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Learning Goal
Part of: Understand independence and conditional probability and use them to interpret data — 2 of 5 cluster items
Understand independence via the product rule
HSS.CP.A.2
**HSS.CP.A.2**: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
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HSS.CP.A.2: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
What you'll learn
- State that two events A and B are independent if and only if P(A and B) = P(A) * P(B)
- Explain independence intuitively: one event occurring does not change the probability of the other
- Determine whether two events are independent by computing P(A), P(B), and P(A and B) and comparing P(A and B) to the product P(A) * P(B)
- Distinguish independent events from dependent events using the product-rule test on real data
- Distinguish independence from mutual exclusivity as different relationships between events
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback