Question

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

Answer 1

Given that there are $30$ tickets in a box and a ticket is drawn:
If $S$ be the sample space,
$S=\{1,2,3,.......30\}$

Number of elements in $S$:
$\therefore$ $n\left(S\right)=30$

If $A$ be the event that the ticket bears a number which is a perfect square,
$A=\{1,4,9,16,25\}$

Number of elements in $A$:
$\therefore$ $n\left(A\right)=5$