Engineering
Mathematics
Conditional Probability
Question

Let A and B be two sets such that n(A) = 70, n(B) = 90 and n(A ⋃ B) = 110. Then n(A ⋂ B) equals

0

20

100

120

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Solution
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n(A ⋃ B) + n(A) + n(B) – n(A ⋂ B)

110 = 70 + 60 – n(A ⋂ B)

⇒ n(A ⋂ B) = 20

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