Probability S = {0, 1,2, 3, 4, 5, 6, 7} and these two events: A {1, 2, 3}, and B = {1,3,5, 6, 7} What is the probability that A occurs? What is the probability that B occurs? What is the probability that A n B occurs? What is the probability that AUB occurs?
Probability S = {0, 1,2, 3, 4, 5, 6, 7} and these two events: A {1, 2, 3}, and B = {1,3,5, 6, 7} What is the probability that A occurs? What is the probability that B occurs? What is the probability that A n B occurs? What is the probability that AUB occurs?
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
Given the sample space:
\[ S = \{0, 1, 2, 3, 4, 5, 6, 7\} \]
And these two events:
\[ A = \{1, 2, 3\} \]
\[ B = \{1, 3, 5, 6, 7\} \]
### Questions
1. **What is the probability that \( A \) occurs?**
\[
\text{(Enter your answer here)}
\]
2. **What is the probability that \( B \) occurs?**
\[
\text{(Enter your answer here)}
\]
3. **What is the probability that \( A \cap B \) occurs?**
\[
\text{(Enter your answer here)}
\]
4. **What is the probability that \( A \cup B \) occurs?**
\[
\text{(Enter your answer here)}
\]
5. **What is the probability that \(\{\}\) occurs?**
\[
\text{(Enter your answer here)}
\]
6. **What is the probability that \( S \) occurs?**
\[
\text{(Enter your answer here)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd84c1829-b5be-42b1-ba72-3bae7a546286%2Fc76e3d88-9b46-4fb2-9e2a-c1678c5cd7c1%2Fnz3zur_processed.png&w=3840&q=75)
Transcribed Image Text:## Probability
Given the sample space:
\[ S = \{0, 1, 2, 3, 4, 5, 6, 7\} \]
And these two events:
\[ A = \{1, 2, 3\} \]
\[ B = \{1, 3, 5, 6, 7\} \]
### Questions
1. **What is the probability that \( A \) occurs?**
\[
\text{(Enter your answer here)}
\]
2. **What is the probability that \( B \) occurs?**
\[
\text{(Enter your answer here)}
\]
3. **What is the probability that \( A \cap B \) occurs?**
\[
\text{(Enter your answer here)}
\]
4. **What is the probability that \( A \cup B \) occurs?**
\[
\text{(Enter your answer here)}
\]
5. **What is the probability that \(\{\}\) occurs?**
\[
\text{(Enter your answer here)}
\]
6. **What is the probability that \( S \) occurs?**
\[
\text{(Enter your answer here)}
\]
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