a pair of dice are rolled and the sum is recorded. What is the probability that the sum shown is 8 given that one die is showing 5?

Is this done correctly?
P(8|5)=1/6 x 1/6= 1/36
I really just want to make sure I have done this the right way!

If you already have a five, the probability of getting a 3 to sum 8 is 1/6.