What is every hand worth on an A 2 3 rainbow flop?
On an A 2 3 rainbow flop, 54 flops the wheel and tops the table, aces with wheel draws and the three sets are big favorites, and middling suited connectors become some of the worst hands in the deck.
A 2 3 rainbow
Low and wheel boardsEquity vs one random hand
Notable hands on A 2 3 rainbow
| Hand | Flops | Equity | Why it matters |
|---|---|---|---|
| 54o | straight | 95.1% | The flopped wheel, no suits required. It beats top set and everything else. |
| AA | set | 93.7% | Top set, and somehow still second place on this board. |
| 33 | set | 92.7% | Middle set from a hand that was only ever hoping for exactly this. |
| 22 | set | 92.1% | Bottom set. The smallest pair in poker, cashing its lottery ticket. |
| A2s | two pair | 88.3% | Top and bottom pair with wheel cards everywhere around it. |
| A5s | pair | 84.9% | Top pair plus a gutshot to the wheel, the most graceful hand on the flop. |
| AKo | pair | 84.0% | Top pair, best kicker, no straight nonsense. Simple and strong. |
| KK | nothing yet | 75.3% | No longer an overpair, and every random ace has it beaten already. |
| KQo | nothing yet | 49.7% | A premium-looking hand reduced to a true coin flip. |
| 87s | nothing yet | 24.8% | The shock of the table: a pretty suited connector performing worse than outright junk. |
A 2 3 rainbow is the wheel board, and it plays by its own rules. The ace on top makes it feel like an ace-high texture, but the two babies underneath open a straight that only the smallest cards can complete. There are no flush draws with three suits out, so the whole flop is a quiet tug-of-war between aces, tiny pairs, and the wheel.
The wheel is already here for 54, which flops five high through the ace and beats everything, top set of aces included. Aces, treys, and deuces made their sets. A2 and A3 flopped two pair, and the really elegant holdings are A4 and A5: top pair with a gutshot to the wheel, a combination that plays beautifully on every runout. Even a plain AK holds top pair with the best kicker and no complications.
The strangest result on this flop is who ends up at the bottom. It is not the usual offsuit junk. It is the handsome middle of the deck: hands like 87 and 98, suited or not, have no pair, no live draw, and overcards that outrank nothing important, and they perform worse against a random hand than genuine trash that at least contains a deuce or a trey. Pocket kings arrive demoted too: no longer an overpair, with every random ace already past them.
The mistake pattern is symmetrical. Players overvalue big broadway cards that missed, KQ is a true coin flip here, and undervalue the little hands that hit, since a bare deuce with a live kicker is quietly fine against a random hand. And when a four lands on the turn and the player who limped small cards wakes up, believe the wheel more often than you want to.
All 169 hands on A 2 3 rainbow
Equity of every starting hand class against one random opponent hand on A 2 3 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.
Pairs
| Hand | Flops | Equity |
|---|---|---|
| AA | set | 93.7% |
| 33 | set | 92.7% |
| 22 | set | 92.1% |
| KK | 75.3% | |
| 73.5% | ||
| JJ | 71.6% | |
| TT | 69.6% | |
| 55 | 68.1% | |
| 99 | 67.9% | |
| 44 | 67.6% | |
| 88 | 65.7% | |
| 77 | 63.9% | |
| 66 | 62.9% |
Suited
| Hand | Flops | Equity |
|---|---|---|
| 54s | straight | 95.0% |
| A3s | two pair | 89.4% |
| A2s | two pair | 88.3% |
| A5s | pair | 84.9% |
| AKs | pair | 84.6% |
| A4s | pair | 84.4% |
| AQs | pair | 84.0% |
| AJs | pair | 83.6% |
| ATs | pair | 83.0% |
| 32s | two pair | 82.5% |
| A9s | pair | 82.3% |
| A8s | pair | 81.9% |
| A6s | pair | 81.8% |
| A7s | pair | 81.4% |
| 53s | pair | 66.9% |
| 43s | pair | 66.9% |
| K3s | pair | 63.1% |
| Q3s | pair | 62.5% |
| J3s | pair | 62.1% |
| T3s | pair | 61.5% |
| 42s | pair | 61.2% |
| 52s | pair | 61.1% |
| 93s | pair | 60.9% |
| 63s | pair | 60.7% |
| 83s | pair | 60.5% |
| 73s | pair | 60.0% |
| K2s | pair | 56.8% |
| Q2s | pair | 56.2% |
| J2s | pair | 55.6% |
| T2s | pair | 55.2% |
| 92s | pair | 54.5% |
| 82s | pair | 54.1% |
| 62s | pair | 53.9% |
| K5s | 53.7% | |
| 72s | pair | 53.7% |
| K4s | 53.2% | |
| KQs | 51.3% | |
| KJs | 50.4% | |
| KTs | 49.5% | |
| Q5s | 48.8% | |
| Q4s | 48.3% | |
| K9s | 47.6% | |
| K8s | 46.9% | |
| K7s | 46.1% | |
| K6s | 46.0% | |
| QJs | 44.7% | |
| J5s | 44.5% | |
| J4s | 44.2% | |
| QTs | 43.8% | |
| Q9s | 42.0% | |
| Q8s | 41.2% | |
| T5s | 40.6% | |
| Q7s | 40.4% | |
| Q6s | 40.4% | |
| T4s | 40.0% | |
| JTs | 38.7% | |
| 95s | 37.5% | |
| J9s | 37.2% | |
| 94s | 36.8% | |
| J8s | 36.3% | |
| J7s | 35.4% | |
| J6s | 35.3% | |
| 85s | 34.7% | |
| 84s | 34.2% | |
| T9s | 32.9% | |
| 75s | 32.7% | |
| 65s | 32.4% | |
| T8s | 31.9% | |
| 74s | 31.9% | |
| 64s | 31.7% | |
| T7s | 31.1% | |
| T6s | 31.1% | |
| 98s | 28.5% | |
| 97s | 27.7% | |
| 96s | 27.7% | |
| 87s | 24.8% | |
| 86s | 24.7% | |
| 76s | 22.6% |
Offsuit
| Hand | Flops | Equity |
|---|---|---|
| 54o | straight | 95.1% |
| A3o | two pair | 89.1% |
| A2o | two pair | 88.0% |
| A5o | pair | 84.6% |
| A4o | pair | 84.1% |
| AKo | pair | 84.0% |
| AQo | pair | 83.4% |
| AJo | pair | 82.8% |
| 32o | two pair | 82.4% |
| ATo | pair | 82.2% |
| A9o | pair | 81.6% |
| A8o | pair | 81.3% |
| A6o | pair | 81.0% |
| A7o | pair | 80.8% |
| 53o | pair | 66.0% |
| 43o | pair | 65.9% |
| K3o | pair | 61.8% |
| Q3o | pair | 61.0% |
| J3o | pair | 60.7% |
| T3o | pair | 60.2% |
| 52o | pair | 60.0% |
| 42o | pair | 59.9% |
| 93o | pair | 59.8% |
| 83o | pair | 59.4% |
| 63o | pair | 59.3% |
| 73o | pair | 58.8% |
| K2o | pair | 55.3% |
| Q2o | pair | 54.6% |
| J2o | pair | 53.9% |
| T2o | pair | 53.7% |
| 92o | pair | 52.7% |
| 62o | pair | 52.5% |
| 82o | pair | 52.3% |
| K5o | 52.1% | |
| 72o | pair | 51.9% |
| K4o | 51.7% | |
| KQo | 49.7% | |
| KJo | 48.4% | |
| KTo | 47.6% | |
| Q5o | 47.1% | |
| Q4o | 46.5% | |
| K9o | 45.9% | |
| K8o | 44.8% | |
| K7o | 44.0% | |
| K6o | 44.0% | |
| QJo | 42.6% | |
| J5o | 42.5% | |
| J4o | 42.0% | |
| QTo | 41.8% | |
| Q9o | 39.9% | |
| Q8o | 39.1% | |
| T5o | 38.4% | |
| Q7o | 38.3% | |
| Q6o | 38.0% | |
| T4o | 37.9% | |
| JTo | 36.7% | |
| 95o | 35.0% | |
| J9o | 34.8% | |
| 94o | 34.7% | |
| J8o | 33.8% | |
| J6o | 32.9% | |
| J7o | 32.8% | |
| 85o | 32.4% | |
| 84o | 31.8% | |
| T9o | 30.5% | |
| 75o | 30.3% | |
| 65o | 30.0% | |
| 74o | 29.7% | |
| 64o | 29.4% | |
| T8o | 29.3% | |
| T7o | 28.6% | |
| T6o | 28.5% | |
| 98o | 25.9% | |
| 97o | 25.0% | |
| 96o | 25.0% | |
| 87o | 22.1% | |
| 86o | 22.0% | |
| 76o | 19.9% |
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