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2.3.3 Conditional probability (A-level only)

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Question 8

The events A A\,A and B B\,B are such that P(A)=0.4P(A) = 0.4P(A)=0.4, P(B)=0.5P(B) = 0.5P(B)=0.5 and P(A∣B)=0.3P(A|B) = 0.3P(A∣B)=0.3. Find

a.

P(A∩B)P(A \cap B)P(A∩B)

[2]
b.

P(B′∣A)P(B'|A)P(B′∣A)

[3]
c.

P(A′∪B)P(A' \cup B)P(A′∪B)

[2]
d.

Determine whether the events A A\,A and B B\,B are independent, give a reason for your answer.

[3]

2.3.3 Conditional probability (A-level only) Questions

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