Question

A bag contains $12$ balls which are numbered from $1$ to $12$. If a ball is selected at random, what is the probability that the number of the ball will be a multiple of $5$ or $6$?

• A. $0.30$
• B. $0.25$
• C. $0.20$
• D. $\frac{1}{3}$

Answer 1

The correct option is D $\frac{1}{3}$

Given: Total number of balls, $n\left(S\right)=12$

To find: the probability that the number printed on the ball would be a multiple of $5$ or $6$

Sol: Multiple of $5$ or $6$ between $1$ to $12$ are $5,6,10,12$, $n\left(E\right)=4$

Hence, the probability that the number of the ball will be a multiple of $5$ or $6$,

$\frac{4}{12}=\frac{1}{3}$