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S-CP.6 Warmup M2-068-A02-V01

Compute conditional probability as the fraction of one event's outcomes that also belong to another event.

Compute a conditional probability from Venn-diagram counts

Problem

From the Venn diagram, form \(P(A|B)\) using overlap \(6\) over the full \(B\) count \(6+10\), then reduce.

Prompt Venn diagram: A-only contains 4, the A-and-B overlap contains 6, and B-only contains 10. Find P(A given B); the result is withheld. Open full size
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What this problem is really about

In a Venn diagram, conditioning on B makes the whole B circle the denominator. We’ll total its overlap and B-only regions, use the overlap as the favorable A count, reduce the ratio, and interpret the answer as the share of B that also belongs to A.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-CP.6
Category
Statistics and Probability
Domain
Conditional Probability and the Rules of Probability
Objective
Compute conditional probability as the fraction of one event's outcomes that also belong to another event.
Problem type
Compute a conditional probability from Venn-diagram counts