Q4s

Q4s (queen-four suited) wins 51.8% of the time against a single random opponent, which places it 77th out of the 169 starting hands — the top 45.6% of the range. At a six-handed table (five opponents) its equity falls to 17.6% and its rank moves to 71; nine-handed (eight opponents) it holds 12.5% for rank 67. A suited hand — the flush adds a few points of raw equity.

Its suited/offsuit twin Q4o runs at 49.1% (rank 95), a gap of 2.7 points. Sharing a suit is worth exactly those 2.7 points here — nothing about the ranks changes. The hand directly above it in the ranking is Q7o at 51.9%, and directly below is J8o at 51.6%, so three hands are packed into a band of 0.3 points.

Played heads-up against each of the other 168 hands, Q4s is a favourite against 95 of them and an underdog against 73. Its best matchup is J4o at 75.5% and its worst is QQ at 11.9% — a spread of 63.6 points, which is why calling Q4s simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being 22 at 49.4%.

Q4s dominates 8 hands that share one of its ranks, pushing hardest against J4o at 75.5%. It is dominated by 8 hands in return, the worst of them AQs, which leaves Q4s with only 27.1%. 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 suited hands it comes 37 of 78. The strongest hand in that group, AKs, is 15.4 points away, and the weakest, 32s, sits 15.9 points below. Measured against the average equity of all 169 hands, 51%, Q4s lands +0.8 points from the middle of the pack, and 76 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 51.8% against one opponent, 34.2% against two, 20.5% against four and 12.5% against eight. That last figure is 113% of an even nine-way share (11.1%). The Chen formula scores this hand at 4 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 Q4s reads as 51.8% 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.

Q4s 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) 13.5%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.0000% of the time (zero flops — the two cards are too far apart), gives an eight-out draw 1.63% and a four-out gutshot 5.88%. By the river a straight using a hole card completes 2.89% 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, Q4s flops a pair or better or a strong draw (a flush draw or an eight-out straight draw) 43.9% of the time — rank 51 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, Q4s goes from 51.9% before the flop up to 70.7% when either card pairs, and down to 42.8% 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 45.3%; missing with nothing above Q leaves 40.7%.

By board shape: rainbow 51.1%, two-tone 52.5%, monotone 51.1%. Two of your suit (a flush draw) gives 63.4% (10.9% of flops), and three of your suit (a made flush) 95.8% (0.842%). A paired board gives 53.2%, and a connected board (three ranks within five) 50.4%. The best row in the table is "Three of your suit (made flush)" at 95.8%, the worst "and nothing above Q" at 40.7%.

The 51.8% 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 51.86% (a gap of 0.06 points). Each equity is taken with the flop out and the turn and river still to come.