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 drawn card is
(i) divisible by 5.
(ii) a number which is a perfect square.

Answer 1

Answer:

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Numbers :

13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30, 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 41, 42 , 43 , 44 , 45 , 46 , 47, 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 .

Total number = 48

divisible by 5 :

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

number of outcomes = 10

perfect square = 16 , 25 , 36 , 49

number of outcomes = 4

1.) P ( Divisible by 5 ) = 10 / 48

= 5 / 24

2.) P ( Perfect square ) = 4 / 48

= 1 / 12