Question

There are $30$ tickets in a box numbered from $1$ to $30$. A ticket is drawn out at random. Let $A$ be the event that the number on the ticket is a multiple of $6$. Write the sample set $S$ and outcomes of event $A$ in set form.

Answer 1

There are $30$ tickets in a box
A ticket is drawn
Sample space $\left(S\right)=\{1,2,3,4,5,......30\}$
$n\left(S\right)=30$
Let $A$ is the event that the number is a multiple of $6$
$\therefore$ $A=\{6,12,18,24,30\}$
$\therefore$ $n\left(A\right)=5$