A college basketball player makes 80% of her free throws. Suppose this probabili

Question

A college basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts, and free throw attempts are independent. The probability that she makes all of her first four free throws and then misses her fifth attempt this season is A college basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts, and free throw attempts are independent. The probability that she makes all of her first four free throws and then misses her fifth attempt this season is

Explanation / Answer

Ans:

Probability of making free throws,p=0.8 (success)

Probbaility of not making free thow,1-p=1-0.8=0.2 (failure)

probability that she makes all of her first four free throws and then misses her fifth attempt this season is

=0.8*0.8*0.8*0.8*0.2

=0.0819

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