% of the pot in the long run and 43s owns 36.19%.

J9s

63.81%

Wins 63.14%, ties 1.34%

43s

36.19%

Wins 35.52%, ties 1.34%

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

J9s against 43s: the numbers

Exact preflop results for J9s against 43s, in percent
HandWinsTiesLosesEquity
J9s63.1441.33835.51863.813
43s35.5181.33863.14436.187

The matchup is suited hands on both sides, J9s against 43s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 27.62 point lead is real, and 43s still takes about 355 of every 1,000 deals outright. About 1.34% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, J9s holds place 55 of 169 and 43s holds place 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s17,299,000367,0009,731,000
43s9,731,000367,00017,299,000

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 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s1.7631.5842.8150.567
43s0.5672.8151.5841.763

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

J9s prefers rainbow flops topped by a ten or better, where it holds 67.55%, and likes low rainbow flops (nine high or lower) least, where it holds 50.33%. J9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

J9s against 43s by flop texture, in percent
FlopShare of flopsJ9s winsTies43s winsJ9s equity
Rainbow, ten or higher25.22067.1690.75732.07467.548
Rainbow, nine or lower5.68949.9390.78149.28050.330
Two-tone46.72762.9590.69736.34463.308
Monotone5.27359.0583.90137.04161.008
Paired17.09163.3683.34133.29165.038

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

Each hand has a baseline against a random hand: 55.66% for J9s, 38.64% for 43s. Here the change is +8.15 and -2.45 points.

J9s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops63.81355.662+8.1511.14644
J9s, rainbow, ten or higher67.54855.662+11.8861.21354
J9s, rainbow, nine or lower50.33055.662-5.3320.90421
J9s, two-tone63.30855.662+7.6461.13736
J9s, monotone61.00855.662+5.3461.09604
J9s, paired65.03855.662+9.3761.16845
43s, all flops36.18738.642-2.4550.93647
43s, rainbow, ten or higher32.45238.642-6.1900.83981
43s, rainbow, nine or lower49.67038.642+11.0281.28539
43s, two-tone36.69238.642-1.9500.94954
43s, monotone38.99238.642+0.3501.00906
43s, paired34.96238.642-3.6800.90477

Does a shared suit matter?

Split by suits, the deals give J9s 66.21% when the hands overlap in a suit and 63.02% when they do not. J9s does better with a shared suit, by 3.19 points.

J9s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies43s winsJ9s equity
Share a suit425.0065.4811.45633.06366.209
No shared suit1275.0062.3651.29936.33663.015

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. J9s averages $127.62 from the $200, up $27.62; 43s averages $72.38, down $27.62.

Run 1,000 deals and the tally comes out near 632 for J9s, 355 for 43s and 13 ties.

The same matchup from the other side

43s against J9s adds nothing new: it is 36.19% for 43s and 63.81% for J9s, the same figures reversed.

The calculator link fills in Js9s against 4h3h, 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

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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