• # question_answer Cards marked with numbers 13, 14, 15,........60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is (i) divisible by 5. (ii) a number which is a perfect square. A) (i) (ii)  $\frac{5}{24}$ $\frac{1}{24}$ B) (i) (ii)  $\frac{5}{24}$ $\frac{1}{12}$ C) (i) (ii)  $\frac{1}{12}$ $\frac{5}{12}$ D) (i) (ii)  None of these

Outcomes are 13, 14, 15,......., 60. Total number of possible outcomes $=60-12=48$ The numbers divisible by 5 are 15, 20, 25, 30, 35, 40, 45, 50, 55, 60. Thus, the number of numbers divisible by 5 =10 Required probability $=\frac{10}{48}=\frac{5}{24}$ (ii) Perfect square numbers are 16, 25, 36, 49; Thus, the number of perfect square number = 4 Required probability $=\frac{4}{48}=\frac{1}{12}$