(30 pt.) A red and a blue die are thrown. Both dice are fair (that is, all sides are equally likely). The events A, B, and C are defined as follows: A: The sum of the numbers on the two dice is at most 3. B: The sum of the numbers on the two dice is odd. C: The number on the red die is 3. a. (10 pt.) Calculate the probability of each individual event; that is, calculate p(A), p(B), and p(C) b. (5 pt.) What is p(AIB)? c. (5 pt.) What is p(BIC)? d. (5 pt.) What is p(A|C)? e (5 pt.) Consider all pairs of events: A and B. B and C, and A and C. Which pairs of events are independent