QJs vs 43s: preflop equity

Averaged over every possible board, QJs is ahead of 43s by 27.30 points of equity, 63.65% to 36.35%.

QJs

63.65%

Wins 63.16%, ties 0.98%

43s

36.35%

Wins 35.86%, ties 0.98%

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

QJs against 43s: the numbers

Exact preflop results for QJs against 43s, in percent
HandWinsTiesLosesEquity
QJs63.1640.98035.85663.654
43s35.8560.98063.16436.346

Two suited hands meet here: QJs against 43s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.98%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, QJs is number 28 and 43s is number 150 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs17,305,000268,0009,823,000
43s9,823,000268,00017,305,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

QJs against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs1.7511.5832.7890.571
43s0.5712.7891.5831.751

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

QJs prefers rainbow flops topped by a ten or better, where it holds 70.47%, and likes low rainbow flops (nine high or lower) least, where it holds 39.08%. 43s is ahead on low rainbow flops (nine high or lower), even though it trails QJs when every flop is counted.

QJs against 43s by flop texture, in percent
FlopShare of flopsQJs winsTies43s winsQJs equity
Rainbow, ten or higher24.59570.2510.43729.31270.470
Rainbow, nine or lower6.31438.5771.01160.41239.083
Two-tone46.72762.7830.50836.70963.037
Monotone5.27358.9233.77637.30160.811
Paired17.09164.3982.17633.42665.486

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Against one random hand instead, QJs holds 60.26% and 43s holds 38.64%. Facing each other changes that by +3.39 points for QJs and -2.29 points for 43s.

QJs and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops63.65460.259+3.3951.05634
QJs, rainbow, ten or higher70.47060.259+10.2111.16945
QJs, rainbow, nine or lower39.08360.259-21.1760.64858
QJs, two-tone63.03760.259+2.7781.04610
QJs, monotone60.81160.259+0.5521.00916
QJs, paired65.48660.259+5.2271.08674
43s, all flops36.34638.642-2.2960.94058
43s, rainbow, ten or higher29.53038.642-9.1120.76419
43s, rainbow, nine or lower60.91738.642+22.2751.57645
43s, two-tone36.96338.642-1.6790.95655
43s, monotone39.18938.642+0.5471.01416
43s, paired34.51438.642-4.1280.89317

Does a shared suit matter?

Does suit overlap move the numbers? QJs has 66.03% when the hands share a suit and 62.86% when they do not. QJs does better with a shared suit, by 3.17 points.

QJs against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTies43s winsQJs equity
Share a suit425.0065.4881.07733.43566.026
No shared suit1275.0062.3900.94736.66362.863

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are QJs against 43s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. QJs' equity of 63.65% is worth $127.30, a $27.30 edge, and 43s' 36.35% is worth $72.70, which is $27.30 under its stake.

Over a long run, 1,000 deals split into about 632 for QJs, 358 for 43s and 10 tied.

The same matchup from the other side

Read it from the other side: 43s against QJs is the same matchup with the numbers swapped, so 43s holds 36.35% and QJs holds 63.65%. That address sends you back to this page.

QsJs against 4h3h 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

This is an exact count with no sampling. For the 16 ways to deal one QJs and one 43s 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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