Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free throws in a row, $10 for 2 free throws, and $5 for 1 free throw.  Whitney will pay her mom $10 for no free throws.  She normally scores 68% of the time. What is the probability that she makes all 3 free throws?   What is the probability that she only makes 2 free throws?   What is the probability that she only makes 1 free throw?   What is the expected value for how much money she can expect to make?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free throws in a row, $10 for 2 free throws, and $5 for 1 free throw.  Whitney will pay her mom $10 for no free throws.  She normally scores 68% of the time.

What is the probability that she makes all 3 free throws?  
What is the probability that she only makes 2 free throws?  
What is the probability that she only makes 1 free throw?  
What is the expected value for how much money she can expect to make?

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