QJo vs 33: preflop equity

QJo against 33: the numbers

We compare an offsuit hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

With only 0.86 points between them, the board decides this matchup far more than the cards in hand. 0.97% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, QJo is number 39 and 33 is number 66.

72 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.

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

33 prefers low rainbow flops (nine high or lower), where it holds 76.89%, and likes rainbow flops topped by a ten or better least, where it holds 43.58%. The overall edge for 33 hides rainbow flops topped by a ten or better and monotone flops, where QJo comes out in front.

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Against one random hand instead, QJo holds 58.14% and 33 holds 53.69%. Facing each other changes that by -8.57 points for QJo and -3.26 points for 33.

Does a shared suit matter?

The suit split reads 50.34% for 33 with a shared suit and 50.87% without one. 33 does better with no shared suit, by 0.53 points.

How often this matchup comes up

Counting specific cards, QJo against 33 appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

With $100 from each side, the $200 pot is split on average as $100.86 for 33 and $99.14 for QJo; the first side gains $0.86 per all-in and the second gives up $0.86.

A thousand deals look like this: 33 takes 499, QJo takes 491, 10 are ties.

The same matchup from the other side

If you came looking for 33 against QJo, the numbers are the same with the hands swapped: 50.43% and 49.57%.

Keep exploring

Open the calculator with QsJh against 3d3c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

• Open QsJh against 3d3c in the equity calculator
• QJo combos
• 33 combos
• QJo vs T8s
• QJo vs T9o
• K9o vs 33
• All hand matchups