question_answer

Which of the following statements is CORRECT? Cards marked with the numbers 2 to 101 are put in a box and mixed thoroughly. One card is drawn from the box.

Statement 1: Probability of prime numbers less than 20 is \[\frac{2}{25}.\]

Statement 2: Probability of perfect square is \[\frac{9}{100}.\]

A)  Only Statement-1

B)  Only Statement-2

C)  Both Statement-1 and Statement-2

D)  Neither Statement-1 nor Statement-2

Correct Answer: C

Solution :

Statement -1: Total number of outcomes = 100 Number of favourable outcomes of getting a number which is a prime less than 20 is {2, 3, 5, 7, 11, 13, 17, 19} i.e. 8. Required probability Statement-2: Number of favourable outcomes of getting a number which is a perfect square is {4, 9, 16, 25, 36, 49, 64, 81, 1000} i.e. 9 Required probability