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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 AandB 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)
4. Use the "General Addition Rule" to find P(AorB), show your work. (2pts)
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) # (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 AandB 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) 4. Use the "General Addition Rule" to find P(AorB), show your work. (2pts)
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