Mutually exclusive event question help?

Posted on 2017-05-31 18:34:00 in Math by DYLAN

The Golden State Warriors are playing the Cleveland Cavaliers on Thursday June 1, 2017 in Game 1 of the NBA Championship Series. Suppose that Golden State has a 58 percent chance of winning the game. NBA games cannot end in a tie. 

2. After Game 1 on June 1st , Golden State will play: Date GAME Win Probability 
June 4 Cleveland Cavaliers (Game 2) 61.0 percent 
June 7 Cleveland Cavaliers (Game 3) 52.0 percent 
June 9 Cleveland Cavaliers (Game 4) 57.0 percent 

a. What is the probability that Golden State wins ALL four games they play and therefore wins the NBA Championship? [2 points] 
b. What is the probability that Golden State loses ONLY ONE of the four games? Be sure to show your work. (Hint: they could lose Game 1 AND win the others OR they could lose Game 2 AND win the others...) [4 points] 

Mostly need to understand how to get 2a and 2b because I do not know how to get the right probability for mutually exclusive events.

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