Question: There are two vacancies in a certain statistics department in the United States. Five individuals apply. Two have expertise in linear models and one has

There are two vacancies in a certain statistics department in the United States. Five individuals apply. Two have expertise in linear models and one has expertise in applied probability. The search committee is instructed to choose the two members randomly.

(a) What is the probability that the two chosen are those with expertise in linear models?

(b) What is the probability that from the two chosen, one: has expertise: in linear models and one has expertise in applied probability?

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