A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is:

(I) an odd number

(ii) a multiple of 5

(ii) a perfect square

(iv) an even prime number

Total number of cards = 49

We know that the theoretical (classical) probability of an event E, written as P (E), is defined as P (E) = Number of outcomes favorable to E / Number of all possible outcomes of the experiment

(i) Odd number:

Odd numbers are 1, 3, 5, …., 49, i.e., 25

P (an odd number) =

(ii) Multiple of 5:

‘A multiple of 5’ numbers are 5, 10, 15, …., 45, i.e., 9

P (a multiple of 5) =

(iii) Perfect square:

“A perfect square” numbers are 1, 4, 9, …., 49, i.e.., 7

P (a perfect square number) =

(iv) Even prime number:

“An even prime number” is 2, i.e., only one number

P (an even prime number) =