A3s

A3s (ace-three suited) wins 58.2% of the time against a single random opponent, which places it 38th out of the 169 starting hands — the top 22.5% of the range. At a six-handed table (five opponents) its equity falls to 21.1% and its rank moves to 40; nine-handed (eight opponents) it holds 15.4% for rank 32. A suited ace — nut-flush potential on top of top-pair equity.

Its suited/offsuit twin A3o runs at 55.9% (rank 53), a gap of 2.3 points. Sharing a suit is worth exactly those 2.3 points here — nothing about the ranks changes. The hand directly above it in the ranking is K8s at 58.3%, and directly below is QJo at 58.0%, so three hands are packed into a band of 0.3 points.

Played heads-up against each of the other 168 hands, A3s is a favourite against 135 of them and an underdog against 33. Its best matchup is K3o at 77.0% and its worst is AA at 12.5% — a spread of 64.5 points, which is why calling A3s simply "strong" or "weak" says very little. 2 opponents land inside one point of a coinflip, the closest being A4o at 49.7%.

A3s dominates 8 hands that share one of its ranks, pushing hardest against K3o at 77.0%. It is dominated by 8 hands in return, the worst of them AKs, which leaves A3s with only 29.4%. 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 18 of 78. The strongest hand in that group, AKs, is 9 points away, and the weakest, 32s, sits 22.3 points below. Measured against the average equity of all 169 hands, 51%, A3s lands +7.2 points from the middle of the pack, and 37 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 58.2% against one opponent, 39.8% against two, 24.6% against four and 15.4% against eight. That last figure is 139% of an even nine-way share (11.1%). The Chen formula scores this hand at 7 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 A3s reads as 58.2% 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.

A3s 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) 18.0%. 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, A3s 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, A3s goes from 58.2% before the flop up to 73.5% when either card pairs, and down to 50.9% 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 58.0%, two-tone 58.7%, monotone 55.5%. Two of your suit (a flush draw) gives 68.9% (10.9% of flops), and three of your suit (a made flush) 98.1% (0.842%). A paired board gives 62.4%, and a connected board (three ranks within five) 53.7%. The best row in the table is "Three of your suit (made flush)" at 98.1%, the worst "Neither card hits" at 50.9%.

The 58.2% 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 58.22% (a gap of 0.02 points). Each equity is taken with the flop out and the turn and river still to come.