For (5)(8) Suppose you pick a number at random from 1 to 100. Let A be the event that the number chosen is even. Let B be the event that the number chosen is prime. It may be helpful to remember that the prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (5) (Basic Probability) What are the following probabilities? (6) (Mutual Exclusivity) What is the following probability? P(A and B) = Are A and B mutually exclusive? Why or why not? (7) (Independence) What are the following probabilities? P(A|B) = P(B|A) = Are A and B independent? Why or why not