Short Quiz

Question 1 of 5

NCERT Exemplar

If \(P(B)=3/5\), \(P(A\mid B)=1/2\), and \(P(A\cup B)=4/5\), then \(P((A\cup B)^{\prime})+P(A^{\prime}\cup B)\) equals

A \(1/5\) B \(4/5\) C \(1/2\) D \(1\)

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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

Let A and B be two events such that P(A)=0.4, P(A \(\cup\) B)=0.7 and P(B) = p. For what choice of p are A and B independent ?

A \(\frac{1}{2}\) B \(\frac{1}{3}\) C \(\frac{3}{4}\) D \(\frac{5}{6}\)

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Question 4 of 5

NCERT Exemplar

If two events are independent, then

A they must be mutually exclusive B the sum of their probabilities must be 1 C both (a) and (b) are correct D none of the above is correct

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Question 5 of 5

CBSE Board Exam 2025

The probability distribution of a random variable X is given by :

X	-4	-3	-2	-1	0
\(\mathrm{P}(\mathrm{X})\)	0.1	0.2	0.3	0.2	0.2

Then \(\mathrm{E}(\mathrm{X})\) of distribution is

A -1.8 B -1 C 1 D 1.8

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Class 6