Short Quiz

Question 1 of 5

CBSE Board Exam 2026

If \(3 P(A)=P(B)=\frac{3}{5}\) and \(P(A \mid B)=\frac{2}{3}\), then \(P(A \cup B)\) is :

A \(\frac{3}{5}\) B \(\frac{1}{5}\) C \(\frac{2}{15}\) D \(\frac{2}{5}\)

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Question 2 of 5

NCERT Exemplar

If \(P(A)>0\) and \(P(B)\ne1\), then \(P(A^{\prime}\mid B^{\prime})\) equals

A \(1-P(A\mid B)\) B \(1-P(A^{\prime}\mid B)\) C \([1-P(A\cup B)]/P(B^{\prime})\) D \(P(A^{\prime})/P(B^{\prime})\)

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Question 3 of 5

NCERT Exemplar

If \(P(A)=1/2\), \(P(B)=1/3\), \(P(A\mid B)=1/4\), then \(P(A^{\prime}\cap B^{\prime})\) equals

A \(1/12\) B \(3/4\) C \(1/4\) D \(3/16\)

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Question 4 of 5

NCERT Exemplar

If \(A\) and \(B\) are two non-empty events, then

A \(P(A\mid B)=P(A)P(B)\) B \(P(A\mid B)=P(A\cap B)/P(B)\) C \(P(A\mid B)P(B\mid A)=1\) D \(P(A\mid B)=P(A)/P(B)\)

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Question 5 of 5

CBSE Board Exam 2024

Let E and F be two events such that \(\mathrm{P}(\mathrm{E})=0 \cdot 1, \mathrm{P}(\mathrm{F})=0 \cdot 3, \mathrm{P}(\mathrm{E} \cup \mathrm{F})=0 \cdot 4\), then \(P(F \mid E)\) is :

A 0.6 B 0.4 C 0.5 D 0

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