What is every hand worth on a K Q J rainbow flop?
On a K Q J rainbow flop, AT flops the nut straight and leads the table, T9 holds the second straight, and the sets, overpairs, and big top-pair hands all crush a random hand.
K Q J rainbow
Broadway boardsEquity vs one random hand
Notable hands on K Q J rainbow
| Hand | Flops | Equity | Why it matters |
|---|---|---|---|
| ATs | straight | 95.5% | The nut straight, ace through ten. Top of the table and it is not close. |
| KK | set | 89.6% | Top set on a board where even top set has company above it. |
| set | 89.1% | Middle set, wedged into one of the most crowded flops in poker. | |
| T9o | straight | 91.4% | The king-high straight, even unsuited. Sneaky-huge, and still second-best to AT. |
| AA | overpair | 85.4% | A real overpair with a gutshot to the nuts stapled on. |
| KQs | two pair | 85.6% | Top two pair, the hand that pays off straights but crushes a random hand. |
| JJ | set | 88.6% | Bottom set. On most boards that is a jackpot; here it merely joins the queue. |
| 88 | nothing yet | 51.6% | A snug little pair reduced to a coin flip under three broadway cards. |
| 98s | nothing yet | 38.9% | Looks made for this board, holds a gutshot and not much else. |
| 65s | nothing yet | 22.6% | Nothing, drawing at nothing. The low deck need not apply. |
K Q J rainbow is the most connected board you can build from pure broadway cards, and it plays a full gear more violently than its ace-high cousin. Two different straights are already possible, every big pocket pair has either flopped a set or picked up a draw, and the only quiet corner of the deck is the low junk, which has never been deader.
AT owns the flop: it makes the nut straight, ace through ten, and sits clear at the top of the table. T9 has the other straight, king-high, and even offsuit it beats nearly everything. The three sets, kings, queens, and jacks, arrive stacked on top of each other, while pocket aces keep genuine overpair status and add a gutshot to the same nut straight AT already holds. KQ flops top two and rounds out a very crowded penthouse.
The board is far less generous one floor down. Pocket tens hold an open-ended draw plus unimproved showdown value, which keeps them respectable, but nines and especially eights have sunk toward even money against a random hand. 98 suited looks like it should love this flop and gets only a gutshot for its trouble.
The trap here is the second-best straight and the second-best everything else. T9 is a mighty favorite against a random hand, but it is precisely the hand that loses a big pot to AT when the money piles in. Same story for one-pair hands like KQ running into a set. Against random, bet everything good; against real resistance on K Q J, remember how deep the top of this board runs.
All 169 hands on K Q J rainbow
Equity of every starting hand class against one random opponent hand on K Q J rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.
Pairs
| Hand | Flops | Equity |
|---|---|---|
| KK | set | 89.6% |
| set | 89.1% | |
| JJ | set | 88.6% |
| AA | overpair | 85.4% |
| TT | 70.9% | |
| 99 | 60.5% | |
| 88 | 51.6% | |
| 77 | 49.7% | |
| 66 | 48.1% | |
| 55 | 46.4% | |
| 44 | 44.5% | |
| 33 | 42.7% | |
| 22 | 41.0% |
Suited
| Hand | Flops | Equity |
|---|---|---|
| ATs | straight | 95.5% |
| T9s | straight | 91.5% |
| KQs | two pair | 85.6% |
| AKs | pair | 85.5% |
| KTs | pair | 84.8% |
| KJs | two pair | 84.6% |
| QJs | two pair | 82.5% |
| QTs | pair | 80.4% |
| AQs | pair | 80.2% |
| K9s | pair | 79.2% |
| K8s | pair | 75.7% |
| K7s | pair | 75.6% |
| JTs | pair | 75.6% |
| K6s | pair | 75.4% |
| K5s | pair | 75.4% |
| K4s | pair | 75.3% |
| K3s | pair | 75.3% |
| K2s | pair | 75.2% |
| AJs | pair | 74.8% |
| Q9s | pair | 73.8% |
| Q7s | pair | 69.7% |
| Q8s | pair | 69.6% |
| Q6s | pair | 69.3% |
| Q5s | pair | 69.3% |
| Q3s | pair | 69.3% |
| Q2s | pair | 69.2% |
| Q4s | pair | 69.1% |
| J9s | pair | 68.4% |
| J8s | pair | 63.5% |
| J7s | pair | 63.2% |
| J6s | pair | 63.0% |
| J5s | pair | 63.0% |
| J4s | pair | 62.9% |
| J3s | pair | 62.8% |
| J2s | pair | 62.8% |
| A9s | 55.5% | |
| A8s | 54.3% | |
| A7s | 54.0% | |
| A6s | 53.5% | |
| A4s | 53.3% | |
| A5s | 53.2% | |
| T8s | 52.9% | |
| A2s | 52.8% | |
| A3s | 52.7% | |
| T7s | 52.5% | |
| T6s | 52.1% | |
| T5s | 51.9% | |
| T4s | 51.8% | |
| T3s | 51.6% | |
| T2s | 51.5% | |
| 98s | 38.9% | |
| 97s | 38.5% | |
| 96s | 38.1% | |
| 95s | 37.8% | |
| 94s | 37.8% | |
| 93s | 37.5% | |
| 92s | 37.4% | |
| 87s | 28.2% | |
| 86s | 27.8% | |
| 85s | 27.5% | |
| 84s | 27.4% | |
| 83s | 27.1% | |
| 82s | 26.9% | |
| 76s | 24.8% | |
| 75s | 24.5% | |
| 74s | 24.3% | |
| 73s | 24.2% | |
| 72s | 23.9% | |
| 65s | 22.6% | |
| 64s | 22.4% | |
| 63s | 22.3% | |
| 62s | 22.0% | |
| 54s | 21.2% | |
| 53s | 21.1% | |
| 52s | 21.0% | |
| 43s | 20.6% | |
| 42s | 20.4% | |
| 32s | 20.3% |
Offsuit
| Hand | Flops | Equity |
|---|---|---|
| ATo | straight | 95.2% |
| T9o | straight | 91.4% |
| KQo | two pair | 85.3% |
| AKo | pair | 85.0% |
| KTo | pair | 84.5% |
| KJo | two pair | 84.3% |
| QJo | two pair | 82.1% |
| QTo | pair | 79.7% |
| AQo | pair | 79.6% |
| K9o | pair | 78.8% |
| JTo | pair | 75.0% |
| K8o | pair | 74.9% |
| K7o | pair | 74.8% |
| K6o | pair | 74.6% |
| K4o | pair | 74.5% |
| K2o | pair | 74.5% |
| K5o | pair | 74.4% |
| K3o | pair | 74.4% |
| AJo | pair | 73.9% |
| Q9o | pair | 73.2% |
| Q8o | pair | 68.7% |
| Q7o | pair | 68.6% |
| Q6o | pair | 68.4% |
| Q3o | pair | 68.4% |
| Q2o | pair | 68.2% |
| Q5o | pair | 68.1% |
| Q4o | pair | 68.1% |
| J9o | pair | 67.1% |
| J8o | pair | 62.2% |
| J7o | pair | 62.0% |
| J6o | pair | 61.8% |
| J2o | pair | 61.8% |
| J4o | pair | 61.7% |
| J5o | pair | 61.6% |
| J3o | pair | 61.6% |
| A9o | 53.7% | |
| A8o | 52.8% | |
| A7o | 52.1% | |
| A6o | 51.8% | |
| T8o | 51.6% | |
| A5o | 51.5% | |
| A4o | 51.4% | |
| T7o | 51.2% | |
| A3o | 51.1% | |
| A2o | 51.0% | |
| T6o | 50.7% | |
| T5o | 50.5% | |
| T4o | 50.4% | |
| T3o | 50.2% | |
| T2o | 50.0% | |
| 98o | 37.0% | |
| 97o | 36.4% | |
| 96o | 36.1% | |
| 95o | 35.9% | |
| 94o | 35.6% | |
| 93o | 35.4% | |
| 92o | 35.2% | |
| 87o | 25.8% | |
| 86o | 25.4% | |
| 85o | 25.1% | |
| 84o | 24.9% | |
| 83o | 24.9% | |
| 82o | 24.6% | |
| 76o | 22.2% | |
| 75o | 22.0% | |
| 74o | 21.6% | |
| 73o | 21.5% | |
| 72o | 21.4% | |
| 65o | 19.9% | |
| 64o | 19.6% | |
| 63o | 19.5% | |
| 62o | 19.2% | |
| 54o | 18.6% | |
| 53o | 18.4% | |
| 52o | 18.1% | |
| 43o | 17.9% | |
| 42o | 17.7% | |
| 32o | 17.5% |
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