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EnglandMaths

Probability

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you use the probability scale, calculate probabilities of single and combined events, and use sample spaces?

The probability scale and notation, probabilities of single events, mutually exclusive and exhaustive events, the AND and OR rules for combined events, and listing outcomes using sample space diagrams.
A focused answer to the Edexcel GCSE Mathematics probability content on the basics, covering the probability scale and notation, single-event probabilities, mutually exclusive and exhaustive events, the AND and OR rules, and sample space diagrams.
9 min answer →

How do you estimate probability from experiments using relative frequency, and predict expected numbers of outcomes?

Estimating probability from experimental data using relative frequency, comparing experimental and theoretical probability, and calculating the expected number of outcomes from a probability.
A focused answer to the Edexcel GCSE Mathematics probability content on relative frequency and expected outcomes, covering estimating probability from experiments, comparing experimental and theoretical probability, and predicting the expected number of outcomes.
9 min answer →

How do you use tree diagrams for combined events, including independent and conditional (without replacement) probability?

Tree diagrams for two or more events, multiplying along branches and adding between paths, and conditional probability where the second event depends on the first (without replacement) at Higher tier.
A focused answer to the Edexcel GCSE Mathematics probability content on tree diagrams, covering multiplying along branches, adding between paths, and conditional probability where the second event depends on the first.
10 min answer →

How do you use Venn diagrams and set notation to organise data and calculate probabilities?

Venn diagrams for two or three sets, set notation (union, intersection and complement), and using a completed Venn diagram to find probabilities including conditional probability (Higher tier).
A focused answer to the Edexcel GCSE Mathematics probability content on Venn diagrams and set notation, covering two and three set diagrams, union, intersection and complement notation, and finding probabilities from a Venn diagram including conditional probability.
9 min answer →