Chris and Juanita always go to the movies on Friday night. Before their date the
ID: 2927008 • Letter: C
Question
Chris and Juanita always go to the movies on Friday night. Before their date they independently decide what genre of movie they prefer to see. Chris prefers an adventure movie with probability 0.79 and romance 0.21. And Juanita chooses adventure with probability 0.31 and a romance with probability 0.69. a) What is he probability that they both choose an adventure movie? b) What is the probability that their choices agree? Chris and Juanita always go to the movies on Friday night. Before their date they independently decide what genre of movie they prefer to see. Chris prefers an adventure movie with probability 0.79 and romance 0.21. And Juanita chooses adventure with probability 0.31 and a romance with probability 0.69. a) What is he probability that they both choose an adventure movie? b) What is the probability that their choices agree? a) What is he probability that they both choose an adventure movie? b) What is the probability that their choices agree?Explanation / Answer
A) P(both choose adventure movie) = 0.79 * 0.31 = 0.2449
B) P(their choices agree) = P(both choose adventure movie) + P(both choose romance movie)
= 0.79 * 0.31 + 0.21 * 0.69
= 0.3898
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