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Two dice are rolled. Consider the following 3 events: 0 A = 'sum of two dice equals 3' o B = 'sum of two dice

Two dice are rolled. Consider the following 3 events: 0 A = 'sum of two dice equals 3' o B = 'sum of two dice equals 7' o C = 'at least one of the dice shows a 1' Answer the following questions: (a) What are the sample space and the events A, B, and C? (b) What is P(A|C)? (c) What is il\"(B|C)? (d) Are A and C independent? What about B and C

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