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JJ vs 33

JJ
VS
33
81.4%
equity for JJ — 33 takes 18.6%

Pair over pair — the higher pair is roughly an 80/20 favourite.

JJ Win
81.2%
Tie
0.5%
JJ Lose
18.4%
Card combinations
36
JJ vs random
77.5% · #4
33 vs random
53.7% · #67
Breakdown

Win, tie and loss for JJ

Win 81.2%Lose 18.4%

When JJ and 33 get all in before the flop, JJ wins 81.4% of the time and 33 takes 18.6%. Broken down, JJ wins outright 81.2%, chops 0.5% and loses 18.4% — a margin of 62.8 points. Pair over pair — the higher pair is roughly an 80/20 favourite.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 80.9% (for example Js Jh against 3d 3c); with both suits shared it is 82.1% (Js Jh against 3s 3h). That is a spread of 1.15 points across the 36 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes JJ 63.6%, 33 16.9%, random 19.4%. JJ gives up 17.8 points and 33 gives up 1.7, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, JJ is worth 77.5% against a random hand (rank 4 of 169) and 33 is worth 53.7% (rank 67). The gap between them in the ranking is only 23.8 points, yet head to head the gap is 62.8 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, JJ scoops roughly 81 pots, splits about one, and loses the remaining 18. Against eight random opponents rather than this one specific hand, JJ would be down to 21.7% and 33 to 12.8%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 33's side, 18.6% is the break-even point for calling an all-in at 4.38:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 18.6% of the pot you are playing for. JJ holds the other 81.4% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes 33 really does hold exactly 33; against the wider range a player would actually get all in with, JJ's 81.4% moves. Use the individual pages for JJ and 33 to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosJJ EquityWinTieLose
No shared suitJs Jh vs 3d 3c680.9%80.7%0.5%18.9%
One shared suitJs Jh vs 3s 3d2481.4%81.1%0.5%18.4%
Both suits sharedJs Jh vs 3s 3h682.1%81.8%0.5%17.7%
Flop and turn

Who leads on each street, and how often it flips

Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.

When the three flop cards are out, JJ is ahead 88.8% of the time and 33 11.2%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When JJ leads on the flop, 33 comes back on the turn and river 9.56% of the time. When 33 leads on the flop, JJ turns it around 11.6% of the time. The hand in front holds on to win 89.7% of the time from the flop and 93.7% from the turn (level spots left out).

With the turn out, JJ leads 85.3% and 33 14.7%. Counted exhaustively, JJ finishes with 81.42% equity (the 81.4% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 89.7%, flips 9.79%
After the flopHow oftenJJ winsTie33 wins
JJ ahead88.8%90.0%0.481%9.56%
Level (same hand)0%Never happens
33 ahead11.2%11.6%0.592%87.8%
On the turn — lead holds 93.7%, flips 5.85%
After the turnHow oftenJJ winsTie33 wins
JJ ahead85.3%93.9%0.411%5.66%
Level (same hand)0%Never happens
33 ahead14.7%6.98%0.969%92.1%

"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.

Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

JJ
63.6%
vs heads-up -17.8pt
33
16.9%
vs heads-up -1.7pt
Random third hand
19.4%
Player count

At a bigger table

Random opponentsJJ33
177.5%53.7%
261.4%33.1%
440.2%19.1%
821.7%12.8%

Related

FAQ

JJ or 33 — which is ahead preflop?

JJ is the favourite. JJ takes 81.4% and 33 18.6%, a margin of 62.8 points, with 0.5% of hands ending in a chop.

Do the suits change JJ vs 33?

Yes. With no shared suit it is 80.9%, and with both suits shared it is 82.1% — a swing of up to 1.15 points.

What happens three-way?

With one extra random hand in the pot the split is JJ 63.6%, 33 16.9%, random 19.4%. JJ drops 17.8 points compared with heads-up.

How often does the flop leader lose in JJ vs 33?

The hand ahead on the flop goes on to lose 9.79% of the time (level spots left out). When JJ leads, 33 comes back 9.56%. When 33 leads, JJ comes back 11.6%. Exact counts over every flop, turn and river.

429 words / 32 distinct figures — Method