A two digit number is chosen at random. Find the probability that the number is a perfect square
There are a total of 90 two-digit numbers (from 10 to 99).
The perfect squares between 10 and 99 are: 16, 25, 36, 49, 64, 81.
So there are 6 perfect squares between 10 and 99.
Therefore, the probability of choosing a perfect square is 6/90 = 1/15.
So, the probability of choosing a perfect square number is 1/15.