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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, find probabilities of single and combined events, and use sample space diagrams?

Use the probability scale from 0 to 1; calculate probabilities of single events from equally likely outcomes; use the fact that probabilities sum to 1; and list combined outcomes using sample space diagrams.
A focused answer to the OCR GCSE Mathematics probability content on the basics, covering the probability scale, single-event probability from equally likely outcomes, the sum of probabilities, and sample space diagrams for combined events.
11 min answer →

How do you use relative frequency to estimate probability and calculate expected outcomes?

Use relative frequency (experimental probability) to estimate probabilities from data, understand how more trials improve the estimate, and calculate expected numbers of outcomes.
A focused answer to the OCR GCSE Mathematics probability content on relative frequency and expected outcomes, covering experimental probability, the effect of more trials, fairness, and calculating expected numbers of outcomes.
10 min answer →

How do you use tree diagrams to find probabilities of combined events, with and without replacement?

Draw and use tree diagrams to calculate probabilities of combined events, including independent events and conditional events without replacement (Higher tier).
A focused answer to the OCR GCSE Mathematics probability content on tree diagrams, covering combined events, multiplying along branches, adding across outcomes, and conditional probability without replacement at Higher tier.
11 min answer →

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

Use Venn diagrams and set notation (union, intersection and complement) to represent and count outcomes and to calculate probabilities, including conditional probability (Higher tier).
A focused answer to the OCR GCSE Mathematics probability content on Venn diagrams and set notation, covering union, intersection and complement, representing data, and calculating probabilities including conditional probability at Higher tier.
11 min answer →