GEOM.MATH.13.C
Identify whether two events are independent and compute the probability of the two events occurring together with or without replacement.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
eventsindependent eventsprobabilityreplacement
Skills
- identify (independent events) #dok1
- compute (probability of two events occurring together) #dok2
- determine (whether two events are independent) #dok2
- analyze (situations with and without replacement) #dok3
Learning Targets
- I can define independent and dependent events using probability language. #dok1
- I can identify whether two given events are independent from a description or data. #dok1
- I can calculate the probability of two independent or dependent events occurring together. #dok2
- I can determine if two events are independent based on information given in a situation. #dok2
- I can distinguish between situations involving replacement and no replacement in probability. #dok2
- I can analyze real-world scenarios to decide if events are independent or dependent. #dok3
- I can explain the impact of replacement versus no replacement on the probability of compound events. #dok3
Big Ideas
- The independence of events affects how their probabilities are computed, especially in compound probability situations.
- Replacement or non-replacement is a key factor in determining the relationships between multiple events.
Essential Questions
- What does it mean for two events to be independent?
- How do you determine if two events are independent or dependent?
- How does replacing or not replacing an item affect the probability of subsequent events?
- What is the probability of two independent events both occurring?
- How can we analyze compound probability situations in the real world?