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MATH / Suppose that we win 3 if we flip a heads on a coin toss, but lose 2 if we flip tails. What is the expected value, in dollars, of our winnings after one flip?

Problem

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problem

Suppose that we win $3\$3 if we flip a heads on a coin toss, but lose $2\$2 if we flip tails. What is the expected value, in dollars, of our winnings after one flip?
Plain-text mathematical notation (without MathML)
Suppose that we win $3 if we flip a heads on a coin toss, but lose $2 if we flip tails.  What is the expected value, in dollars, of our winnings after one flip?
Original LaTeX notation
Suppose that we win $\$3$ if we flip a heads on a coin toss, but lose $\$2$ if we flip tails.  What is the expected value, in dollars, of our winnings after one flip?

level

Level 2

type

Counting & Probability

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Source and history

task_id
3f7095a7-478c-594a-a91c-92dc74aca0c3
task_key
counting~5fand~5fprobability--test--3f7095a7-478c-594a-a91c-92dc74aca0c3
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import