Basic probability is number of favorable outcomes/ total number of outcomes Example and exercises: A round spinner has equal sectors A, B, C, D, E What is the probability of spinning a vowel? 2 favorable/ 5 total = 2/5 What is the probability of spinning a passing grade (A,B,C)? What is the probability of not spinning a B?
Basic probability is number of favorable outcomes/ total number of outcomes Example and exercises: A round spinner has equal sectors A, B, C, D, E What is the probability of spinning a vowel? 2 favorable/ 5 total = 2/5 What is the probability of spinning a passing grade (A,B,C)? What is the probability of not spinning a B?
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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Transcribed Image Text:### Basic Probability Concepts for Educational Purposes
**Definition:**
Basic probability is the number of favorable outcomes divided by the total number of outcomes.
**Example and Exercises:**
Consider a round spinner that has five equal sectors labeled as A, B, C, D, and E. Here are a few questions to explore probability with this spinner:
1. **What is the probability of spinning a vowel?**
- **Calculation:** The favorable outcomes (vowels) are A and E. Therefore, there are 2 favorable outcomes. The total number of sectors is 5.
- **Probability:** \( \frac{2}{5} \)
2. **What is the probability of spinning a passing grade (A, B, C)?**
- **Calculation:** The favorable outcomes (passing grades) are A, B, and C. Therefore, there are 3 favorable outcomes. The total number of sectors is 5.
- **Probability:** \( \frac{3}{5} \)
3. **What is the probability of not spinning a B?**
- **Calculation:** The outcome of not spinning a B includes sectors A, C, D, and E. Therefore, there are 4 favorable outcomes. The total number of sectors is 5.
- **Probability:** \( \frac{4}{5} \)
This set of exercises helps in understanding basic probability calculations by identifying favorable outcomes and dividing by the total number of possible outcomes.
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