Question

Let \(A\) and \(B\) two events such that \(P(A \cap B)=\frac{1}{6}, P(A \cup B)=\frac{31}{45}\) and \(P(\bar{B})=\frac{7}{10}\) then
(A) \(A\) and \(B\) are independent
(B) \(A\) and \(B\) are mutually exclusive
(C) \(\mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)<\frac{1}{6}\)
(D) \(P\left(\frac{B}{A}\right)<\frac{1}{6}\)

Answer 1

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