Compound Probablilites

Question

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18 of the 54 boxes on the shelf have the secret decoder ring. The other 36 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

Answer 1

C(18,2)/C(54,2) = 18*17/2!/(54*53/2!) = 17/159 = .1069