Problem preview
S-CP.6 Warmup M2-068-A03-V01

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

Find a conditional probability from a two-way table by restricting to the given event

Problem

Using the table, compute \(P(\text{bus}|\text{freshman})\) as the \(\text{bus}\) cell \(8\) divided by the conditioned \(\text{freshman}\) row total \(20\).

Big Picture

What this problem is really about

A table conditional uses the margin of the named condition, not the target column or grand total. We’ll restrict to the freshman row, place its bus cell over the row total, reduce and convert the ratio, and state the resulting within-freshmen bus rate.

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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
Find a conditional probability from a two-way table by restricting to the given event