A statistical experiment has eight equally likely outcomes denoted by 1,2,3,4,5,6,7, and 8. Suggest the events: A = {2, 5, 7} and B = {2, 4, 8}. Are A and B mutually exclusive events? Compute the probability of event A, P(A). Calculate the conditional probability of event A given B, P(A|B). Write your answer as a fraction. Are A and B independent events?