Question

Find the probability that a randomly chosen number from 1 to 12 is a divisor of 12

Answer 1

Answer:

The probability that a randomly chosen number from 1 to 12 is a divisor of 12 = $\frac{1}{2}$

Explanation:

Total possible outcomes = {1,2,3,4,5,6,7,8,9,10,11,12}

Number of total possible outcomes (S) = 12

Favourable outcomes = {1,2,3,4,6,12}

/* Divisors of 12 = {1,2,3,4,6,12}*/

Number of favourable outcomes (E) = 6

Probability of a randomly chosen number from 1 to 12 is a divisor of 12 = $\frac{E}{S}$

= $\frac{6}{12}$

= $ \frac{1}{2}$

Therefore,

The probability that a randomly chosen number from 1 to 12 is a divisor of 12 = $\frac{1}{2}$

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