What is every hand worth on an A 7 2 rainbow flop?
On an A 7 2 rainbow flop, flopped sets and any pair of aces are big favorites over a random hand, while pocket kings and queens lose their overpair status and drop a clear tier.
A 7 2 rainbow
Dry rainbow boardsEquity vs one random hand
Notable hands on A 7 2 rainbow
| Hand | Flops | Equity | Why it matters |
|---|---|---|---|
| AA | set | 97.5% | Top set on a bone-dry board. Practically untouchable. |
| 77 | set | 96.7% | Middle set, the best hand that does not contain an ace. |
| 22 | set | 95.8% | Bottom set, flopped by the smallest pair in the deck. |
| AKo | pair | 89.0% | Top pair top kicker, dominating every weaker ace a random hand can show up with. |
| A2s | two pair | 92.7% | Top and bottom pair. A polite fold preflop in most spots, a powerhouse here. |
| KK | nothing yet | 79.7% | The classic cooler in reverse: no longer an overpair, and every ace outflops it. |
| 72o | two pair | 87.9% | Two pair yet again. Some boards are simply built from the trash pile. |
| 54s | nothing yet | 33.7% | A gutshot to the wheel, the sneakiest live draw this board allows. |
| KQo | nothing yet | 52.4% | Two broadway cards, zero connection to the board, and roughly a coin flip. |
| 65s | nothing yet | 24.0% | The suited connector that missed by a mile. Near the bottom of the entire table. |
An ace on a dry board changes everything above it and almost nothing below it. A 7 2 rainbow has no flush draws and no made straights, but the ace at the top demotes every other pocket pair in one stroke. Pocket kings walked into this flop as an overpair and walked out as second pair. That single demotion is the whole story of the texture.
The winners are aces in every form. Pocket aces have the top set. AK, AQ, and AJ have top pair with kickers that dominate the random aces they will run into. Even A2 offsuit, a fold in most seats, has flopped top and bottom pair and performs like a monster. Below the ace, sevens and deuces made their sets, and 72 offsuit once again finds itself with two pair on a board built from its own junk.
There is also a hidden draw layer that dry boards usually lack. The 2 opens the door to the wheel: 54 suited holds a gutshot to the five-high straight, 43 needs only a five, and A5 or A4 combine top pair with a straight draw. None of these are strong yet, but they are the only hands on the board with real upgrade potential.
The mistake to avoid is paying off with big pocket pairs. Kings and queens still beat a random hand comfortably, because a random hand usually has nothing, but every ace in the opposing range now beats them, and aces are exactly the cards people keep. The board looks harmless, which is what makes the error expensive: it feels like an overpair even after it has stopped being one.
All 169 hands on A 7 2 rainbow
Equity of every starting hand class against one random opponent hand on A 7 2 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.
Pairs
| Hand | Flops | Equity |
|---|---|---|
| AA | set | 97.5% |
| 77 | set | 96.7% |
| 22 | set | 95.8% |
| KK | 79.7% | |
| 77.9% | ||
| JJ | 76.0% | |
| TT | 74.1% | |
| 99 | 72.2% | |
| 88 | 70.5% | |
| 66 | 60.2% | |
| 55 | 59.3% | |
| 44 | 57.5% | |
| 33 | 55.7% |
Suited
| Hand | Flops | Equity |
|---|---|---|
| A7s | two pair | 94.2% |
| A2s | two pair | 92.7% |
| AKs | pair | 89.3% |
| AQs | pair | 88.7% |
| AJs | pair | 88.2% |
| 72s | two pair | 88.0% |
| ATs | pair | 87.6% |
| A9s | pair | 87.1% |
| A8s | pair | 86.7% |
| A5s | pair | 86.1% |
| A4s | pair | 85.8% |
| A6s | pair | 85.7% |
| A3s | pair | 85.6% |
| K7s | pair | 73.2% |
| Q7s | pair | 72.6% |
| J7s | pair | 72.2% |
| T7s | pair | 71.6% |
| 97s | pair | 71.3% |
| 87s | pair | 70.7% |
| 75s | pair | 69.3% |
| 74s | pair | 69.1% |
| 73s | pair | 69.0% |
| 76s | pair | 68.8% |
| K2s | pair | 60.1% |
| Q2s | pair | 59.5% |
| J2s | pair | 58.9% |
| T2s | pair | 58.2% |
| 92s | pair | 57.7% |
| 82s | pair | 57.1% |
| 52s | pair | 57.1% |
| 32s | pair | 57.0% |
| 42s | pair | 56.9% |
| 62s | pair | 56.2% |
| KQs | 54.1% | |
| KJs | 53.2% | |
| KTs | 52.3% | |
| K9s | 50.6% | |
| K8s | 49.6% | |
| K5s | 47.9% | |
| K4s | 47.5% | |
| K6s | 47.3% | |
| K3s | 47.3% | |
| QJs | 47.1% | |
| QTs | 46.2% | |
| Q9s | 44.5% | |
| Q8s | 43.8% | |
| JTs | 42.1% | |
| Q5s | 41.7% | |
| Q4s | 41.5% | |
| Q3s | 41.3% | |
| Q6s | 41.1% | |
| J9s | 40.2% | |
| J8s | 39.5% | |
| T9s | 36.9% | |
| J5s | 36.7% | |
| J4s | 36.2% | |
| T8s | 36.2% | |
| J3s | 36.0% | |
| J6s | 35.9% | |
| 54s | 33.7% | |
| 98s | 33.6% | |
| T6s | 32.5% | |
| 53s | 32.3% | |
| T5s | 32.1% | |
| T4s | 31.6% | |
| T3s | 31.6% | |
| 43s | 31.1% | |
| 96s | 30.2% | |
| 95s | 29.6% | |
| 86s | 28.4% | |
| 94s | 28.0% | |
| 93s | 27.7% | |
| 85s | 27.6% | |
| 84s | 26.1% | |
| 83s | 24.7% | |
| 65s | 24.0% | |
| 64s | 22.2% | |
| 63s | 20.7% |
Offsuit
| Hand | Flops | Equity |
|---|---|---|
| A7o | two pair | 94.1% |
| A2o | two pair | 92.5% |
| AKo | pair | 89.0% |
| AQo | pair | 88.2% |
| 72o | two pair | 87.9% |
| AJo | pair | 87.7% |
| ATo | pair | 87.2% |
| A9o | pair | 86.6% |
| A8o | pair | 86.2% |
| A5o | pair | 85.4% |
| A3o | pair | 85.3% |
| A6o | pair | 85.2% |
| A4o | pair | 85.2% |
| K7o | pair | 72.3% |
| Q7o | pair | 71.8% |
| J7o | pair | 71.2% |
| T7o | pair | 70.7% |
| 97o | pair | 70.2% |
| 87o | pair | 69.7% |
| 75o | pair | 68.2% |
| 74o | pair | 68.1% |
| 73o | pair | 68.0% |
| 76o | pair | 67.8% |
| K2o | pair | 58.4% |
| Q2o | pair | 57.8% |
| J2o | pair | 57.6% |
| T2o | pair | 56.8% |
| 92o | pair | 56.2% |
| 52o | pair | 55.6% |
| 42o | pair | 55.6% |
| 32o | pair | 55.6% |
| 82o | pair | 55.5% |
| 62o | pair | 54.7% |
| KQo | 52.4% | |
| KJo | 51.5% | |
| KTo | 50.6% | |
| K9o | 48.7% | |
| K8o | 47.7% | |
| K5o | 46.0% | |
| K4o | 45.5% | |
| K6o | 45.3% | |
| K3o | 45.3% | |
| QJo | 45.0% | |
| QTo | 44.1% | |
| Q9o | 42.4% | |
| Q8o | 41.5% | |
| JTo | 39.9% | |
| Q5o | 39.7% | |
| Q4o | 39.4% | |
| Q3o | 39.1% | |
| Q6o | 39.0% | |
| J9o | 38.3% | |
| J8o | 37.1% | |
| T9o | 34.8% | |
| J5o | 34.3% | |
| J4o | 33.9% | |
| T8o | 33.8% | |
| J3o | 33.7% | |
| J6o | 33.5% | |
| 54o | 31.4% | |
| 98o | 31.1% | |
| T6o | 30.2% | |
| 53o | 29.9% | |
| T5o | 29.6% | |
| T4o | 29.2% | |
| 43o | 28.9% | |
| T3o | 28.8% | |
| 96o | 27.6% | |
| 95o | 27.0% | |
| 86o | 25.6% | |
| 94o | 25.3% | |
| 85o | 25.2% | |
| 93o | 25.1% | |
| 84o | 23.6% | |
| 83o | 22.0% | |
| 65o | 21.4% | |
| 64o | 19.7% | |
| 63o | 18.1% |
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