um plz help me with this, i already lost 9999999999 brain cells just by looking at this
There are 3 possible outcomes for a best 2 out of 3 series:
Alpha wins both games.
Beta wins both games.
Each team wins one game.
The probability of alpha winning both games is (0.6)^2=0.36.
The probability of beta winning both games is (0.4)^2=0.16.
The probability of each team winning one game is 2(0.6)(0.4)=0.48.
Since the sum of the probabilities of all possible outcomes must be 1, the probability that beta wins the championship is 1−0.36−0.16=48/100=12/25.