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Let \(A\) and \(B\) be two independent events such that \(P(A)\) \(=\frac{1}{3}\) and \(P(B)=\frac{1}{6}\). Then, which …

Q1

Let \(A\) and \(B\) be two independent events such that \(P(A)\) \(=\frac{1}{3}\) and \(P(B)=\frac{1}{6}\). Then, which of the following is TRUE?

[JEE Main 2020, 8 Jan (Shift 1)]

a

\(P\left(\frac{A^{\prime}}{B^{\prime}}\right)=\frac{1}{3}\)

b

\(P\left(\frac{A}{B}\right)=\frac{2}{3}\)

c

\(P\left(\frac{A}{B^{\prime}}\right)=\frac{1}{3}\)

d

\(P\left(\frac{A}{A \cup B}\right)=\frac{1}{4}\)

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