Source : https://ph.answers.yahoo.com/question/index?qid=20150324171937AAttqqB

Macedoi, although you copied the solution from the source, do you understand it ? Explain us. Make sure that you understand the solution before copying it.

 positive integers less than 10 are: {1,2,3,4,5,6,7,8,9} 
So if you pick 2 of them, you end up with a subset of integers from 12 through 98, and there are 9 x 8 = 72 possible combinations (no 10's and no multiples of 11). 

The perfect squares between 12 and 98 are 16, 25, 36, 49, 64, and 81. 

So there are 6 out of 72 possibilities, 6/72 = 1/12 = 8.3%