Question

Calculate the probability that a number selected at random from the set {$2,3,7,12,15,22,72,108$} will be divisible by both $2$ and $3$.

• A. $\frac{1}{4}$
• B. $\frac{3}{8}$
• C. $\frac{3}{5}$
• D. $\frac{5}{8}$
• E. $\frac{7}{8}$

Answer 1

The correct option is B $\frac{3}{8}$

In the given set the number divisible by both $2$ and $3$ i.e numbers divisible by $6$ are $\{12,72,108\}$.

In total there are $8$ numbers in the sample set.

Therefore the required probability is $\frac{3}{8}$.