ATo

ATo (ace-ten offsuit) wins 62.6% of the time against a single random opponent, which places it 19th out of the 169 starting hands — the top 11.2% of the range. At a six-handed table (five opponents) its equity falls to 23.0% and its rank moves to 26; nine-handed (eight opponents) it holds 15.2% for rank 35. An ace-high hand — watch out for kicker trouble and domination.

Its suited/offsuit twin ATs runs at 64.6% (rank 13), a gap of 2 points. Losing the shared suit costs 2 points of raw equity. The hand directly above it in the ranking is A9s at 62.8%, and directly below is KJs at 62.5%, so three hands are packed into a band of 0.3 points.

Played heads-up against each of the other 168 hands, ATo is a favourite against 148 of them and an underdog against 20. Its best matchup is T2o at 77.1% and its worst is AA at 8.2% — a spread of 68.9 points, which is why calling ATo simply "strong" or "weak" says very little.

ATo dominates 8 hands that share one of its ranks, pushing hardest against T2o at 77.1%. It is dominated by 6 hands in return, the worst of them AKs, which leaves ATo with only 25.2%. 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 4 of 78. The strongest hand in that group, AKo, is 2.8 points away, and the weakest, 32o, sits 30.3 points below. Measured against the average equity of all 169 hands, 51%, ATo lands +11.6 points from the middle of the pack, and 18 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 62.6% against one opponent, 44.4% against two, 27.8% against four and 15.2% against eight. That last figure is 137% of an even nine-way share (11.1%). The Chen formula scores this hand at 6 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 ATo reads as 62.6% 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.

ATo 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) 25.5%. 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 1.31% and a four-out gutshot 12.7%. By the river a straight using a hole card completes 4.29% of the time.

Put together, ATo flops a pair or better or a strong draw (an eight-out straight draw) 34.1% of the time — rank 129 of the 156 unpaired hands (tied with 13 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, ATo goes from 62.7% before the flop up to 81.6% when either card pairs, and down to 53.7% 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 63.4%, two-tone 62.4%, monotone 60.9%. A monotone flop in one of your suits gives 70.6%. A paired board gives 64.9%, and a connected board (three ranks within five) 60.1%. The best row in the table is "Either card hits (a matching rank on the flop)" at 81.6%, the worst "Neither card hits" at 53.7%.

The 62.6% 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 62.72% (a gap of 0.12 points). Each equity is taken with the flop out and the turn and river still to come.