Placing Events: Error Analysis & Misconceptions
Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring common misconceptions and errors in placing events on the probability scale from 0 to 1, aimed at GCSE Higher students.
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Placing Events: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read the key concept below before attempting the questions.
1.
Placing events involves assigning probabilities between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Understanding where events lie on this scale is crucial for probability analysis.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Place the following events on the probability scale: flipping a coin and getting heads, rolling a die and getting a six, drawing a red card from a standard deck.
[3 marks]2.
If an event is considered impossible, what is its probability? Place it correctly on the scale.
[2 marks]3.
An event has a probability of 0.75. Is this closer to 0 or 1? Explain your reasoning.
[3 marks]C
Problem Solving & Reasoning
Answer the following multi-step questions. Provide detailed explanations.
1.
A card is drawn from a standard deck. The probability of drawing a spade is 0.25. Explain why this placement makes sense on the probability scale.
[4 marks]2.
A biased coin has a 60% chance of landing on heads. If you flip the coin 10 times, what is the approximate probability that at least 6 flips are heads? (Use binomial approximation)
[5 marks]D
Real-world Applications
Apply your understanding to real-world contexts.
1.
In a survey, 85% of people say they like a new product. Place this event on the probability scale and discuss whether it is more likely than not.
[3 marks]2.
A factory produces items with a defect rate of 0.02. Place the event 'item is defective' on the probability scale and explain why.
[3 marks]E
Challenge & Extension
Tackle these more difficult problems. Show your reasoning clearly.
1.
Design an event with a probability of exactly 0.5. Justify your placement and describe a possible real-world example.
[4 marks]2.
A spinner is divided into 8 equal sections, with 3 red and 5 blue. Place the event 'spinner lands on red' on the probability scale and verify the placement.
[3 marks]F
Mixed Review & Error Analysis
Identify the common mistake and correct it.
1.
A student claims that an impossible event has a probability of 1. Explain the error and correct the placement.
[3 marks]2.
An event has a probability of 0.9 but the student placed it at 0.1 on the scale. Identify the mistake and explain the correct placement.
[4 marks]3.
Construct an example of an event with a probability of 0.5 and describe its placement on the scale.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet