KQo

KQo (king-queen offsuit) wins 61.5% of the time against a single random opponent, which places it 23th out of the 169 starting hands — the top 13.6% of the range. At a six-handed table (five opponents) its equity falls to 24.7% and its rank moves to 19; nine-handed (eight opponents) it holds 16.7% for rank 20. A connector — straight potential, but nothing else to lean on.

Its suited/offsuit twin KQs runs at 63.4% (rank 16), a gap of 1.9 points. Losing the shared suit costs 1.9 points of raw equity. The hand directly above it in the ranking is KTs at 61.8%, and directly below is A7s at 60.9%, so three hands are packed into a band of 0.9 points.

Played heads-up against each of the other 168 hands, KQo is a favourite against 130 of them and an underdog against 38. Its best matchup is Q2o at 77.0% and its worst is KK at 8.8% — a spread of 68.2 points, which is why calling KQo simply "strong" or "weak" says very little.

KQo dominates 8 hands that share one of its ranks, pushing hardest against Q2o at 77.0%. It is dominated by 4 hands in return, the worst of them AQs, which leaves KQo with only 24.3%. 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 5 of 78. The strongest hand in that group, AKo, is 3.9 points away, and the weakest, 32o, sits 29.2 points below. Measured against the average equity of all 169 hands, 51%, KQo lands +10.5 points from the middle of the pack, and 22 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 61.5% against one opponent, 44.4% against two, 29.2% against four and 16.7% against eight. That last figure is 150% of an even nine-way share (11.1%). The Chen formula scores this hand at 8 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 KQo reads as 61.5% 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.

KQo 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) 27.3%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.653% of the time (128 flops), gives an eight-out draw 3.02% and a four-out gutshot 12.7%. By the river a straight using a hole card completes 4.80% of the time.

Put together, KQo flops a pair or better or a strong draw (an eight-out straight draw) 35.6% of the time — rank 107 of the 156 unpaired hands (tied with 1 other). The highest is JTs, T9s, 98s and 4 others at 50.6% and the lowest AKo, A2o at 32.8%.

Against one random hand, KQo goes from 61.5% before the flop up to 83.9% when either card pairs, and down to 50.7% 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 55.8%; missing with nothing above K leaves 49.0%.

By board shape: rainbow 62.0%, two-tone 61.2%, monotone 60.4%. A monotone flop in one of your suits gives 70.1%. A paired board gives 61.8%, and a connected board (three ranks within five) 54.1%. The best row in the table is "Either card hits (a matching rank on the flop)" at 83.9%, the worst "and nothing above K" at 49.0%.

The 61.5% 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 61.46% (a gap of 0.04 points). Each equity is taken with the flop out and the turn and river still to come.