KJs vs 33: preflop equity

KJs

50.92%

Wins 50.54%, ties 0.77%

49.08%

Wins 48.69%, ties 0.77%

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

KJs against 33: the numbers

Exact preflop results for KJs against 33, in percent
Hand	Wins	Ties	Loses	Equity
KJs	50.537	0.774	48.689	50.924
33	48.689	0.774	50.537	49.076

KJs and 33 are a suited hand and a pocket pair, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

This is close to even money, with KJs a little ahead. Ties are part of the picture: 0.77% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, KJs is number 20 of the 169 starting hands and 33 is number 66.

Boards behind the percentages: 41,095,296 counted in all
Hand	Boards won, about	Boards tied, about	Boards lost, about
KJs	20,768,000	318,000	20,009,000
33	20,009,000	318,000	20,768,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KJs against 33 read as odds
Hand	Equity as odds (to 1)	Wins one deal in	Loses one deal in	Pot odds needed to call (to 1)
KJs	1.038	1.979	2.054	0.964
33	0.964	2.054	1.979	1.038

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: KJs holds 56.61% on rainbow flops topped by a ten or better and 24.06% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower) and paired flops: on those flops 33 holds the better equity.

KJs against 33 by flop texture, in percent
Flop	Share of flops	KJs wins	Ties	33 wins	KJs equity
Rainbow, ten or higher	24.595	56.454	0.319	43.227	56.613
Rainbow, nine or lower	6.314	23.500	1.110	75.390	24.055
Two-tone	46.545	51.794	0.447	47.759	52.017
Monotone	5.212	49.028	3.266	47.706	50.661
Paired	17.334	49.068	1.426	49.506	49.781

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

A random hand would give KJs 62.57% and 33 53.69%. Against each other the change is -11.65 points for KJs and -4.61 for 33.

KJs and 33 here compared with each against a random hand, in percent
Case	Equity here	Against a random hand	Change in points	Times the random-hand equity
KJs, all flops	50.924	62.567	-11.643	0.81391
KJs, rainbow, ten or higher	56.613	62.567	-5.954	0.90484
KJs, rainbow, nine or lower	24.055	62.567	-38.512	0.38447
KJs, two-tone	52.017	62.567	-10.550	0.83138
KJs, monotone	50.661	62.567	-11.906	0.80971
KJs, paired	49.781	62.567	-12.786	0.79564
33, all flops	49.076	53.693	-4.617	0.91401
33, rainbow, ten or higher	43.387	53.693	-10.306	0.80806
33, rainbow, nine or lower	75.945	53.693	+22.252	1.41443
33, two-tone	47.983	53.693	-5.710	0.89365
33, monotone	49.339	53.693	-4.354	0.91891
33, paired	50.219	53.693	-3.474	0.93530

Does a shared suit matter?

When the hands share a suit, KJs holds 50.75%; when they do not, it holds 51.10%. KJs does better with no shared suit, by 0.35 points.

KJs against 33 by suit overlap, in percent
Deals	Specific deals	Share of deals	KJs wins	Ties	33 wins	KJs equity
Share a suit	12	50.00	50.348	0.805	48.847	50.751
No shared suit	12	50.00	50.726	0.743	48.531	51.097

How often this matchup comes up

Counting specific cards, KJs against 33 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $101.84 for KJs and $98.16 for 33; the first side gains $1.84 per all-in and the second gives up $1.84.

In 1,000 deals of exactly this matchup, expect about 505 won outright by KJs, about 487 won outright by 33 and about 8 split.

The same matchup from the other side

If you came looking for 33 against KJs, the numbers are the same with the hands swapped: 49.08% and 50.92%.

Try KsJs against 3h3d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

Nothing here is simulated. The 24 deals of KJs against 33 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session