Question

Tickets numbered $2,3,4,5,.....,100,101$ are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a number which is a perfect square.

Answer 1

Tickets numbered $2,3,4,\mathrm{5...},100,101$

Total number of tickets $=100$

Perfect square from $2$ to $101=4,9,16,25,36,49,64,81,100$

Total number of perfect squares $=9$

Probability is given by,

$P\left(A\right)$$=\frac{\text{no. of possible outcomes}}{\text{No. of total outcomes}}$

$P$ ( getting a perfect square ) $=\frac{9}{100}$.