Question

The probability that a number selected at random from the numbers 1, 2, 3,..., 15 is a multiple of 4, is
(a) $\frac{4}{15}$ (b) $\frac{2}{15}$ (c) $\frac{1}{5}$ (d) $\frac{1}{3}$

Answer 1

Given numbers are 1,2,3,4,........., 15.

Total number of possibilities = 15.

Multiple of 4 are { 4,8,12}

Number of favourable out comes = 3
Probability that a number selected at random from the numbers is a multiple of 4 $=\frac{3}{15}=\frac{1}{5}$

answer:- (c) $\frac{1}{5}$