1. Suppose we have a six-sided die that we roll once. Let ai represent the event that the result is i. Let Bj represent the event that the dice comes out greater than j. Let C represent the event that the result is an even number. a) Since the number is greater than 1, what is the conditional probability that 3 is obtained? (P[A3|B1])

b) Since the number is greater than 3, what is the conditional probability that 6 is obtained?

c) Since the result is an even number, what is the conditional probability of a number greater than 3? (ie P[B3|C])

d) Since the number is greater than 3, what is the conditional probability of an even number?