Cards marked with the 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:
(i) a number which is a perfect square
(ii) a prime number less than 20.

Explanation

(i)A number which is a perfect square
Perfect square `= {2^2 , 3^2 ,............................9^2 , 10^2 }`
`n(C) = 9`
Probability that the number on the card is perfect square `= 9/100`
(ii)A prime number less than `20`
`D= {2,3 ,5 , 7 , 11 , 13 , 17 , 19 }`
`n(D) = 8`
Probability that a prime number less than `20 = 8/100 = 2/25`