Problem preview
S-CP.5 Warmup M2-067-A05-V01

Explain conditional probability and independence in everyday language and situations.

Translate an everyday conditional probability statement by identifying the condition and the target event

Problem

Represent “Among students who play sports, \(30\%\) play soccer” in conditional notation, placing sports after the bar and soccer before it.

Big Picture

What this problem is really about

The among phrase identifies the conditioned group, while the later behavior names the target event. We’ll place sports after the conditional bar, soccer before it, convert the percentage to a decimal probability, and read the notation back to verify that the group direction is preserved.

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Four variants of this problem type
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
Translate an everyday conditional probability statement by identifying the condition and the target event