K3o

K3o (king-three offsuit) wins 51.3% of the time against a single random opponent, which places it 80th out of the 169 starting hands — the top 47.3% of the range. At a six-handed table (five opponents) its equity falls to 14.3% and its rank moves to 119; nine-handed (eight opponents) it holds 8.9% for rank 132. Two unconnected offsuit cards — the class of hand most often overvalued.

Its suited/offsuit twin K3s runs at 54.0% (rank 63), a gap of 2.7 points. Losing the shared suit costs 2.7 points of raw equity. The hand directly above it in the ranking is T9o at 51.4%, and directly below is Q3s at 51.0%, so three hands are packed into a band of 0.4 points.

Played heads-up against each of the other 168 hands, K3o is a favourite against 112 of them and an underdog against 56. Its best matchup is Q3o at 75.2% and its worst is KK at 5.8% — a spread of 69.4 points, which is why calling K3o simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being K2s at 50.4%.

K3o dominates 8 hands that share one of its ranks, pushing hardest against Q3o at 75.2%. It is dominated by 8 hands in return, the worst of them AKs, which leaves K3o with only 21.9%. A single kicker can move the number by tens of points, and the full table below lists every one of those opponents.

Within the 78 offsuit hands it comes 31 of 78. The strongest hand in that group, AKo, is 14.1 points away, and the weakest, 32o, sits 19 points below. Measured against the average equity of all 169 hands, 51%, K3o lands +0.3 points from the middle of the pack, and 79 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 51.3% against one opponent, 31.8% against two, 17.9% against four and 8.9% against eight. That last figure is 80% of an even nine-way share (11.1%). The Chen formula scores this hand at 3 points, and it arrives 0.9% of the time (12 of 1,326 combinations).

One caveat worth repeating: every number on this page assumes the opponent holds a completely random hand and that the pot goes to showdown. Real opponents hold ranges, and a range that has already put money in is stronger than random — which is exactly why K3o reads as 51.3% here but plays worse than that against a raise. Use the 168 rows in the table below to see which specific holdings are the problem, rather than treating the headline figure as a verdict on the hand.

K3o pairs the board on the flop — at least one of its two ranks hits — 32.4% of the time, and flops top pair or better (the paired card is the highest on the board, or two pair and up) 15.5%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.0000% of the time (zero flops — the two cards are too far apart), gives an eight-out draw 0.980% and a four-out gutshot 4.57%. By the river a straight using a hole card completes 2.09% of the time.

Put together, K3o flops a pair or better or a strong draw (an eight-out straight draw) 33.4% of the time — rank 150 of the 156 unpaired hands (tied with 3 others). The highest is JTs, T9s, 98s and 4 others at 50.6% and the lowest AKo, A2o at 32.8%.

Against one random hand, K3o goes from 51.4% before the flop up to 71.1% when either card pairs, and down to 42.0% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Missing with a card above K on board leaves 46.5%; missing with nothing above K leaves 40.4%.

By board shape: rainbow 52.0%, two-tone 51.1%, monotone 50.6%. A monotone flop in one of your suits gives 59.1%. A paired board gives 54.9%, and a connected board (three ranks within five) 46.2%. The best row in the table is "Either card hits (a matching rank on the flop)" at 71.1%, the worst "and nothing above K" at 40.4%.

The 51.3% at the top of the page is a 400,000-hand simulation; this table counts every deal of the opponent's two cards and the five-card board (2,097,572,400 per starting hand), which puts the pre-flop figure at 51.43% (a gap of 0.13 points). Each equity is taken with the flop out and the turn and river still to come.