Alex, Ben, and Cassie each need to pass one class to graduate. Alex needs to pass calculus. Ben needs to pass biochemistry. Cassie needs to pass Shakespeare. Suppose A is the event that Alex passes calculus. B is the event that Ben passes biochemistry. C is the event Cassie passes Shakespeare. Based upon past experience, we know that probability P(A) = .91, P(B) = .82, P(C) = .76. These events are independent from one another. a. What is the probability that all three students graduate?  b. What is the probability that none of the students graduate?  c. What is the probability that Alex passes calculus and Ben does not pass biochemistry?  d. What is the probability that at least one of the students graduate?  e. What is the probability of exactly two of the students graduate?  f. What is the probability that Alex or Ben graduates?  Add any comments below

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Alex, Ben, and Cassie each need to pass one class to graduate. Alex needs to pass calculus. Ben needs to pass biochemistry. Cassie needs to pass Shakespeare. Suppose A is the event that Alex passes calculus. B is the event that Ben passes biochemistry. C is the event Cassie passes Shakespeare. Based upon past experience, we know that probability P(A) = .91, P(B) = .82, P(C) = .76. These events are independent from one another.

a. What is the probability that all three students graduate? 
b. What is the probability that none of the students graduate? 
c. What is the probability that Alex passes calculus and Ben does not pass biochemistry? 
d. What is the probability that at least one of the students graduate? 
e. What is the probability of exactly two of the students graduate? 
f. What is the probability that Alex or Ben graduates? 
Add any comments below.

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