Question

A box contains cards numbered 11 to 123.A card is drawn at random from the box.
Find the probability that the number on the drawn card is:
i) a square number
ii) a multiple of 7

Answer 1

Square numbers from 11 to 123 = 16, 25, 36, 49, 64, 81, 100 and 121

Total square number from 11 to 123 = 8

Total cards numbered from 11 to 123 = 113

i) P(a square number) = 8/113

Multiples of 7 from 11 to 123 = 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119

Total multiples of 7 from 11 to 123 = 16

ii) P(a multiple of 7) = 16/113