what is the probability that a positive integer less than or equal to $24$ is a factor of $24$? express your answer as a common fraction.

Answer :

The probability that a positive integer less than equal to 24 is a factor of 24 is 1/3.

To solve the question, we need to first list all factors of 24.

Factor of 24 are 1 2 3 4 6 8 12 24.

There are 8 factors of 24 which are less than or equal to 24.

Probability of happening of certain event is calculated as number of favorable events divided by total events.

There are total 24 positive integers.

Favorable events are 8.

So the probability of getting a positive integer less than or equal to 24 which is a factor of 24 is 8/24.

=1/3

Therefore, the probability is 1/3.

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