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For questions 7 - 12, consider the experiment of rolling a six-sided die once and recording...

For questions 7 - 12, consider the experiment of rolling a six-sided die once and recording the outcome. This is a standard die - each of the six sides of the die contains a different number from the set of numbers {1, 2, 3, 4, 5, 6}.

7. Define event A = {1, 2} and event B = {2, 4, 5}. What is A  B? (a) {1, 2, 4, 5} (b) {2} (c) {1, 2, 2, 4, 5} (d) {1, 4, 5} (e) none of these responses

8. Refer to question 7. Compute P(A) and P(B). (a) P(A) = 1/2, P(B) = 3/4 (b) P(A) = 3/4, P(B) = 1/2 (c) P(A) = 1/3, P(B) = 1/2 (d) none of these responses

9. Refer to question 7. Compute P(A|B). (a) 1/2 (b) 1/3 (c) 3/4 (d) 2/3 (e) 1

10. Refer to question 7. Compute P(B|A). (a) 1/2 (b) 1/3 (c) 3/4 (d) 2/3 (e) 1

11. Refer to question 7. Are A and B independent? (a) Yes (b) No

12. Refer to question 7. Are A and B mutually exclusive? (a) Yes (b) No

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