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Question

A die is rolled. If X denotes the number of positive divisors of the outcomes then the range of the random variable X is


A

{1,2,3}

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B

{1,2,3,4}

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C

{1,2,3,4,5,6}

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D

{1,3,5}

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Solution

The correct option is B

{1,2,3,4}


Explanation of the correct option

If a die is rolled, the possible outcomes are {1,2,3,4,5,6}

Here, the random variable X is number of positive divisors of the outcomes.

Hence, the possible outcomes with their positive divisors are as follows:

OutcomesPositive divisorsNumber (X)
111
21,22
31,32
41,2,43
51,52
61,2,3,64

Therefore, the range of the random variable X is {1,2,3,4}.

Hence, Option B is correct.


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