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2.3.10 Conditional probabilities (A-level only)

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Question 37

The events A A\,A and B B\,B are such that P(A)=0.3P(A) = 0.3P(A)=0.3 and P(A∪B)=0.7P(A \cup B) = 0.7P(A∪B)=0.7.

a.

Find P(A′∩B′)P(A' \cap B')P(A′∩B′).

[2]
b.

Find P(A′∩B)P(A' \cap B)P(A′∩B).

[2]
c.

Given also that the events A A\,A and B B\,B are independent, find P(B)P(B)P(B).

[4]
d.

Find P(A′∪B′)P(A' \cup B')P(A′∪B′).

[2]

2.3.10 Conditional probabilities (A-level only) Questions

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