Statistics Probability.

Question

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assured you that 16 of the 47 boxes on the shelf have a secret decoder ring. The other 31 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 has to be at least 3 decimal places.

probability =

Answer 1

Here, I would use the approach that, at first grab, you have a 16/47 chance of getting a decoder ring, and at second grab, you would have 15/46. You can multiply these together to get an answer:

(15 * 16) / (46 * 47) = .111, or 11.1%