Cards marked with numbers 13,14,15...,60 are placed in a box and miced thoroughly.One card is drawn at random from the box.Find the probability that the number on the card is (a) divisible by 5 (b) a number which is a perfect square
Total number of cards = 48
a)
The cards divisible by 5 are 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60.
Total number of cards divisible by 5 = 10
Required probability = Total number of cards divisible by 5/Total number of cards = 10/48 = 5/24
b)
The cards with numbers which are perfect squares are 16, 25, 36 and 49.
Total number of cards with perfect square number = 4
Required probability = Total number of cards with perfect square number/Total number of cards = 4/48 = 1/12
a)
The cards divisible by 5 are 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60.
Total number of cards divisible by 5 = 10
Required probability = Total number of cards divisible by 5/Total number of cards = 10/48 = 5/24
b)
The cards with numbers which are perfect squares are 16, 25, 36 and 49.
Total number of cards with perfect square number = 4
Required probability = Total number of cards with perfect square number/Total number of cards = 4/48 = 1/12