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Question 1 Let A, B and C in a sample space, S be the events such that P(A|C) = 0.1 and P(B|C) = 0.05. Furthermore,

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Question 1 Let A, B and C in a sample space, S be the events such that P(A|C) = 0.1 and P(B|C) = 0.05. Furthermore, under the conditional event of C, events A and B are independent. Calculate, (a) P[(An B) IC] [3 marks] (b) P[(A - B)IC] [4 marks] (c) P[(A'n B')IC] [3 marks] (d) P[(A U B) IC] [3 marks] (e) P[(A U B')|C] [4 marks]

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