There are 89 houses in a neighborhood with 11 of your friends owning a house in that neighborhood. What is the probability that you randomly select 2 houses both belonging to your friends? Round to the nearest thousandths.

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.