A three digit integer is selected at random what is the probability that the number is selected is a perfect square

Total number of outcomes = 100-999 = 900 outcomes

lowest perfect square = 100

highest perfect square = √1000 ≈ 31.5

= 31^2 = 961

So; No of perfect squares = 10-31 = 22

So; probability of getting a perfect square = 22/900 = 11/450