42s
A suited hand — the flush adds a few points of raw equity.
- Heads-up (1 opponent)
- 36.9% · #158
- 6-handed (5 opponents)
- 13.5% · #130
- 9-handed (8 opponents)
- 10.3% · #111
- Chen score
- 4
- Combos
- 4 / 1,326
- Dealt frequency
- 0.3%
- Favourite against
- 3 of 168 hands
42s (four-deuce suited) wins 36.9% of the time against a single random opponent, which places it 158th out of the 169 starting hands — the top 93.5% of the range. At a six-handed table (five opponents) its equity falls to 13.5% and its rank moves to 130; nine-handed (eight opponents) it holds 10.3% for rank 111. A suited hand — the flush adds a few points of raw equity.
Its suited/offsuit twin 42o runs at 33.3% (rank 168), a gap of 3.6 points. Sharing a suit is worth exactly those 3.6 points here — nothing about the ranks changes. The hand directly above it in the ranking is 83o at 37.3%, and directly below is 82o at 36.8%, so three hands are packed into a band of 0.5 points.
Played heads-up against each of the other 168 hands, 42s is a favourite against 3 of them and an underdog against 165. Its best matchup is 32o at 55.7% and its worst is 44 at 15.6% — a spread of 40.1 points, which is why calling 42s simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being 43o at 49.3%.
It is dominated by 8 hands in return, the worst of them A4s, which leaves 42s with only 27.6%. 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 77 of 78. The strongest hand in that group, AKs, is 30.3 points away, and the weakest, 32s, sits 1 points below. Measured against the average equity of all 169 hands, 51%, 42s lands -14.1 points from the middle of the pack, and 157 hands in the full ranking are still ahead of it.
Adding players costs equity steadily: 36.9% against one opponent, 24.7% against two, 15.6% against four and 10.3% against eight. That last figure is 93% 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 42s reads as 36.9% 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.
Equity by opponent count
From 36.9% against one opponent down to 10.3% against eight. The x-axis is the number of opponents.
How often 42s hits the flop
Exact counts over all 19,600 flops and 2,118,760 five-card boards from the 50 cards left once your two are out — no simulation.
42s 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) 3.56%. By the river it has made a pair or better 48.7% of the time.
For straights, the flop completes one 0.653% of the time (128 flops), gives an eight-out draw 3.67% and a four-out gutshot 12.7%. By the river a straight using a hole card completes 5.20% 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, 42s flops a pair or better or a strong draw (a flush draw or an eight-out straight draw) 45.8% of the time — rank 27 of the 156 unpaired hands (tied with 1 other). The highest is JTs, T9s, 98s and 4 others at 50.6% and the lowest AKo, A2o at 32.8%.
| Outcome | Probability | Count / total | Frequency | Odds against |
|---|---|---|---|---|
| Flop a pair or better (either card hits) | 32.4% | 6,356 / 19,600 | 1 in 3.1 | 2.1 to 1 |
| top pair or better (highest card on board, or two pair and up) | 3.56% | 698 / 19,600 | 1 in 28.1 | 27.1 to 1 |
| two pair (both cards hit) | 2.02% | 396 / 19,600 | 1 in 49.5 | 48.5 to 1 |
| trips (one card hits twice) | 1.35% | 264 / 19,600 | 1 in 74.2 | 73.2 to 1 |
| Flop a made straight | 0.653% | 128 / 19,600 | 1 in 153 | 152 to 1 |
| Flop an eight-out straight draw | 3.67% | 720 / 19,600 | 1 in 27.2 | 26.2 to 1 |
| Flop a four-out gutshot | 12.7% | 2,496 / 19,600 | 1 in 7.9 | 6.9 to 1 |
| Flop a made flush (three of your suit) | 0.842% | 165 / 19,600 | 1 in 119 | 118 to 1 |
| Flop a flush draw (two of your suit) | 10.9% | 2,145 / 19,600 | 1 in 9.1 | 8.1 to 1 |
| Pair or better, or a strong draw (flush draw or eight-out straight draw) or better | 45.8% | 8,972 / 19,600 | 1 in 2.2 | 1.2 to 1 |
| Pair or better by the river | 48.7% | 1,032,752 / 2,118,760 | 1 in 2.1 | 1.1 to 1 |
| Straight by the river (using a hole card) | 5.20% | 110,176 / 2,118,760 | 1 in 19.2 | 18.2 to 1 |
| Flush by the river (both hole cards) | 6.40% | 135,597 / 2,118,760 | 1 in 15.6 | 14.6 to 1 |
How the flop moves 42s's equity
Equity against one random hand with the flop out and the turn and river to come. Exact counts over every deal of the opponent's two cards and the board — no simulation.
Against one random hand, 42s goes from 36.8% before the flop up to 59.1% when either card pairs, and down to 26.2% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Missing with a card above 4 on board leaves 26.2%; missing with nothing above 4 leaves 28.9%.
By board shape: rainbow 35.1%, two-tone 37.8%, monotone 39.5%. Two of your suit (a flush draw) gives 50.9% (10.9% of flops), and three of your suit (a made flush) 88.1% (0.842%). A paired board gives 35.3%, and a connected board (three ranks within five) 35.4%. The best row in the table is "Three of your suit (made flush)" at 88.1%, the worst "and at least one card above 4" at 26.2%.
The 36.9% 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 36.83% (a gap of 0.07 points). Each equity is taken with the flop out and the turn and river still to come.
| Flop | How often | Flops (of 19,600) | 42s equity | vs before the flop |
|---|---|---|---|---|
| Before the flop (average of every flop) | 100.0% | 19,600 | 36.8% | — |
| Either card hits (a matching rank on the flop) | 32.4% | 6,356 | 59.1% | +22.2pt |
| Neither card hits | 67.6% | 13,244 | 26.2% | −10.7pt |
| and nothing above 4 | 0.0204% | 4 | 28.9% | −7.9pt |
| and at least one card above 4 | 67.6% | 13,240 | 26.2% | −10.7pt |
| Rainbow (three different suits) | 39.7% | 7,774 | 35.1% | −1.8pt |
| Two-tone (two cards share a suit) | 55.1% | 10,803 | 37.8% | +1.0pt |
| Monotone (all three one suit) | 5.22% | 1,023 | 39.5% | +2.7pt |
| Three of your suit (made flush) | 0.842% | 165 | 88.1% | +51.2pt |
| Exactly two of your suit (flush draw) | 10.9% | 2,145 | 50.9% | +14.1pt |
| Paired board (two or more of a rank) | 17.2% | 3,364 | 35.3% | −1.6pt |
| Connected board (three ranks within five, A can play low) | 19.0% | 3,728 | 35.4% | −1.5pt |
Against all 168 other hands
200,000 simulated showdowns per pairing. Opponent names link to that hand's page; the shape column links to the matchup page where one exists.
| Opponent hand | Opp. rank | 42s equity | vs 50% | Shape |
|---|---|---|---|---|
| AA | 1 | 17.4% | -32.6 | PAIR VS CARDS |
| KK | 2 | 18.8% | -31.2 | PAIR VS CARDS |
| 3 | 18.8% | -31.2 | PAIR VS CARDS | |
| JJ | 4 | 18.7% | -31.3 | PAIR VS CARDS |
| TT | 5 | 18.8% | -31.2 | PAIR VS CARDS |
| 99 | 6 | 18.5% | -31.5 | PAIR VS CARDS |
| 88 | 7 | 18.7% | -31.3 | PAIR VS CARDS |
| AKs | 8 | 36.0% | -14.0 | HIGH CARD |
| 77 | 9 | 18.7% | -31.3 | PAIR VS CARDS |
| AQs | 10 | 35.7% | -14.3 | HIGH CARD |
| AJs | 11 | 35.5% | -14.5 | HIGH CARD |
| AKo | 12 | 38.1% | -11.9 | HIGH CARD |
| ATs | 13 | 35.6% | -14.4 | HIGH CARD |
| AQo | 14 | 38.0% | -12.0 | HIGH CARD |
| AJo | 15 | 38.1% | -11.9 | HIGH CARD |
| KQs | 16 | 35.6% | -14.4 | HIGH CARD |
| 66 | 17 | 17.9% | -32.1 | PAIR VS CARDS |
| A9s | 18 | 35.7% | -14.3 | HIGH CARD |
| ATo | 19 | 37.9% | -12.1 | HIGH CARD |
| KJs | 20 | 35.3% | -14.7 | HIGH CARD |
| A8s | 21 | 35.8% | -14.2 | HIGH CARD |
| KTs | 22 | 35.2% | -14.8 | HIGH CARD |
| KQo | 23 | 37.9% | -12.1 | HIGH CARD |
| A7s | 24 | 35.5% | -14.5 | HIGH CARD |
| A9o | 25 | 38.3% | -11.7 | HIGH CARD |
| KJo | 26 | 37.8% | -12.2 | HIGH CARD |
| 55 | 27 | 16.6% | -33.4 | PAIR VS CARDS |
| QJs | 28 | 35.1% | -14.9 | HIGH CARD |
| A6s | 29 | 35.7% | -14.3 | HIGH CARD |
| K9s | 30 | 35.7% | -14.3 | HIGH CARD |
| A8o | 31 | 38.3% | -11.7 | HIGH CARD |
| A5s | 32 | 34.2% | -15.8 | HIGH CARD |
| KTo | 33 | 37.8% | -12.2 | HIGH CARD |
| QTs | 34 | 35.1% | -14.9 | HIGH CARD |
| A4s | 35 | 27.6% | -22.4 | DOMINATED |
| A7o | 36 | 37.9% | -12.1 | HIGH CARD |
| K8s | 37 | 36.1% | -13.9 | HIGH CARD |
| A3s | 38 | 37.6% | -12.4 | HIGH CARD |
| QJo | 39 | 37.6% | -12.4 | HIGH CARD |
| K9o | 40 | 38.1% | -11.9 | HIGH CARD |
| Q9s | 41 | 35.3% | -14.7 | HIGH CARD |
| A5o | 42 | 36.5% | -13.5 | HIGH CARD |
| A2s | 43 | 28.9% | -21.1 | DOMINATED |
| K7s | 44 | 35.7% | -14.3 | HIGH CARD |
| A6o | 45 | 38.1% | -11.9 | HIGH CARD |
| JTs | 46 | 34.7% | -15.3 | HIGH CARD |
| QTo | 47 | 37.5% | -12.5 | HIGH CARD |
| 44 | 48 | 15.6% | -34.4 | PAIR VS CARDS |
| K6s | 49 | 35.7% | -14.3 | HIGH CARD |
| A4o | 50 | 28.6% | -21.4 | DOMINATED |
| Q8s | 51 | 35.7% | -14.3 | HIGH CARD |
| K8o | 52 | 38.4% | -11.6 | HIGH CARD |
| A3o | 53 | 40.4% | -9.6 | HIGH CARD |
| K5s | 54 | 35.4% | -14.6 | HIGH CARD |
| J9s | 55 | 34.8% | -15.2 | HIGH CARD |
| Q9o | 56 | 37.7% | -12.3 | HIGH CARD |
| JTo | 57 | 37.2% | -12.8 | HIGH CARD |
| K7o | 58 | 38.2% | -11.8 | HIGH CARD |
| K4s | 59 | 29.7% | -20.3 | DOMINATED |
| A2o | 60 | 29.8% | -20.2 | DOMINATED |
| Q7s | 61 | 35.8% | -14.2 | HIGH CARD |
| K6o | 62 | 38.0% | -12.0 | HIGH CARD |
| K3s | 63 | 38.9% | -11.1 | HIGH CARD |
| J8s | 64 | 35.4% | -14.6 | HIGH CARD |
| T9s | 65 | 34.8% | -15.2 | HIGH CARD |
| Q8o | 66 | 38.1% | -11.9 | HIGH CARD |
| 33 | 67 | 33.4% | -16.6 | PAIR VS CARDS |
| Q6s | 68 | 35.7% | -14.3 | HIGH CARD |
| K2s | 69 | 30.8% | -19.2 | DOMINATED |
| J9o | 70 | 37.4% | -12.6 | HIGH CARD |
| K5o | 71 | 37.9% | -12.1 | HIGH CARD |
| Q5s | 72 | 35.5% | -14.5 | HIGH CARD |
| J7s | 73 | 35.6% | -14.4 | HIGH CARD |
| T8s | 74 | 35.3% | -14.7 | HIGH CARD |
| K4o | 75 | 30.6% | -19.4 | DOMINATED |
| Q7o | 76 | 38.3% | -11.7 | HIGH CARD |
| Q4s | 77 | 30.2% | -19.8 | DOMINATED |
| J8o | 78 | 37.8% | -12.2 | HIGH CARD |
| T9o | 79 | 37.0% | -13.0 | HIGH CARD |
| K3o | 80 | 41.6% | -8.4 | HIGH CARD |
| Q3s | 81 | 39.1% | -10.9 | HIGH CARD |
| Q6o | 82 | 38.0% | -12.0 | HIGH CARD |
| 98s | 83 | 34.8% | -15.2 | HIGH CARD |
| T7s | 84 | 35.6% | -14.4 | HIGH CARD |
| J6s | 85 | 36.0% | -14.0 | HIGH CARD |
| K2o | 86 | 31.9% | -18.1 | DOMINATED |
| Q5o | 87 | 37.9% | -12.1 | HIGH CARD |
| 22 | 88 | 37.8% | -12.2 | PAIR VS CARDS |
| Q2s | 89 | 31.1% | -18.9 | DOMINATED |
| J5s | 90 | 35.7% | -14.3 | HIGH CARD |
| T8o | 91 | 37.8% | -12.2 | HIGH CARD |
| J7o | 92 | 38.0% | -12.0 | HIGH CARD |
| J4s | 93 | 30.6% | -19.4 | DOMINATED |
| 97s | 94 | 35.2% | -14.8 | HIGH CARD |
| Q4o | 95 | 31.4% | -18.6 | DOMINATED |
| T6s | 96 | 35.6% | -14.4 | HIGH CARD |
| J3s | 97 | 39.2% | -10.8 | HIGH CARD |
| 98o | 98 | 37.3% | -12.7 | HIGH CARD |
| T7o | 99 | 37.9% | -12.1 | HIGH CARD |
| Q3o | 100 | 41.4% | -8.6 | HIGH CARD |
| 87s | 101 | 35.2% | -14.8 | HIGH CARD |
| J6o | 102 | 38.3% | -11.7 | HIGH CARD |
| J2s | 103 | 31.9% | -18.1 | DOMINATED |
| 96s | 104 | 35.7% | -14.3 | HIGH CARD |
| Q2o | 105 | 32.6% | -17.4 | DOMINATED |
| J5o | 106 | 38.1% | -11.9 | HIGH CARD |
| T5s | 107 | 35.9% | -14.1 | HIGH CARD |
| T4s | 108 | 31.5% | -18.5 | DOMINATED |
| 97o | 109 | 37.4% | -12.6 | HIGH CARD |
| 86s | 110 | 36.0% | -14.0 | HIGH CARD |
| J4o | 111 | 31.8% | -18.2 | DOMINATED |
| T6o | 112 | 38.3% | -11.7 | HIGH CARD |
| T3s | 113 | 39.2% | -10.8 | HIGH CARD |
| 95s | 114 | 36.1% | -13.9 | HIGH CARD |
| 76s | 115 | 35.9% | -14.1 | HIGH CARD |
| J3o | 116 | 41.8% | -8.2 | HIGH CARD |
| 87o | 117 | 37.5% | -12.5 | HIGH CARD |
| T2s | 118 | 32.5% | -17.5 | DOMINATED |
| 85s | 119 | 36.1% | -13.9 | HIGH CARD |
| 96o | 120 | 38.2% | -11.8 | HIGH CARD |
| T5o | 121 | 38.4% | -11.6 | HIGH CARD |
| J2o | 122 | 32.7% | -17.3 | DOMINATED |
| 94s | 123 | 32.7% | -17.3 | DOMINATED |
| 75s | 124 | 36.5% | -13.5 | HIGH CARD |
| T4o | 125 | 32.8% | -17.2 | DOMINATED |
| 93s | 126 | 39.7% | -10.3 | HIGH CARD |
| 86o | 127 | 38.4% | -11.6 | HIGH CARD |
| 65s | 128 | 37.3% | -12.7 | HIGH CARD |
| 95o | 129 | 38.3% | -11.7 | HIGH CARD |
| 84s | 130 | 34.0% | -16.0 | DOMINATED |
| T3o | 131 | 41.9% | -8.1 | HIGH CARD |
| 92s | 132 | 33.5% | -16.5 | DOMINATED |
| 76o | 133 | 38.3% | -11.7 | HIGH CARD |
| 74s | 134 | 34.6% | -15.4 | DOMINATED |
| T2o | 135 | 33.7% | -16.3 | DOMINATED |
| 64s | 136 | 37.9% | -12.1 | DOMINATED |
| 85o | 137 | 38.6% | -11.4 | HIGH CARD |
| 54s | 138 | 40.2% | -9.8 | HIGH CARD |
| 83s | 139 | 40.6% | -9.4 | HIGH CARD |
| 94o | 140 | 33.8% | -16.2 | DOMINATED |
| 75o | 141 | 38.8% | -11.2 | HIGH CARD |
| 82s | 142 | 35.0% | -15.0 | DOMINATED |
| 73s | 143 | 41.1% | -8.9 | HIGH CARD |
| 65o | 144 | 40.0% | -10.0 | HIGH CARD |
| 93o | 145 | 42.1% | -7.9 | HIGH CARD |
| 53s | 146 | 44.2% | -5.8 | HIGH CARD |
| 63s | 147 | 42.2% | -7.8 | HIGH CARD |
| 84o | 148 | 35.3% | -14.7 | DOMINATED |
| 92o | 149 | 35.0% | -15.0 | DOMINATED |
| 43s | 150 | 46.7% | -3.3 | HIGH CARD |
| 74o | 151 | 36.1% | -13.9 | DOMINATED |
| 54o | 152 | 41.9% | -8.1 | HIGH CARD |
| 72s | 153 | 37.2% | -12.8 | DOMINATED |
| 52s | 154 | 41.6% | -8.4 | HIGH CARD |
| 64o | 155 | 39.5% | -10.5 | DOMINATED |
| 62s | 156 | 39.2% | -10.8 | DOMINATED |
| 83o | 157 | 43.4% | -6.6 | HIGH CARD |
| 82o | 159 | 36.5% | -13.5 | DOMINATED |
| 73o | 160 | 43.7% | -6.3 | HIGH CARD |
| 53o | 161 | 47.4% | -2.6 | HIGH CARD |
| 63o | 162 | 44.8% | -5.2 | HIGH CARD |
| 32s | 163 | 52.8% | +2.8 | HIGH CARD |
| 43o | 164 | 49.3% | -0.7 | COINFLIP |
| 72o | 165 | 38.9% | -11.1 | DOMINATED |
| 52o | 166 | 43.4% | -6.6 | HIGH CARD |
| 62o | 167 | 40.8% | -9.2 | HIGH CARD |
| 42o | 168 | 52.5% | +2.5 | HIGH CARD |
| 32o | 169 | 55.7% | +5.7 | HIGH CARD |
Showing 168 of 168 rows
Related
FAQ
What is the equity of 42s?
36.9% against one random opponent, which ranks it 158 of 169. Six-handed (five opponents) it is 13.5%, and nine-handed (eight opponents) 10.3%.
How much better is 42s than 42o?
42s is worth 36.9% and 42o 33.3%, a difference of 3.6 points — rank 158 versus rank 168.
How many of the 168 other hands does 42s beat?
It is a heads-up favourite over 3 hands and an underdog against 165. 1 opponents sit within one point of a 50/50 coinflip.
How often does 42s hit the flop?
A pair or better 32.4%, top pair or better 3.56%. A made straight 0.653% and an eight-out straight draw 3.67%, a flush draw or better 11.8%. One of those happens 45.8% of the time (all 19,600 flops counted).
What is 42s worth when it misses the flop?
Against one random hand, 26.2% on a flop where neither card pairs (36.8% before the flop, 59.1% when it connects). Exact counts over every deal of the opponent's cards and the board.
431 words / 41 distinct figures — Method
