# Cards marked with numbers 13, 14, 15, ..., 60 are placed in a box and mixed thoroughly

Question:

Cards marked with numbers 13, 14, 15, ..., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is

(i) divisible by 5

(ii) a number is a perfect square

Solution:

GIVEN: Cards are marked with numbers 13 to 60 are placed in a box and mixed thoroughly. If one card is drawn at random from the box

TO FIND: Probability that it bears

(i) A number divisible by 5

(ii) A perfect square

Total number of cards is (i) Cards marked with a number divisible by 5 are

15, 20, 25, 30, 35, 40, 45, 50, 55 and 60

Total numbers of cards marked numbers divisible by 5 from 13 to 60 is 10

We know that PROBABILITY = Hence probability of getting card marked with numbers divisible by 5 from 13to60 is (ii) Cards marked a perfect squared numbers are 16, 25, 36 and 49

Total number of disc marked with perfect square from 13 to 60 is 4

We know that PROBABILITY = Hence probability of getting disc marked with perfect square numbers from 13 to 60 is 