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JEE MATHEMATICS MCQ: PROBABILITY

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Consider the experiment of rolling a die. Let

{A}

be the event 'getting a prime number' and

B

be the event 'getting an odd number'.

Then, which of the following is true?

I.

{A}

or

{B}={A} \cup {B}=\{1,2,3\}

II.

{A}

and

{B}={A} \cap {B}=\{3,5\}

III.

{A}

but not

{B}={A}-{B}=\{2\}

IV.Not

{A}={A}^{\prime}=\{1,5,6\}

View answer and explanation

Correct option: C

II and III is true

Option C (II and III is true) is correct because the intersection of A and B is {3, 5}, and A - B is {2}, given A = {2, 3, 5} and B = {1, 3, 5}.

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