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um plz help me with this, i already lost 9999999999 brain cells just by looking at this

 May 11, 2023
 #1
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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​​.

 May 11, 2023

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