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in Mathematics by (80.8k points)

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 drawn card is 

(i) divisible by 5. 

(ii) a number which is a perfect square.

(i) (ii)
(A) 5/24 1/24
(B) 5/24 1/12
(C) 1/12 5/12
(D) None of these

1 Answer

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by (52.5k points)
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Best answer

The correct option is: (B)

Explanation:

 Outcomes are 13, 14,15,......., 60.

 Total number of possible outcomes = 60 - 12 = 48 

(i) The numbers divisible by 5 are 15,20,25,30, 35, 40, 45, 50, 55, 60.

Thus, the number of numbers divisible by 5 = 10 

Required Probability = 10/48 = 5/24

(ii) Perfect square numbers are 16,25,36,49 

Thus, the number of perfect square number = 4

Required probability = 4/48 = 1/12

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