Answer to Question #329286 in Statistics and Probability for jeremy

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 12 of the 57 boxes on the shelf have the secret decoder ring. The other 45 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

$P=\cfrac{12} {57} \cdot\cfrac{11}{56}=\cfrac{33}{798}=0.0414.$