100 people were asked their opinion about two movies. 70 of them liked the first movie, 50 of them liked the second movie, and 25 of them liked both movies. (a) What is the probability that someone likes at least one movie? (b) What is the probability that someone likes exactly one movie?

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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100 people were asked their opinion about two movies. 70 of them liked the first movie, 50
of them liked the second movie, and 25 of them liked both movies.
(a) What is the probability that someone likes at least one movie?
(b) What is the probability that someone likes exactly one movie?
Transcribed Image Text:100 people were asked their opinion about two movies. 70 of them liked the first movie, 50 of them liked the second movie, and 25 of them liked both movies. (a) What is the probability that someone likes at least one movie? (b) What is the probability that someone likes exactly one movie?
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Given,no.of people were like 1st movie=70no.of people were like 2nd movie=50no.of people were like both movies=25total no.of peoples=100

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