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1. Let P(A) = 0.5, P(B) = 0.6 and P(A B) = 0.8. (a) Find P(A B).

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IB Questionbank Mathematical Studies 3rd edition 1

1. Let P(A) = 0.5, P(B) = 0.6 and P(A  B) = 0.8.

(a) Find P(A  B).

(2)

(b) Find P(A│B).

(2)

(c) Decide whether A and B are independent events. Give a reason for your answer.

(2) (Total 6 marks)

2. For events A and B, the probabilities are P(A) = 13

4 and P(B) = 13

5 .

(a) If events A and B are mutually exclusive, write down the value of P (A  B).

(1)

(b) If events A and B are independent, find the value of P (A  B).

(2)

(c) If P(A  B) = 13

7 , find the value of P(A  B).

(3) (Total 6 marks)

3. Events A and B have probabilities P(A) = 0.4, P (B) = 0.65, and P(A  B) = 0.85.

(a) Calculate P(A  B).

(b) State with a reason whether events A and B are independent.

(c) State with a reason whether events A and B are mutually exclusive.

(Total 6 marks)

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