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 straw 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.

(*Hint* Make a list of the combinations that will add up to 10.)


Part 1:
Express the probability of the 1st chosen piece of wood.
Express the probability of the 2nd chosen piece of wood.

Part 2:
Explain how you arrived at the above probabilities.

Part 3:
Express your result in lowest terms.