Use the theoretical probability formula to solve the problem. 1) A single die is rolled once. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6). Find the probability of the following events: a) Rolling "1" OR "5" b) Rolling an Odd number AND a number greater than 3 c) Rolling a "4" on the condition that an even number was rolled Determine whether the events are independent. 2) Suppose the probability of event A is p(A) = .83 and the probability of event B is p(B) = .26 and p(An B) = .2158 a) Are the events A, and B independent? Show why or why not. b) Are the events A, and B mutually exclusive? Show why or why not. c) Find p(A u B) =

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