You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y= the event of landing on yellow. a. b. If you land on Y, you get the biggest prize. Find P(Y). If you land on red, you don't get a prize. What is P(R)?
You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y= the event of landing on yellow. a. b. If you land on Y, you get the biggest prize. Find P(Y). If you land on red, you don't get a prize. What is P(R)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Probability and Games of Chance
**Game Setup**:
You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.
**Color Wheel Representation**:
- The image shows a circular color wheel divided into 8 equal sections.
- The sections are colored: red, blue, green, and yellow.
- Each color appears twice around the wheel.
**Events Definition**:
- Let \( B \) = the event of landing on blue.
- Let \( R \) = the event of landing on red.
- Let \( G \) = the event of landing on green.
- Let \( Y \) = the event of landing on yellow.
**Questions**:
a. If you land on \( Y \), you get the biggest prize. Find \( P(Y) \).
\[ \text{Answer:} \quad P(Y) = \frac{\text{Number of yellow sections}}{\text{Total number of sections}} = \frac{2}{8} = \frac{1}{4} \]
b. If you land on red, you don’t get a prize. What is \( P(R) \)?
\[ \text{Answer:} \quad P(R) = \frac{\text{Number of red sections}}{\text{Total number of sections}} = \frac{2}{8} = \frac{1}{4} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faed2933e-b67f-42a0-9fac-b6dce0e828b0%2Ff1ad10c6-1f91-4cb2-b282-c4fe1b950f73%2Fwdjbqt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability and Games of Chance
**Game Setup**:
You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.
**Color Wheel Representation**:
- The image shows a circular color wheel divided into 8 equal sections.
- The sections are colored: red, blue, green, and yellow.
- Each color appears twice around the wheel.
**Events Definition**:
- Let \( B \) = the event of landing on blue.
- Let \( R \) = the event of landing on red.
- Let \( G \) = the event of landing on green.
- Let \( Y \) = the event of landing on yellow.
**Questions**:
a. If you land on \( Y \), you get the biggest prize. Find \( P(Y) \).
\[ \text{Answer:} \quad P(Y) = \frac{\text{Number of yellow sections}}{\text{Total number of sections}} = \frac{2}{8} = \frac{1}{4} \]
b. If you land on red, you don’t get a prize. What is \( P(R) \)?
\[ \text{Answer:} \quad P(R) = \frac{\text{Number of red sections}}{\text{Total number of sections}} = \frac{2}{8} = \frac{1}{4} \]
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