Suppose that we win $\$2$ if we flip a heads on a coin toss, but lose $\$1$ if we flip tails.  What is the expected value, in dollars, of our winnings after one flip?
Question:
Suppose that we win $\$2$ if we flip a heads on a coin toss, but lose $\$1$ if we flip tails.  What is the expected value, in dollars, of our winnings after one flip?
Answer:
Let's think step by step.

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Suppose that we win $\$2$ if we flip a heads on a coin toss, but lose $\$1$ if we flip tails.  What is the expected value, in dollars, of our winnings after one flip?
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