Coins: Mixed Review

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A comprehensive worksheet reviewing simple probability with coins, including procedural questions, problem-solving, real-world scenarios, extensions, and error analysis.

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Full preview • 12 questions

Coins: Mixed Review

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 fair coin is flipped once. What is the probability of getting heads? Show your calculation.
[2 marks]
2.
If a coin is flipped three times, what is the probability of getting exactly two tails? Show your working.
[3 marks]
3.
A coin is flipped twice. What is the probability that both flips land on the same side?
[2 marks]
4.
Calculate the probability of getting at least one head in two flips of a fair coin.
[3 marks]
5.
In a game, a coin is flipped. If it lands on heads, the player wins £10. If tails, they win nothing. What is the expected value of a single flip?
[4 marks]
6.
A biased coin has a 1/3 chance of landing on heads. If flipped twice, what is the probability of getting exactly one head?
[3 marks]
7.
A coin is flipped three times. Construct a probability tree to list all possible outcomes and their probabilities.
[4 marks]
8.
A coin is flipped twice. What is the probability of getting exactly one head and one tail in any order?
[2 marks]
9.
A student claims that flipping two coins gives a 50% chance of getting exactly one head. Is this correct? Explain your reasoning.
[3 marks]
10.
If a coin is biased so that the probability of heads is 0.6, what is the probability of getting tails in a single flip?
[2 marks]
11.
In a game, a fair coin is flipped five times. What is the probability of getting exactly three heads? Use the binomial probability formula.
[4 marks]
12.
Identify and correct the mistake in the following statement: 'The probability of getting at least one head in two flips is 1/2.'
[3 marks]

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Details

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