AQA•GCSE•Mathematics•Probability
Tree diagrams
AQA GCSE Mathematics practice questions with step-by-step solutions
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Sample Questions
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EasyQuestion 1
[3 marks]A coin is flipped twice.
Draw a tree diagram and find the probability of getting two heads.
Solution for Question 1
MediumQuestion 2
[4 marks]The probability that it rains on any day is 0.3.
Using a tree diagram for two days, find:
(a) P(rain on both days)
(b) P(rain on exactly one day)
Solution for Question 2
HardQuestion 3
[5 marks]A bag contains 4 red and 3 blue balls. Two balls are drawn without replacement.
Find the probability of getting:
(a) two red balls
(b) one of each colour
Solution for Question 3
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Generate Unlimited QuestionsAbout Tree diagrams in AQA GCSE
Tree diagrams show all possible outcomes of a sequence of events. Each branch represents a possible outcome, with probabilities written on branches. To find the probability of a specific path, multiply along the branches.
For independent events, the probabilities don't change. For dependent events (like picking without replacement), adjust probabilities after each selection. The sum of branches from any point must equal 1.
To find "at least one" or "or" situations, identify all relevant paths on the tree and add their probabilities. Alternatively, use P(at least one) = 1 - P(none).
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