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.
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...
Related questions
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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Solved in 4 steps
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