SOLUTION: 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 59 boxes on the shelf have the secret deco

Algebra ->  Probability-and-statistics -> SOLUTION: 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 59 boxes on the shelf have the secret deco      Log On


   



Question 1182242: 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 59 boxes on the shelf have the secret decoder ring.
The other 46 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?
Round to at least 3 decimal places

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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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 59 boxes on the shelf have the secret decoder ring.
The other 46 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?
Round to at least 3 decimal places
~~~~~~~~~~~~~~~~~

The probability is  13%2F59  to randomly get the decoder ring in the first box.


After that, the probability is  12%2F58  to randomly get the decoder ring in the second box.


The probability to get the decoder ring in the first AND the second box is the product


    P = %2813%2F59%29%2A%2812%2F58%29 = 0.045587.


Round it as you need.

Solved.