and 3 12. The probabilities of each of three events P, Q and R are 5' 10 respectively. (a) Given that P, Q and R are mutually exclusive, find the probability that none of them occurs. (b) Given that P, Q and R are independent, find the probability that exactly one of them occurs.

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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2
1 3
and
5' 10
5
12.
The probabilities of each of three events P, Q and R are
respectively.
(a)
Given that P, Q and R are mutually exclusive, find the probability that
none of them occurs.
(b)
Given that P, Q and R are independent, find the probability that
exactly one of them occurs.
Transcribed Image Text:2 1 3 and 5' 10 5 12. The probabilities of each of three events P, Q and R are respectively. (a) Given that P, Q and R are mutually exclusive, find the probability that none of them occurs. (b) Given that P, Q and R are independent, find the probability that exactly one of them occurs.
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