Problem 4. A student lives within walking distance of 6 restaurants. She has cra

Question

Problem 4. A student lives within walking distance of 6 restaurants. She has cractly 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 caled somone at a restaurant where two of her friends are present?

Explanation / Answer

0 Friends in 1 restaurant

1 Friends in 3 restaurant

2 Friends in 2 restaurant

a) There are 5 restaurants in which she have atleast friend

P(atleast friend at the restaurant) = 5 / 6

b) She have total 7 friends

Out of them total 4 friends are in pair(2 pair)

so the probability

P(She called someone at a restaurant where two of her friends are present) = 4 / 7

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