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Show that P(X′∪Y′)=1−P(X∩Y) for independent events X and Y.
Consider the independent events A and B. Let P(A)=a and P(B)=b, where a<b.
It is given that P(A′∪B′)=0.9 and P(A′∩B′)=0.4.
Using the result from part (a), find the value of ab.
Hence, or otherwise, find the value of a.
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