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 23 of the 44 boxes on the shelf have the secret decoder ring. The other
21 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

529/1936

Step-by-step explanation:

The chance that there would be a secret decoder ring in one is 23/44. The probability that it'll be in both boxes can be found by multiplying the chances in the case of the two boxes. For box A, the chance is 23/44. For box B, the chance is also 23/44. So when you multiply them, you have 529/1936.