Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is
(a) a number less than 14
(b) a number which is a perfect square
(c) a prime number less than 20.
Total number of cards in the box = 100 (a) Numbers less than 14 are
2, 3,4, 5. 6, 7, 8, 9, 10, 11,12, 13 Their number =12
∴ Probability that the number on the card is a number less than 14
(b) Perfect square numbers are
4, 9, 16,25, 36,49, 64,81, 100 Their number = 9
∴ Probability that the number on the card is a number which is a perfect square
(c) Prime numbers less than 20 are 2, 3, 5,7, 11, 13, 17, 19 Their number = 8
∴ Probability that the number in the card is a prime number less than 20
