Question

There are $30$ tickets numbered from $1$ to $30$ in a box. A ticket is drawn at random from the box and if $A$ is the event that the number on the ticket is a multiple of five, write the sample space $S$, $n\left(S\right)$, the event $A$ and $n\left(A\right)$.

Answer 1

There are $30$ tickets in a box.
Sample space $\left(S\right)=\{1,2,3,4,.........,30\}$
$n\left(S\right)=30$
Let $A$ is the event that the number on the ticket is a multiple of $5$
$\therefore$ $A=\{5,10,15,20,25,30\}$
$\therefore$ $n\left(A\right)=6$