Question

A box contains $20$ balls bearing numbers $1,2,3,4,,20$. A ball is drawn at random from the box. What is the probability that the number on the drawn ball is

$\left(i\right)$an odd number

$\left(ii\right)$divisible for $2$ or $3$

Answer 1

Total number of outcomes$=20$

$\left(i\right)$Odd number between $1$ to $20$ are $1,3,5,7,9,11,13,15,17,19$

Thus, $P\left(Gettinganoddnumber\right)=\frac{10}{20}=\frac{1}{2}$

$\left(ii\right)$Number divisible between $2$ or $3$ are $2,3,4,6,8,9,10,12,14,15,16,18,20$

Thus, $P\left(Gettinganumberdivisibleby2or3\right)=\frac{13}{20}$