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Learning Goal
Part of: Use the rules of probability to compute probabilities of compound events in a uniform probability model — 1 of 4 cluster items
Find conditional probability from a model
HSS.CP.B.6
**HSS.CP.B.6**: Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.
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HSS.CP.B.6: Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.
What you'll learn
- Compute P(A | B) in a uniform model by restricting to B's outcomes and finding the fraction of them that also belong to A
- Connect the counting approach, |A and B| / |B|, to the formula P(A and B) / P(B) from HSS.CP.A.3, explaining why they agree
- Find conditional probabilities from sample-space lists, Venn diagrams, and two-way tables by restricting to B
- Interpret each conditional probability in terms of the model and its context
- Explain that conditioning on B changes the effective sample space to B, so the denominator is the number of B's outcomes
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback