### 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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Probability

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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Probability of the Union of Two Sets Conceptual Overview: Explore how the probability of the union of two events equals the probability that either event occurs. The two circles shown below represent two events, A and B. The area of each circle represents the probability of the event. With no overlap you can see that the probability of one or the other of the two events (the union of A and B) written as P(A U B) is the sum of their probabilities. The union is often described as an "OR" statement. The union is the probability of A occurring OR B occurring OR both A and B occurring simultaneously (their intersection). Drag one of the circles so that the circles begin to overlap. You will see that the probability of the union decreases because some probability is included in both sets (their intersection). You can also drag the letter for each set to change its size and thus its probability. P(A) = 0.129, P(B) = 0.067, P(A U B) = 0.195 B