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A hint to get started

Recover A from a disjoint region before using independence

A and B are independent events, with P(A∪B)=3/4P(A\cup B)=3/4 and P(A′∩B)=2/15P(A'\cap B)=2/15. Find

(i) P(A)P(A),

(ii) P(B)P(B).

[2010/NJC/II/8(modified)]

CJC · Review problems · Question 5

The union splits into A and the part of B outside A.

Read the worked solution