Tables: Error Analysis & Misconceptions
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to tables representing sample spaces for two events. Designed to develop procedural mastery, problem-solving skills, and understanding of real-world applications.
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Tables: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A table shows the probabilities of two independent events, A and B. The entries are missing some values. Fill in the missing probabilities and verify that the total probability sums to 1.
[3 marks]2.
A student incorrectly labels the rows and columns of a probability table, mixing the events A and B. Identify the mistake and explain how to correct the table.
[3 marks]3.
Construct a 2x2 table showing the probabilities of two dependent events, C and D, with the following data: P(C and D) = 0.2, P(C and not D) = 0.3, P(not C and D) = 0.1. Fill in the remaining cells.
[3 marks]4.
A table incorrectly shows the total probability of all outcomes as 0.95 instead of 1. Explain the common mistake made and how to avoid it.
[3 marks]5.
Given a table representing the sample space of two events with some incomplete probabilities, use the information to find the missing entries. The table shows P(E) = 0.4, P(F) = 0.5, and P(E and F) = 0.2.
[2 marks]6.
Explain why a probability table that sums to 1 might still be incorrect in representing the sample space.
[3 marks]7.
A table shows the probabilities of two events, but the total probability exceeds 1. Identify the error and suggest a correction.
[2 marks]8.
Using a sample space table, determine whether events A and B are independent. Justify your answer with calculations.
[3 marks]9.
In a real-world scenario, a table is used to model the probability of rain and wind on a given day. The table shows P(Rain) = 0.3, P(Wind) = 0.4, and P(Rain and Wind) = 0.12. Check if the data suggests independence and explain.
[3 marks]10.
A student makes a common mistake by adding probabilities along a row or column without considering overlaps. Identify and correct the mistake in the following scenario.
[2 marks]11.
Challenge: Given a table where P(X) = 0.6, P(Y) = 0.5, and P(X and Y) = 0.3, verify if the probabilities indicate independence, and interpret the result.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet