5. (25 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 number on the blue die is 1. B: The sum of the numbers on the two dice is less than 4. C: The sum of the numbers on the two dice is even. a. (9 pt.) Calculate the probability of each individual event; that is, 19(4). p(B), and p(C). b. (4 pt.) What is p(B|A)? c. (4 pt.) What is p(C|A)? (4 pt.) What is p(C|B)? P- e. (4 pt.) Consider all pairs of events: A and B, A and C, and B and C. Which pairs of events are independent and which pairs of events are not independent? Justin your