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

{1, 2, 3}

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{1, 2, 3, 4}

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

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{1, 3, 5}

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Solution

The correct option is B ${1, 2, 3, 4}$
When we get $1$ , number of positive divisors are $1$
When we get $2$ , number of positive divisors are $2$
When we get $3$ , number of positive divisors are $2$
When we get $4$ , number of positive divisors are $3$
When we get $5$ , number of positive divisors are $2$
When we get $6$ , number of positive divisors are $4$
Hence range of random variable $X$ is { $1, 2, 3, 4$ }
Therefore Answer is $B$

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