A bag contains cards which are numbered form 2 to 90.

Question:

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.

Solution:

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 = 

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