Problem preview
MF.DP.4 Challenge MF-058-A12-V04

Solve simple compound probability and counting problems using organized reasoning.

Find every simple compound case that matches the target

Problem

The target compound probability is \(3/8\). Evaluate Items 1–6, then report the \(\text{complete}~\text{matching}~\text{set}\).

Item 1. A fair coin is flipped \(\text{three}~\text{times}\); the event is \(\text{exactly}~\text{two}~\text{heads}\).
Item 2. A \(4\text{-}\text{section}\) spinner is followed by a fair coin; the event is \(A,~B,~\text{or}~C\) and then tails.
Item 3. A table has \(8~\text{equal}~\text{backpack}\text{-}\text{zipper}~\text{outcomes}\), with \(\text{exactly}~3~\text{favorable}\).
Item 4. A \(1\text{--}4\) cube is followed by a fair coin; the event is even and heads.
Item 5. A \(2\text{-}\text{section}\) spinner is followed by a \(1\text{--}4\) cube; the event is X and \(1,~2,~\text{or}~3\).
Item 6. A tree has \(8~\text{equal}~\text{end}~\text{outcomes}\), with \(5~\text{favorable}\).

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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