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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?**

   \[
   \text{(Enter your answer here)}
   \]
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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