A bag contains cards which are numbered form 2 to 90. A card is drawn at random from the bag. Find the probability that it bears
(i) a two digit number
(ii) a number which is a perfect square.
GIVEN: Cards are marked with one of the numbers 2 to 90 are placed in a bag and mixed thoroughly. One card is picked at random.
TO FIND: Probability of getting
(i) a two digit number
(ii) a number which is a perfect square
Total number of cards is
.
(i) Cards marked two digit starts from 10
Total number of cards marked two digits from 10 to 90 is 
We know that PROBABILITY = 
Hence probability of getting a two digit card =
(ii) Cards which are perfect square form 2 to 90 are 4,9,16,25,36,49,64,81
Total number of cards marked perfect square from 2 to 90 are 8
We know that PROBABILITY =
Hence probability of getting perfect square card = 