Problem preview

S-CP.3 Warmup M2-065-A11-V03

Understand conditional probability and connect independence to unchanged conditional probabilities.

Judge whether a claim is supported by conditional probability information

Problem

Does this conditional probability information support the claim? Claim: events are independent; \(P(A)=0.30\) and \(P(A|B)=0.30\)

Answer choices

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Supported, because P(A|B)=0.30 and P(A)=0.30, so knowing B happened does not change the probability of A.

Not supported, because you should compare P(A|B) to P(B), not to P(A), and P(B) is not given.

Not supported, because independent events should have probabilities that add to 1, but 0.30 and 0.30 only add to 0.60.

Supported, because both probabilities are less than 0.50, which means the events do not affect each other.

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Curriculum context

Course: Math II
Standard: S-CP.3
Category: Statistics and Probability
Domain: Conditional Probability and the Rules of Probability
Objective: Understand conditional probability and connect independence to unchanged conditional probabilities.
Problem type: Judge whether a claim is supported by conditional probability information