A concession stand at a movie theater offers soda and popcorn for sale. A survey shows that that 50% of moviegoers purchase a soda, 45% of moviegoers purchase popcorn, and 25% of the moviegoers purchase both soda and popcorn. We define the following events for a randomly chosen moviegoer: A:purchases a soda B: purchases popcorn For each of the events described below, provide an expression using events A and B; and compute their respective probabilities. (a) A randomly chosen moviegoer purchases a soda but not popcorn. (1 (b) A randomly chosen moviegoer purchases a soda or popcorn. (c) A randomly chosen moviegoer does not purchase anything.
A concession stand at a movie theater offers soda and popcorn for sale. A survey shows that that 50% of moviegoers purchase a soda, 45% of moviegoers purchase popcorn, and 25% of the moviegoers purchase both soda and popcorn. We define the following events for a randomly chosen moviegoer: A:purchases a soda B: purchases popcorn For each of the events described below, provide an expression using events A and B; and compute their respective probabilities. (a) A randomly chosen moviegoer purchases a soda but not popcorn. (1 (b) A randomly chosen moviegoer purchases a soda or popcorn. (c) A randomly chosen moviegoer does not purchase anything.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...
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Question
Please answer correctly and show all your work. Attached is the formula sheet you can use.
Expert Solution
Step 1
Given that
A=purchase soda
B=purchase popcorn
P(A)=50% , P(B)=45% , P(A and B)=25%
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