AQs

AQs (ace-queen suited) wins 66.2% of the time against a single random opponent, which places it 10th out of the 169 starting hands — the top 5.9% of the range. At a six-handed table (five opponents) its equity falls to 29.3% and its rank moves to 7; nine-handed (eight opponents) it holds 21.1% for rank 6. A suited ace — nut-flush potential on top of top-pair equity.

Its suited/offsuit twin AQo runs at 64.4% (rank 14), a gap of 1.8 points. Sharing a suit is worth exactly those 1.8 points here — nothing about the ranks changes. The hand directly above it in the ranking is 77 at 66.3%, and directly below is AJs at 65.4%, so three hands are packed into a band of 0.9 points.

Played heads-up against each of the other 168 hands, AQs is a favourite against 154 of them and an underdog against 14. Its best matchup is Q2o at 78.3% and its worst is AA at 12.4% — a spread of 65.9 points, which is why calling AQs simply "strong" or "weak" says very little. 3 opponents land inside one point of a coinflip, the closest being 22 at 50.3%.

AQs dominates 8 hands that share one of its ranks, pushing hardest against Q2o at 78.3%. It is dominated by 2 hands in return, the worst of them AKs, which leaves AQs with only 28.9%. 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 suited hands it comes 2 of 78. The strongest hand in that group, AKs, is 1 points away, and the weakest, 32s, sits 30.3 points below. Measured against the average equity of all 169 hands, 51%, AQs lands +15.2 points from the middle of the pack, and 9 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 66.2% against one opponent, 49.7% against two, 34.0% against four and 21.1% against eight. That last figure is 190% of an even nine-way share (11.1%). The Chen formula scores this hand at 11 points, and it arrives 0.3% of the time (4 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 AQs reads as 66.2% 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.

AQs 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) 29.9%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.327% of the time (64 flops), gives an eight-out draw 0.653% and a four-out gutshot 11.3%. By the river a straight using a hole card completes 3.49% of the time. For flushes, two or more of its suit land on the flop 11.8% of the time (a made flush 0.842%), and a flush is complete by the river 6.40%.

Put together, AQs flops a pair or better or a strong draw (a flush draw or an eight-out straight draw) 43.4% of the time — rank 72 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, AQs goes from 66.2% before the flop up to 84.7% when either card pairs, and down to 57.3% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Nothing ranks above A, so a miss never brings an overcard.

By board shape: rainbow 66.3%, two-tone 66.6%, monotone 61.9%. Two of your suit (a flush draw) gives 74.4% (10.9% of flops), and three of your suit (a made flush) 98.1% (0.842%). A paired board gives 68.1%, and a connected board (three ranks within five) 61.0%. The best row in the table is "Three of your suit (made flush)" at 98.1%, the worst "Neither card hits" at 57.3%.

The 66.2% 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 66.21% (a gap of 0.01 points). Each equity is taken with the flop out and the turn and river still to come.