QTo

QTo (queen-ten offsuit) wins 57.1% of the time against a single random opponent, which places it 47th out of the 169 starting hands — the top 27.8% of the range. At a six-handed table (five opponents) its equity falls to 21.5% and its rank moves to 38; nine-handed (eight opponents) it holds 14.3% for rank 46. Two unconnected offsuit cards — the class of hand most often overvalued.

Its suited/offsuit twin QTs runs at 59.5% (rank 34), a gap of 2.4 points. Losing the shared suit costs 2.4 points of raw equity. The hand directly above it in the ranking is JTs at 57.5%, and directly below is 44 at 57.0%, so three hands are packed into a band of 0.5 points.

Played heads-up against each of the other 168 hands, QTo is a favourite against 107 of them and an underdog against 61. Its best matchup is T2o at 76.7% and its worst is QQ at 11.2% — a spread of 65.5 points, which is why calling QTo simply "strong" or "weak" says very little. 4 opponents land inside one point of a coinflip, the closest being 33 at 50.0%.

QTo dominates 8 hands that share one of its ranks, pushing hardest against T2o at 76.7%. It is dominated by 8 hands in return, the worst of them KTs, which leaves QTo with only 25.4%. 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 offsuit hands it comes 15 of 78. The strongest hand in that group, AKo, is 8.3 points away, and the weakest, 32o, sits 24.8 points below. Measured against the average equity of all 169 hands, 51%, QTo lands +6.1 points from the middle of the pack, and 46 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 57.1% against one opponent, 40.4% against two, 25.4% against four and 14.3% against eight. That last figure is 129% 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 QTo reads as 57.1% 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.

QTo 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) 20.7%. 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 7.02% and a four-out gutshot 14.8%. By the river a straight using a hole card completes 7.36% of the time.

Put together, QTo flops a pair or better or a strong draw (an eight-out straight draw) 39.4% of the time — rank 90 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, QTo goes from 57.3% before the flop up to 79.3% when either card pairs, and down to 46.7% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Missing with a card above Q on board leaves 50.5%; missing with nothing above Q leaves 43.5%.

By board shape: rainbow 57.6%, two-tone 57.1%, monotone 56.8%. A monotone flop in one of your suits gives 66.1%. A paired board gives 56.1%, and a connected board (three ranks within five) 54.0%. The best row in the table is "Either card hits (a matching rank on the flop)" at 79.3%, the worst "and nothing above Q" at 43.5%.

The 57.1% 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 57.29% (a gap of 0.19 points). Each equity is taken with the flop out and the turn and river still to come.