Let our experiment consist of rolling two four-sided dice. So our sample space S consists of 16 objects in the form of (a, b) where a is the result of the first die and b is the result of the second die. Notice that the object (1,3) # (3, 1) for example. 1. Consider events A = "The sum of the roll is 5" and B = "The distance between a and b is 1". Write both of these events in set notation using {} brackets. (2pts) 2. Write Aand B and AorB as sets. (Hint: AandB has 2 objects, AorB has 8 objects) (2pts) 3. Using the method, find P(A), P(B), P(AandB), and P(AorB). (4pts)
Let our experiment consist of rolling two four-sided dice. So our sample space S consists of 16 objects in the form of (a, b) where a is the result of the first die and b is the result of the second die. Notice that the object (1,3) # (3, 1) for example. 1. Consider events A = "The sum of the roll is 5" and B = "The distance between a and b is 1". Write both of these events in set notation using {} brackets. (2pts) 2. Write Aand B and AorB as sets. (Hint: AandB has 2 objects, AorB has 8 objects) (2pts) 3. Using the method, find P(A), P(B), P(AandB), and P(AorB). (4pts)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:Let our experiment consist of rolling two four-sided dice. So our sample space \( S \) consists of 16 objects in the form of \((a,b)\) where \( a \) is the result of the first die and \( b \) is the result of the second die. Notice that the object \((1,3) \neq (3,1)\) for example.
1. Consider events \( A = \) “The sum of the roll is 5” and \( B = \) “The distance between \( a \) and \( b \) is 1”. Write both of these events in set notation using \(\{ \}\) brackets. (2pts)
2. Write \( A \text{ and } B \) and \( A \text{ or } B \) as sets. (Hint: \( A \text{ and } B \) has 2 objects, \( A \text{ or } B \) has 8 objects) (2pts)
3. Using the \(\frac{f}{N}\) method, find \( P(A) \), \( P(B) \), \( P(A \text{ and } B) \), and \( P(A \text{ or } B) \). (4pts)
4. Use the “General Addition Rule” to find \( P(A \text{ or } B) \), show your work. (2pts)
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