28. Dartboard. The following figure shows a dartboard. A dart is thrown and hits the board. Find the follow- ing probabilities. а) Р (red) b) P (green) c) P (blue) d) P (yellow) R Y R G Y G B.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Dartboard Probability Problem**

The following figure shows a dartboard divided into various colored sections. A dart is thrown and hits the board. Find the probability of the dart landing on each color, given as a percentage of the board.

The objective is to calculate the probability of hitting the following color areas:

a) \( P \) (red)  
b) \( P \) (green)  
c) \( P \) (blue)  
d) \( P \) (yellow)

**Diagram Explanation:**

The dartboard is divided into several rectangular sections, each colored either red (R), green (G), blue (B), or yellow (Y). The sections are arranged in a grid pattern as follows:

- **Top row**: Red (R), Blue (B), Yellow (Y)
- **Middle row**: Green (G), Blue (B)
- **Bottom row**: Yellow (Y), Red (R), Green (G)

To calculate the probability of landing on each color, count the number of sections occupied by each color and divide by the total number of sections.

This problem requires understanding basic probability concepts and calculating the fractional area each color occupies on the dartboard.
Transcribed Image Text:**Dartboard Probability Problem** The following figure shows a dartboard divided into various colored sections. A dart is thrown and hits the board. Find the probability of the dart landing on each color, given as a percentage of the board. The objective is to calculate the probability of hitting the following color areas: a) \( P \) (red) b) \( P \) (green) c) \( P \) (blue) d) \( P \) (yellow) **Diagram Explanation:** The dartboard is divided into several rectangular sections, each colored either red (R), green (G), blue (B), or yellow (Y). The sections are arranged in a grid pattern as follows: - **Top row**: Red (R), Blue (B), Yellow (Y) - **Middle row**: Green (G), Blue (B) - **Bottom row**: Yellow (Y), Red (R), Green (G) To calculate the probability of landing on each color, count the number of sections occupied by each color and divide by the total number of sections. This problem requires understanding basic probability concepts and calculating the fractional area each color occupies on the dartboard.
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