Suppose we choose 2 integers from 1, 2, 3, ..., 9. What is the probability that they are both odd?
The odd integers in this set are 1, 3, 5, 7, and 9.
The probability of the first integer being odd is 5/9.
The probability of the second integer being odd is 4/8=1/2.
So the probability they are both odd is 5/9 * 1/2= 5/18.