5. 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. а. Calculate the probability of each individual event; that is, p(A), p(B), and p(C). b. What is p(B|A)? с. What is p(C|A)? What is p(C\B)? 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? Justify your answer. d. е.

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