Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please Explain! A student lives within walking distance of 6 restaurants. She ha

ID: 3351218 • Letter: P

Question

Please Explain!

A student lives within walking distance of 6 restaurants. She has exactly 1 friend at 3 of the restaurants, 2 friends at the 2 of the restaurants, and she has no friends at one of the restaurants. Suppose this accounts for all of her friends. Be clear about the sample space in answering the following questions.

a. Suppose she chooses a restaurant at random. What is the probability that she has at least one friend at the restaurant?

b. She called a friend at random in order to meet up for dinner. What is the probability that she called someone at a restaurant where two of her friends are present?

Explanation / Answer

Probability that she meets a friend = 5 restaurants with atleast 1 friend /6= 5/6

probability that she called someone at a restaurant where two of her friends are present = 2/6 = 1/3