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1. (5 marks) A personnel director has two lists of applicants for two available jobs. List...

1. A personnel director has two lists of applicants for two available jobs. List 1 contains names of seven women and three men, whereas list 2 contains the names of four women and six men. A fair die is rolled. If it lands on: - 1 or 2: then both individuals are randomly selected from list 1 and given jobs. - 3: then both individuals are randomly selected from list 2 and given jobs - 4, 5 or 6: then one individual is randomly selected from each list and given jobs. Given two women ended up being selected, what is the probability they were both selected from list 1

2. A plane is missing and is presumed to have probability of i^2 /14 of being down in one of three regions, i =1,2,3. If a plane is actually down in region i, suppose there is a probability of i/10 that the plane will be found upon a search of the i-th region. a) What is the probability the plane is in region 3, given a search of region 1 did not find the plane? b) What is the probability the plane is in region 2, given a search of region 2 did not find the plane?

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