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 17 of the 61 boxes on the shelf have the secret decode
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-> 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 17 of the 61 boxes on the shelf have the secret decode
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Question 1066134: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 17 of the 61 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? Found 2 solutions by Boreal, KMST:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! (17/61)(16/60), since the probability changes after the first box has been looked at.
=272/3660=0.0743
You can put this solution on YOUR website! Imagine that someone used invisible ink to label each box with a number,
and knows that boxes number 1 through 17 have decoder rings,
while boxes number 18 through 61 have other gifts.
There are possible sets of two boxes that you could select,
but there are only possible sets of two boxes with decoder rings.
The fraction of possible pairs of boxes where both boxes have the secret decoder ring is
The probability that both of the boxes you select had decoder rings is
about (rounded).
