Problem preview
MF.DP.3 Challenge MF-057-A12-V03

Compute and compare theoretical and experimental probability in simple settings.

Find every probability scenario that matches the target

Problem

Evaluate scenarios A–E, then report the \(\text{complete}~\text{set}\) with experimental probability exactly equal to theoretical probability.

A. A fair coin has theoretical heads probability \(1/2\); heads occurred \(9~\text{times}\) in \(18~\text{flips}\).
B. A bag has \(4\) red and \(6\) blue marbles, so red has theory \(2/5\); red occurred \(8~\text{times}\) in \(25~\text{replacement}~\text{draws}\).
C. A spinner has \(5\) equal sections with \(2\) stars, so star has theory \(2/5\); star occurred \(12~\text{times}\) in \(30~\text{spins}\).
D. A cube result above \(4\) has theory \(1/3\); it occurred \(6~\text{times}\) in \(24~\text{rolls}\).
E. A box has \(3\) gold and \(9\) silver tokens, so gold has theory \(1/4\); gold occurred \(10~\text{times}\) in \(40~\text{replacement}~\text{draws}\).

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Four variants of this problem type
Curriculum context
Standard
MF.DP.3
Category
Data and Probability
Domain
Probability
Objective
Compute and compare theoretical and experimental probability in simple settings.
Problem type
Find every probability scenario that matches the target