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 less than $16$.

Answer 1

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

Total number of tickets $=100$

Numbers less than $16$ from $2$ to $101=2,3,4,5,6,7,8,9,10,11,12,13,14,15$

Total number of numbers less than $16=14$

Probability is given by,

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

$P$ ( getting a number less than $16)=\frac{14}{100}=\frac{7}{50}$.