Coins: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet exploring simple probability with coins, including procedural tasks, problem solving, real-world scenarios, and extension questions suitable for GCSE Higher students.
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Full preview • 12 questions
Coins: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions carefully. Show your working in the grid spaces provided where required.
1.
Calculate the probability of flipping a fair coin and getting heads.
[1 mark]2.
If you flip a coin three times, what is the probability of getting exactly two heads?
[2 marks]3.
A coin is biased such that the probability of heads is 0.6. What is the probability of tails?
[1 mark]4.
Construct a probability tree diagram for flipping two unbiased coins and recording heads or tails.
[2 marks]5.
A fair coin is flipped twice. What is the probability that at least one heads appears?
[2 marks]6.
In a game, a coin is flipped repeatedly until a tails appears. What is the probability that tails appears on the third flip?
[2 marks]7.
A coin is flipped four times. Calculate the probability that exactly three heads occur.
[3 marks]8.
A coin has a 0.7 probability of landing heads. If flipped five times, what is the probability of getting exactly four heads?
[3 marks]9.
Explain why the probability of getting heads on a fair coin is the same as the probability of getting tails. Include a brief reasoning in your answer.
[2 marks]10.
A coin is flipped twice. What is the probability that the outcomes are different (one heads and one tails)?
[2 marks]11.
Identify and correct the mistake in the following reasoning: 'Since the probability of heads is 1/2, the probability of getting two heads in a row is 1/4, so the chance of getting at least one head in two flips is also 1/4.'
[3 marks]12.
Challenge: If two coins are flipped, what is the probability that both show the same side? Extend your answer with a brief explanation of your reasoning.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet