84o

84o (eight-four offsuit) wins 39.4% of the time against a single random opponent, which places it 148th out of the 169 starting hands — the top 87.6% of the range. At a six-handed table (five opponents) its equity falls to 10.6% and its rank moves to 157; nine-handed (eight opponents) it holds 6.9% for rank 157. Two unconnected offsuit cards — the class of hand most often overvalued.

Its suited/offsuit twin 84s runs at 42.7% (rank 130), a gap of 3.3 points. Losing the shared suit costs 3.3 points of raw equity. The hand directly above it in the ranking is 63s at 39.5%, and directly below is 92o at 39.2%, so three hands are packed into a band of 0.3 points.

Played heads-up against each of the other 168 hands, 84o is a favourite against 34 of them and an underdog against 134. Its best matchup is 42o at 68.5% and its worst is 88 at 8.5% — a spread of 60 points, which is why calling 84o simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being 82s at 51.0%.

84o dominates 8 hands that share one of its ranks, pushing hardest against 42o at 68.5%. It is dominated by 8 hands in return, the worst of them A8s, which leaves 84o with only 24.1%. 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 63 of 78. The strongest hand in that group, AKo, is 26 points away, and the weakest, 32o, sits 7.1 points below. Measured against the average equity of all 169 hands, 51%, 84o lands -11.6 points from the middle of the pack, and 147 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 39.4% against one opponent, 24.8% against two, 13.2% against four and 6.9% against eight. That last figure is 62% of an even nine-way share (11.1%). The Chen formula scores this hand at 0 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 84o reads as 39.4% 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.

84o 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) 6.81%. 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 2.29% and a four-out gutshot 12.0%. By the river a straight using a hole card completes 4.64% of the time.

Put together, 84o flops a pair or better or a strong draw (an eight-out straight draw) 35.0% of the time — rank 111 of the 156 unpaired hands (tied with 4 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, 84o goes from 39.4% before the flop up to 64.4% when either card pairs, and down to 27.5% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Missing with a card above 8 on board leaves 26.8%; missing with nothing above 8 leaves 34.6%.

By board shape: rainbow 39.4%, two-tone 39.3%, monotone 41.5%. A monotone flop in one of your suits gives 49.6%. A paired board gives 37.7%, and a connected board (three ranks within five) 44.0%. The best row in the table is "Either card hits (a matching rank on the flop)" at 64.4%, the worst "and at least one card above 8" at 26.8%.

The 39.4% 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 39.45% (a gap of 0.05 points). Each equity is taken with the flop out and the turn and river still to come.