Without Replacement: Music & Sound Applications
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of Without Replacement in probability through real-world music and sound scenarios. Students will analyze situations involving selections of musical instruments, sound equipment, and audio samples.
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Without Replacement: Music & Sound Applications
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A sound technician has 5 microphones, of which 2 are damaged. If they select one microphone at random and then select another without replacing the first, what is the probability that both microphones are undamaged?
[3 marks]2.
A playlist contains 8 songs, 3 of which are acoustic and 5 are electronic. If a DJ randomly chooses 2 songs without replacement, what is the probability both are acoustic?
[3 marks]3.
Construct a tree diagram showing the probability of selecting a string instrument or a percussion instrument from a collection of 10 instruments: 4 strings and 6 percussion, when selecting two without replacement.
[4 marks]4.
A music store has 12 audio samples, of which 4 are high quality. If a sound editor randomly selects 3 samples without replacement for review, what is the probability exactly 2 are high quality?
[4 marks]5.
In a set of 15 sound effect recordings, 5 are faulty. If an audio engineer selects 2 recordings without replacement, what is the probability that both are not faulty?
[3 marks]6.
A sound engineer has 9 cables: 3 are defective. If they pick 2 cables without replacement, what is the probability that both cables are functioning correctly?
[3 marks]7.
A DJ has 10 sound samples, 4 are bass-heavy. If they select 3 samples without replacement, what is the probability exactly 2 are bass-heavy?
[4 marks]8.
A music producer randomly picks 2 guitar tracks out of 12, where 4 are electric and 8 are acoustic, without replacement. Find the probability both are electric.
[3 marks]9.
A sound studio has 20 sound clips, 6 of which are noisy. A technician randomly selects 4 clips without replacement. What is the probability that fewer than 2 clips are noisy?
[4 marks]10.
Identify and correct the common mistake: A student calculates the probability of selecting 2 undamaged microphones in sequence as 0.4 x 0.4 = 0.16, assuming replacement. Is this correct? Explain and correct if necessary.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet