Problem preview
MF.DP.4 Standard MF-058-A04-V04

Solve simple compound probability and counting problems using organized reasoning.

Find expected successes for a compound event

Problem

Each snack pack is made by randomly choosing \(1~\text{drink}\) from a set of \(3~\text{drink}~\text{options}\) and \(1~\text{fruit}~\text{cup}\) from a separate set of \(5~\text{fruit}~\text{cup}~\text{options}\). For every new pack, the same \(3~\text{drink}~\text{options}\) and \(5~\text{fruit}~\text{cup}~\text{options}\) are available again. \(\text{One}~\text{of}~\text{the}~3~\text{drinks}\) is apple juice, and \(2~\text{of}~\text{the}~5~\text{fruit}~\text{cups}\) are peach. A pack is a match if it has apple juice and a peach cup. If \(90~\text{snack}~\text{packs}\) are made this way, about how many matching packs would you expect?

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Four variants of this problem type
Curriculum context
Standard
MF.DP.4
Category
Data and Probability
Domain
Probability
Objective
Solve simple compound probability and counting problems using organized reasoning.
Problem type
Find expected successes for a compound event