Tammy is practicing her basketball free throws. On each attempt, she has a 0.2 chance of successfully making it. Each attempt is independent of the previous ones. She will keep attempting free throws until she makes a successful one. (a) What is the probability that she will make exactly three attempts? (b) What is the probability that she will make no more than three attempts? (c) What is the probability that she will need to make more than three attempts?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Tammy is practicing her basketball free throws. On each attempt, she has a 0.2 chance of
successfully making it. Each attempt is independent of the previous ones. She will keep
attempting free throws until she makes a successful one.
(a) What is the probability that she will make exactly three attempts?
(b) What is the probability that she will make no more than three attempts?
(c) What is the probability that she will need to make more than three attempts?
(d) Prove, using series from calculus, that the probability that she will ultimately make a successful attempt is 1.

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