Problem preview

S-CP.5 Warmup M2-067-A09-V02

Explain conditional probability and independence in everyday language and situations.

Assess whether association is established, mechanism-based, or data-dependent

Problem

For a fair coin independent of favorite color, state the expected conditional heads probability for every color group and the association conclusion.

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Association is not expected; for every color, P(heads | color) should be 1/2.

Association is not expected because any two variables recorded for one person are independent.

Association is likely because color and coin result are recorded for the same person.

Common sense establishes association and a causal claim.

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Curriculum context

Course: Math II
Standard: S-CP.5
Category: Statistics and Probability
Domain: Conditional Probability and the Rules of Probability
Objective: Explain conditional probability and independence in everyday language and situations.
Problem type: Assess whether association is established, mechanism-based, or data-dependent