4. When two fair dice are rolled, the sum of the dice can be (2, 3,...
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4. When two fair dice are rolled, the sum of the dice can be (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12). Let A be the event the sum of the dice is 12 and B be the event one of the dice rolls a 2. a. What is P(A)? b. What is P(B)? c. What is P(A N B)? d. Are A and B independent events? Explain your reasoning. 4. When two fair dice are rolled, the sum of the dice can be (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12). Let A be the event the sum of the dice is 12 and B be the event one of the dice rolls a 2. a. What is P(A)? b. What is P(B)? c. What is P(A N B)? d. Are A and B independent events? Explain your reasoning.
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