What is every hand worth on an A K Q rainbow flop?
On an A K Q rainbow flop, JT flops the nut straight and outruns even top set, every big broadway holding is a huge favorite over a random hand, and the low half of the deck is close to drawing dead.
A K Q rainbow
Broadway boardsEquity vs one random hand
Notable hands on A K Q rainbow
| Hand | Flops | Equity | Why it matters |
|---|---|---|---|
| JTs | straight | 95.4% | The nut straight. The one hand that outranks top set on this board. |
| JTo | straight | 95.3% | Same straight, no suits required. The whole table bows to jack-ten here. |
| AA | set | 93.9% | Top set on the highest flop in the game, and still only second best. |
| KK | set | 93.4% | Middle set, hemmed in slightly by the straight but a monster all the same. |
| AKo | two pair | 90.6% | Top two pair, dominating every ace and king a random hand can offer. |
| A2s | pair | 81.7% | The weakest ace still holds top pair on this board, and it plays like a premium. |
| JJ | nothing yet | 68.1% | An underpair with a gutshot to the nuts. Odd mix, respectable equity. |
| 99 | nothing yet | 56.8% | Looks like a real pocket pair, plays like two blanks. A modest favorite and nothing more. |
| T9s | nothing yet | 47.2% | A pretty connector reduced to a gutshot. It loses to a random hand more than it wins. |
| 65s | nothing yet | 23.5% | Completely uninvolved. The low half of the deck is dead on this texture. |
A K Q rainbow cares more about who raised preflop than any other flop in this collection. The three highest ranks in the deck are all face up, so every premium starting hand has connected in some way, while the bottom half of the deck is left with almost nothing to hope for. With three different suits out there, no flush draw exists, and the action revolves entirely around pairs, two pair, and one very famous straight.
That straight belongs to JT, and it flips the usual hierarchy on its head: jack-ten, suited or not, flops the nut straight and outperforms even top set. Behind it, pocket aces, kings, and queens have all made sets and are close to unbeatable against a random hand. AK has flopped top two pair, AQ holds aces and queens, and any ace at all, right down to A2, carries top pair on the highest board possible.
The disappointments are the hands that look like they belong at this party but were never actually invited. Pocket nines and eights are underpairs to everything here, reduced to modest favorites at best against a random hand. T9 suited seems tailor-made for a broadway board yet holds only a gutshot, and it loses more often than it wins.
The mistake to avoid is treating any pair as a hand worth a stack. Against a single random hand, top pair is doing great, but this is the texture where straights and sets collide with top two pair, and one pair of aces is the classic pay-off holding. Value your big hands honestly: on A K Q, the nut straight is the boss, and everything else is negotiating.
All 169 hands on A K Q rainbow
Equity of every starting hand class against one random opponent hand on A K Q rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.
Pairs
| Hand | Flops | Equity |
|---|---|---|
| AA | set | 93.9% |
| KK | set | 93.4% |
| set | 92.9% | |
| JJ | 68.1% | |
| TT | 67.9% | |
| 99 | 56.8% | |
| 88 | 55.2% | |
| 77 | 53.3% | |
| 66 | 51.5% | |
| 55 | 49.7% | |
| 44 | 47.8% | |
| 33 | 46.0% | |
| 22 | 44.3% |
Suited
| Hand | Flops | Equity |
|---|---|---|
| JTs | straight | 95.4% |
| AKs | two pair | 90.8% |
| AQs | two pair | 89.8% |
| KQs | two pair | 87.7% |
| AJs | pair | 87.3% |
| ATs | pair | 87.2% |
| A9s | pair | 82.7% |
| A8s | pair | 82.2% |
| A5s | pair | 82.0% |
| A7s | pair | 81.9% |
| A6s | pair | 81.8% |
| A4s | pair | 81.8% |
| A3s | pair | 81.7% |
| A2s | pair | 81.7% |
| KJs | pair | 81.6% |
| KTs | pair | 81.5% |
| K9s | pair | 76.1% |
| QJs | pair | 75.9% |
| K8s | pair | 75.8% |
| QTs | pair | 75.6% |
| K7s | pair | 75.5% |
| K6s | pair | 75.4% |
| K5s | pair | 75.4% |
| K4s | pair | 75.3% |
| K3s | pair | 75.3% |
| K2s | pair | 75.3% |
| Q9s | pair | 69.3% |
| Q8s | pair | 69.1% |
| Q4s | pair | 68.8% |
| Q7s | pair | 68.7% |
| Q6s | pair | 68.7% |
| Q5s | pair | 68.7% |
| Q3s | pair | 68.7% |
| Q2s | pair | 68.5% |
| J9s | 52.4% | |
| J8s | 51.8% | |
| J7s | 51.5% | |
| J6s | 51.1% | |
| J5s | 50.6% | |
| J4s | 50.6% | |
| J3s | 50.4% | |
| J2s | 50.3% | |
| T9s | 47.2% | |
| T8s | 46.6% | |
| T7s | 46.1% | |
| T6s | 45.8% | |
| T5s | 45.5% | |
| T4s | 45.4% | |
| T3s | 45.2% | |
| T2s | 45.2% | |
| 98s | 33.8% | |
| 97s | 33.2% | |
| 96s | 32.9% | |
| 95s | 32.7% | |
| 94s | 32.4% | |
| 93s | 32.2% | |
| 92s | 32.0% | |
| 87s | 29.2% | |
| 86s | 28.7% | |
| 85s | 28.5% | |
| 84s | 28.2% | |
| 83s | 28.2% | |
| 82s | 27.9% | |
| 76s | 25.7% | |
| 75s | 25.6% | |
| 74s | 25.3% | |
| 73s | 25.1% | |
| 72s | 25.0% | |
| 54s | 23.7% | |
| 65s | 23.5% | |
| 53s | 23.4% | |
| 64s | 23.3% | |
| 52s | 23.3% | |
| 63s | 23.1% | |
| 43s | 23.0% | |
| 62s | 22.9% | |
| 42s | 22.8% | |
| 32s | 22.7% |
Offsuit
| Hand | Flops | Equity |
|---|---|---|
| JTo | straight | 95.3% |
| AKo | two pair | 90.6% |
| AQo | two pair | 89.7% |
| KQo | two pair | 87.2% |
| AJo | pair | 87.0% |
| ATo | pair | 86.6% |
| A9o | pair | 82.0% |
| A8o | pair | 81.6% |
| KJo | pair | 81.3% |
| A7o | pair | 81.3% |
| A6o | pair | 81.2% |
| A5o | pair | 81.2% |
| A2o | pair | 81.2% |
| A3o | pair | 81.1% |
| A4o | pair | 81.0% |
| KTo | pair | 80.9% |
| K9o | pair | 75.4% |
| QJo | pair | 75.2% |
| K8o | pair | 75.0% |
| QTo | pair | 74.9% |
| K7o | pair | 74.8% |
| K5o | pair | 74.6% |
| K6o | pair | 74.5% |
| K4o | pair | 74.5% |
| K2o | pair | 74.5% |
| K3o | pair | 74.4% |
| Q9o | pair | 68.4% |
| Q8o | pair | 68.1% |
| Q7o | pair | 67.8% |
| Q5o | pair | 67.7% |
| Q4o | pair | 67.7% |
| Q6o | pair | 67.6% |
| Q2o | pair | 67.6% |
| Q3o | pair | 67.5% |
| J9o | 50.9% | |
| J8o | 50.3% | |
| J7o | 49.7% | |
| J6o | 49.3% | |
| J5o | 49.2% | |
| J4o | 49.1% | |
| J3o | 48.8% | |
| J2o | 48.6% | |
| T9o | 45.6% | |
| T8o | 44.8% | |
| T7o | 44.4% | |
| T6o | 44.1% | |
| T5o | 44.0% | |
| T4o | 43.5% | |
| T3o | 43.4% | |
| T2o | 43.2% | |
| 98o | 31.6% | |
| 97o | 31.1% | |
| 96o | 30.7% | |
| 95o | 30.3% | |
| 94o | 30.2% | |
| 93o | 30.0% | |
| 92o | 29.8% | |
| 87o | 26.7% | |
| 86o | 26.3% | |
| 85o | 26.1% | |
| 84o | 25.8% | |
| 83o | 25.6% | |
| 82o | 25.5% | |
| 76o | 23.3% | |
| 75o | 22.9% | |
| 74o | 22.6% | |
| 73o | 22.5% | |
| 72o | 22.4% | |
| 54o | 21.0% | |
| 65o | 20.8% | |
| 53o | 20.7% | |
| 52o | 20.7% | |
| 64o | 20.6% | |
| 62o | 20.5% | |
| 63o | 20.4% | |
| 43o | 20.3% | |
| 42o | 20.1% | |
| 32o | 20.0% |
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