The probability that a number selected at random from the set of numbers $(1,2,3, \ldots, 100)$ is a cube, is
The probability that a number selected at random from the set of numbers $(1,2,3, \ldots, 100)$ is a cube, is
$\frac{1}{25}$
$\frac{2}{25}$
$\frac{3}{25}$
$\frac{4}{25}$
Solution
$n(S)=100$
The set of cube numbers $A=\left\{1^3, 2^3, 3^3, 4^3\right\}$
Total number in favour $n(A)=4$
Required probability $=\frac{n(A)}{n(S)}=\frac{4}{100}=\frac{1}{25}$