Alice needs to pass two different exams. She believes that there is a probability of 32 % of passing the first exam. If she passes the first exam, then the probability of passing the second exam is 66 %. However, if she fails in the first exam, then Alice thinks that the probability of passing the second exam is just 57 %. (a) What is the probability that Alice passes both exams? (Notation: do not use % in your answers but actual numerical values) (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
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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 32 % of passing the first exam. If she passes the first exam,
then the probability of passing the second exam is 66 %. However, if she fails in the first exam, then Alice thinks that the probability of passing
the second exam is just 57 %.
(a) What is the probability that Alice passes both exams? (Notation: do not use % in your answers but actual numerical values)
(d) What is the probability that she passes the second exam?
Transcribed Image Text:Alice needs to pass two different exams. She believes that there is a probability of 32 % of passing the first exam. If she passes the first exam, then the probability of passing the second exam is 66 %. However, if she fails in the first exam, then Alice thinks that the probability of passing the second exam is just 57 %. (a) What is the probability that Alice passes both exams? (Notation: do not use % in your answers but actual numerical values) (d) What is the probability that she passes the second exam?
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