Problem preview
MF.DP.4 Challenge MF-058-A12-V03

Solve simple compound probability and counting problems using organized reasoning.

Find every simple compound case that matches the target

Problem

The target is exactly \(4~\text{favorable}~\text{outcomes}\). Evaluate Cases 1–6, then report the \(\text{complete}~\text{matching}~\text{set}\).

Case 1. A fair coin is flipped \(\text{twice}\); the event is exactly \(\text{one}\) head.
Case 2. Sandwiches use \(1~\text{of}~2\) breads and \(1~\text{of}~5\) fillings; the event is wheat bread.
Case 3. A \(3\text{-}by-2\) tree has \(4\) end outcomes marked favorable.
Case 4. Codes use \(1~\text{of}~\text{four}\) letters \({A,~B,~C,~D}\) and \(1~\text{of}~\text{three}\) digits \({1,~2,~3}\); the event is an even digit.
Case 5. \(\text{One}~\text{of}~3\) colored chips is drawn and a fair coin is flipped; favorable outcomes are red-heads, red-tails, blue-heads, and blue-tails.
Case 6. Outfits use \(1~\text{of}~4\) shirts and black or khaki pants; the event is black pants.

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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 every simple compound case that matches the target