Question

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

Answer 1

Since,

Cards marked with numbers 13, 14, 15, ….60. 

Therefore,

Total number of cards = 60-12 = 48 

Perfect squares lie in the sequence 13, 14…...,60 are 16, 25, 36, 49. 

Total number of perfect squares lies in 13 – 60 range = 4. 

Hence,

Probability of getting perfect squares 

= \(\frac{Total\,perfect\,squares\,in\,the\,range\,13-60}{Total\,number\,of\,cards}\) 

= \(\frac{4}{48}\) 

= \(\frac{1}{12}\).