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

Question

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

a) here total number of restaurants =6

and number of restaurants with at least one friend =3+2 =5

therefore probability that she has at least one friend at the restaurant =5/6

b)

total number of friends =1*3+2*2+1*0=7

and number of friends in pair in restaurants=2*2=4

therefore probability that she called someone at a restaurant where two of her friends are present =4/7

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