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What is the probability of getting white?

What is the probability of getting white?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Probability in Mathematics** **Question: What is the probability of getting white?** The image depicts a grid consisting of 5 columns and 5 rows, forming a total of 25 squares. Out of these 25 squares, certain squares are colored yellow, while the remaining squares are white. To determine the probability of randomly selecting a white square from this grid, follow these steps: 1. **Count the Total Number of Squares**: The grid comprises 5 rows and 5 columns, giving us a total of 25 squares (5 x 5 = 25). 2. **Count the Number of White Squares**: Observe the grid carefully and count all the squares that are white. 3. **Calculate the Probability**: - Formula for Probability: \( P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \) - In this case, the event of interest is selecting a white square, so: \( P(\text{white}) = \frac{\text{Number of white squares}}{25} \) 4. **Simplify the Probability**: If necessary, simplify the fraction to its lowest terms to find the final probability. _Note: The actual counting of yellow and white squares should be done based on the viewed grid in the image._ This exercise demonstrates the basic principles of probability, which is a fundamental concept in mathematics often applied in various fields such as statistics, finance, and game theory. Understanding how to calculate probability helps in making informed predictions and decisions in real-world scenarios.
Transcribed Image Text:**Probability in Mathematics** **Question: What is the probability of getting white?** The image depicts a grid consisting of 5 columns and 5 rows, forming a total of 25 squares. Out of these 25 squares, certain squares are colored yellow, while the remaining squares are white. To determine the probability of randomly selecting a white square from this grid, follow these steps: 1. **Count the Total Number of Squares**: The grid comprises 5 rows and 5 columns, giving us a total of 25 squares (5 x 5 = 25). 2. **Count the Number of White Squares**: Observe the grid carefully and count all the squares that are white. 3. **Calculate the Probability**: - Formula for Probability: \( P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \) - In this case, the event of interest is selecting a white square, so: \( P(\text{white}) = \frac{\text{Number of white squares}}{25} \) 4. **Simplify the Probability**: If necessary, simplify the fraction to its lowest terms to find the final probability. _Note: The actual counting of yellow and white squares should be done based on the viewed grid in the image._ This exercise demonstrates the basic principles of probability, which is a fundamental concept in mathematics often applied in various fields such as statistics, finance, and game theory. Understanding how to calculate probability helps in making informed predictions and decisions in real-world scenarios.
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