You have 9 pieces of wood of different lengths that you are attempting to glue together that will have a length of exactly 10 inches. The wood lengths are 1 inch, 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, 7 inches, 8 inches, and 9 inches. What is the probability that you randomly choose one piece of wood keep it then randomly choose the second one to give you a total length of 10 inches.

Explain how you arrived at the above probabilities.