(a) What is the probability that Alice passes both exams? (b) What is the probability that she fails in both exams? (c) What is the probability that she passes only one of the exams?(d) What is the probability that she passes the second exam? Alice needs to pass two different exams. She believes that there is a probability of 43 % of passing the first exam. If she passes the first exam,then the probability of passing the second exam is 72 %. However, if she fails in the first exam, then Alice thinks that the probability of passingthe second exam is just 42 %.

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(a) What is the probability that Alice passes both exams? (b) What is the probability that she fails in both exams? (c) What is the probability that she passes only one of the exams? (d) What is the probability that she passes the second exam

(a) What is the probability that Alice passes both exams? (b) What is the probability that she fails in both exams? (c) What is the probability that she passes only one of the exams? (d) What is the probability that she passes the second exam

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Alice needs to pass two different exams. She believes that there is a probability of 43 % of passing the first exam. If she passes the first exam,
then the probability of passing the second exam is 72 %. However, if she fails in the first exam, then Alice thinks that the probability of passing
the second exam is just 42 %.

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