Consider rolling two fair dice. Let A be the event that the first die is greater than 4. Let B be the event that the sum of the two dice is 6. Let C be the event that the sum of the two dice is 7. 1. Find P(A). 2. Find P(B) 3. Find P(C). 4. Find P(B|A). 5. Find P(A|B). 6. Find P(C|A). 7. Find P(A|C). 8. Find P(AB). 9. Find P(AUB). 10. Find P(AC). 11. Find P(AUC). 12. Are the events A and B mutually exclusive? 13. Are the events B and C mutually exclusive? 14. Are the events A and B independent? 15. Are the events A and C independent? 16. Are the events B and C independent?