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 13 of the 57 boxes on the shelf have the secret decoder ring. The other 44 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

Answer:

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169/2209 OR 7.22%

Step-by-step explanation:

[probability that both have the secret decoder ring]=(13/47)*(12/46)

[probability that both have the secret decoder ring]=(156/2162)

[probability that both have the secret decoder ring]=0.0722-------> 7.22%

the answer is 0.0722 (7.22%)

Answer 2

Answer:

13/266

Step-by-step explanation:

13C2/57C2 = 13/266

Alternately,

13/57 × 12/56 = 13/266

13/266 = 0.04887