[Solution] A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. It costs $5 to play, and you are willing
Question: A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. It costs $5 to play, and you are willing to spend up to $20 trying to win. You estimate that you have about a 10% chance of hitting the balloon on any throw.
- Create a probability model for this carnival game [ Hint : Give the model in the form of a probability distribution table].
- Find the expected number of darts you will throw.
- Find your expected winnings.
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