# AA versus AA what is the chance of winning

AA versus AA the only way to win or lose is a flush

What is the chance of a flush?

To me a general answer on how to calculate odds is not a duplicate. I think most or many people on this site would not know how to calculate this situation even with those instructions. I may open a meta.

• Possible duplicate of How do I calculate poker hand probabilities? May 8, 2017 at 21:35
• Keep in mind that a straight flush will also win for only one hand. Oct 15, 2018 at 15:03
• Wouldn't it be lower since I thought even the probability of each person even being dealt AA is .45%. Just lost AA vs AA so I looked this up. Mar 3, 2023 at 21:46

Running AA vs AA in ProPokerTools gives us an approximate 2.2% probability of winning, presuming it's an all-in preflop situation.

• I get 2.22 from that link. Don't know why my answer is different. May 7, 2017 at 2:10
• You're right, I made a mistake. It's 2.2%. May 7, 2017 at 2:44
• I get 2.17 with Equilab May 7, 2017 at 13:03
• I rounded up, it was 2.17 something. May 7, 2017 at 20:48

Using combination

(combin(12,4)*2*36 + combin(12,5)) / combin(48,5) = 0.0217 = 1 / 42

More often than I would have guesed

• COULD YOU REPHARSE THIS QUESTION ONE OF THE USERS FLAGGED THE QUWSTION AS CONFUSING
– Jon
Mar 9, 2023 at 7:53