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 passingthe 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)(b) What is the probability that she fails in both exams?(c) What is the probability that she passes only one of the exams?

Given : P(First Exam) = 0.32 P(Second Exam | First Exam) = 0.66 P(Second Exam | not First Exam) =…

Answered: Alice needs to pass two different…

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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