Hand odds / AK vs 87
AK vs 87: odds and equity
In short
AKo wins 62.2% of the time against 87o all in before the flop, 87o wins 37.4%, and they split the pot 0.4% of the time. AKo is a clear favourite, about 2 to 1. With AKo vs 87s the split is 58.8% to 41.2% in equity.
AKo
62.4%
87o
37.6%
Equity: win% plus half of the 0.4% split pots. AKo is a clear favourite, about 2 to 1.
Every suit combination
| Matchup | Hand 1 wins | Hand 2 wins | Split | Hand 1 equity |
|---|---|---|---|---|
| AKs vs 87s | 61.2% | 38.4% | 0.5% | 61.4% |
| AKs vs 87o | 64.0% | 35.6% | 0.4% | 64.2% |
| AKo vs 87s | 58.6% | 41.0% | 0.4% | 58.8% |
| AKo vs 87o | 62.2% | 37.4% | 0.4% | 62.4% |
What the flop does to it
When no 8 or 7 comes on the flop (76.3% of flops), AKo has 71.0% equity going to the turn. When one does, AKo drops to 34.8%.
AKo has two higher cards, but 87o has more ways to make straights. Still, AKo wins whenever nobody pairs.
When this all-in happens in push/fold
At 10BB in 6-max, the Button shoves AKo always, but the Big Blind folds 87o. You'll mostly see this all-in when someone calls too wide.
| 6-max spot | Shove AKo | Call with 87o | Shove 87o | Call with AKo |
|---|---|---|---|---|
| Cutoff shoves, Big Blind calls, 10BB | 100% | 0% | 0% | 100% |
| Button shoves, Big Blind calls, 10BB | 100% | 0% | 0% | 100% |
| Small Blind shoves, Big Blind calls, 10BB | 100% | 0% | 100% | 100% |
| Cutoff shoves, Big Blind calls, 15BB | 100% | 0% | 0% | 100% |
| Button shoves, Big Blind calls, 15BB | 100% | 0% | 0% | 100% |
| Small Blind shoves, Big Blind calls, 15BB | 100% | 0% | 98% | 100% |
How often each hand shoves or calls in our solved 6-max chip-EV charts. A row with both columns high is a spot where this exact all-in is correct for both players. See every chart.
Common questions
- Who is the favourite, AK or 87?
- AKo. All in preflop it has 62.4% equity against 87o: 62.2% wins plus half of the 0.4% split pots. That's a clear favourite, about 2 to 1.
- Do suits change the odds?
- A little. AKs vs 87s is 61.4% to 38.6%; AKs vs 87o is 64.2% to 35.8%; AKo vs 87s is 58.8% to 41.2%; AKo vs 87o is 62.4% to 37.6%. Suited hands make more flushes, which is worth a few percent.
- What happens on the flop?
- When no 8 or 7 comes on the flop (76.3% of flops), AKo has 71.0% equity going to the turn. When one does, AKo drops to 34.8%.
- When does AK vs 87 happen in push/fold?
- At 10BB in 6-max, the Button shoves AKo always, but the Big Blind folds 87o. You'll mostly see this all-in when someone calls too wide.
- How were these odds worked out?
- By counting every possible five-card board for every combination of suits: 144 card combinations for AKo vs 87o, 1,712,304 boards each. The numbers are exact, not simulated.