14. Carnival 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. a. Create a probability model for this carnival game. b. Find the expected number of darts you'll throw. c. Find your expected winnings. C

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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### Problem 14: Carnival Game Probability

A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. The cost to play is $5, 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 given throw.

#### Tasks:

a. **Create a probability model for this carnival game.**

b. **Find the expected number of darts you'll throw.**

c. **Find your expected winnings.** 

(Note: There are no graphs or diagrams in the provided text.)
Transcribed Image Text:### Problem 14: Carnival Game Probability A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. The cost to play is $5, 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 given throw. #### Tasks: a. **Create a probability model for this carnival game.** b. **Find the expected number of darts you'll throw.** c. **Find your expected winnings.** (Note: There are no graphs or diagrams in the provided text.)
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