Question

Cards on which numbers 1,2,3 ,....100 are written (one number on ore card and no number is repeated). Put in a bag and are mixed thoroughly. A card is drawn at random from the bag. Find the probability that card taken out has.

(i) An even number

(ii) A number which is a multiple of 13.

(iii) A perfect square number

(iv) A prime number less than 20.

Answer 1

Total number of possible outcomes = 100

(i) even numbers 1 to 100 = 50

.^. . P(card taken out has an even number)

= 50/100 = 1/2