AQR.MATH.4.B
Use the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), in mathematical and real-world problems.
Advanced Quantitative Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
Addition RuleP(A or B)P(A)P(B)P(A and B)mathematical problemsreal-world problemsprobability
Skills
- apply (the Addition Rule to probability problems) #dok2
- identify (the events A, B, and A and B in a given problem) #dok1
- calculate (P(A or B), P(A), P(B), and P(A and B)) #dok1
- interpret (probability results in context) #dok2
- solve (mathematical and real-world problems involving the Addition Rule) #dok3
Learning Targets
- I can identify the events in a probability problem as A, B, and A and B. #dok1
- I can calculate P(A), P(B), and P(A and B) given sufficient information. #dok1
- I can apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), to solve probability problems. #dok2
- I can interpret the meaning of the Addition Rule results in real-world situations. #dok2
- I can solve mathematical and real-world problems that involve overlapping and non-overlapping events using the Addition Rule. #dok3
Big Ideas
- Probability rules, such as the Addition Rule, help us analyze and solve problems where multiple events can occur.
- Applying the Addition Rule bridges the gap between mathematical theory and real-world problem solving involving probabilities.
Essential Questions
- How can the Addition Rule be used to find the probability of either of two events occurring?
- How does the relationship between events A and B change the way we use the Addition Rule?
- In what real-world situations might you need to subtract P(A and B) when finding P(A or B)?
- How does understanding the Addition Rule help you make better predictions or decisions?
- What is the difference between mutually exclusive and non-mutually exclusive events, and how does this impact the use of the Addition Rule?