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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're 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. Find the expected profit for your winnings. Find the expected number of darts you'll throw.

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A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it...
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