75o

75o (seven-five offsuit) wins 40.5% of the time against a single random opponent, which places it 141th out of the 169 starting hands — the top 83.4% of the range. At a six-handed table (five opponents) its equity falls to 13.1% and its rank moves to 137; nine-handed (eight opponents) it holds 8.5% for rank 135. Two unconnected offsuit cards — the class of hand most often overvalued.

Its suited/offsuit twin 75s runs at 43.7% (rank 124), a gap of 3.2 points. Losing the shared suit costs 3.2 points of raw equity. The hand directly above it in the ranking is 94o at 40.7%, and directly below is 82s at 40.3%, so three hands are packed into a band of 0.4 points.

Played heads-up against each of the other 168 hands, 75o is a favourite against 26 of them and an underdog against 142. Its best matchup is 52o at 68.2% and its worst is 77 at 12.2% — a spread of 56 points, which is why calling 75o simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being 22 at 49.6%.

75o dominates 8 hands that share one of its ranks, pushing hardest against 52o at 68.2%. It is dominated by 8 hands in return, the worst of them A7s, which leaves 75o with only 27.2%. 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 60 of 78. The strongest hand in that group, AKo, is 24.9 points away, and the weakest, 32o, sits 8.2 points below. Measured against the average equity of all 169 hands, 51%, 75o lands -10.5 points from the middle of the pack, and 140 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 40.5% against one opponent, 27.1% against two, 15.4% against four and 8.5% against eight. That last figure is 77% of an even nine-way share (11.1%). The Chen formula scores this hand at 3.5 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 75o reads as 40.5% 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.

75o 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) 6.32%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.980% of the time (192 flops), gives an eight-out draw 7.67% and a four-out gutshot 14.8%. By the river a straight using a hole card completes 7.76% of the time.

Put together, 75o flops a pair or better or a strong draw (an eight-out straight draw) 40.1% of the time — rank 86 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, 75o goes from 40.5% before the flop up to 65.1% when either card pairs, and down to 28.7% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Missing with a card above 7 on board leaves 28.2%; missing with nothing above 7 leaves 40.9%.

By board shape: rainbow 40.4%, two-tone 40.4%, monotone 42.5%. A monotone flop in one of your suits gives 50.5%. A paired board gives 37.5%, and a connected board (three ranks within five) 46.3%. The best row in the table is "Either card hits (a matching rank on the flop)" at 65.1%, the worst "and at least one card above 7" at 28.2%.

The 40.5% 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 40.51% (a gap of 0.01 points). Each equity is taken with the flop out and the turn and river still to come.