SOLUTION: A carnival gave 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. Yo

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Question 276801: A carnival gave 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 10% chance of hitting the balloon on any throw.

1. Create a probability model for this carnival game.
2. Find the expected number of darts you'll throw.
3. Find your expected winnings.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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 10% chance of hitting the balloon on any throw.
1. Create a probability model for this carnival game.
2. Find the expected number of darts you'll throw.
3. Find your expected winnings.
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Question:
Does he stop playing after winning a game or does he
only stop after playing four games?
Cheers,
Stan H.