Expected Value- Open Middle Problem

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Directions: Using the following US Currency denominations ($1, $2, $5, $10, and $20), at most twice each, fill in the blanks to make the situation true.

You pay ___ to pick one bill out of a bag.  The bag contains the following bills: ___, ___, ___ and ___.  Your expected winnings is between ___ and ___.

 

What bills are in the bag if your expected winnings is between $5 and $10?

What bills are in the bag if your expected winnings is between -$5 and -$1?

Explain how the cost of playing the game effects expected winnings.

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