Coins: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on common errors and misconceptions when calculating probabilities involving coins. Designed to develop understanding of equally likely outcomes and improve procedural accuracy.

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Coins: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A fair coin is flipped once. What is the probability of getting a head? Express your answer as a fraction.
[2 marks]
2.
A coin is flipped twice. List all possible outcomes with their probabilities. Then, find the probability of getting exactly one head.
[4 marks]
3.
A student claims that flipping a coin twice will always give at least one head. Explain whether this statement is correct and justify your answer.
[3 marks]
4.
Calculate the probability of getting two tails when flipping a coin twice.
[2 marks]
5.
A coin is biased so that the probability of heads is 3/4. Is the probability of tails 1/4? Why or why not?
[3 marks]
6.
A coin is flipped three times. What is the probability of getting exactly two heads? Show your working.
[4 marks]
7.
Construct a probability tree diagram for flipping two coins. Label all outcomes and their probabilities.
[5 marks]
8.
Identify and correct the mistake: 'The probability of flipping a head on a fair coin is 3/4.'
[2 marks]
9.
A coin is flipped until a head appears. What is the probability that it takes exactly 3 flips? Show your reasoning.
[4 marks]
10.
A student mistakenly believes that after flipping heads, the probability of getting tails next is 1/2. Is this correct? Explain.
[3 marks]
11.
Calculate the probability of flipping at least one head in three flips of a fair coin.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet