Probability and statistics: trees, experiments, samples and claims

More probability and statistics for the exam: tree diagrams in depth, expected outcomes from experiments, sampling and populations, critiquing charts and claims, and sample spaces in harder contexts.

Start with Tree diagrams in depth. In 30 minutes you will be able to complete a tree diagram so each pair of branches adds up to 1. 2 of the 5 lessons here are free.

Lessons

Based on your answers on this device and your account. It shows where practice will help most, not a grade.

Practise and test

By the end you can

Complete and use tree diagrams for independent and dependent events, with and without replacement, and use 1 − P(none) for at least one
Work out conditional probabilities and unknown numbers of items from a tree (Higher)
Estimate probabilities from experiments, judge which estimate is most reliable, and work out expected numbers and profits
Use a random sample to estimate counts, means and totals for a population, and spot a biased sample
Estimate a population by capture-recapture, and say what it assumes (Higher)
Spot misleading charts, check claims against the numbers, and compare two distributions with an average and a spread
Use sample space grids and the product rule for games, codes, cards without replacement and three picks

Specifications

DfE content (all boards) P2, P3, P5, P6, P7, P8, P9, S1, S2, S4, S5, N5
AQA 8300 Probability; Statistics
Pearson Edexcel 1MA1 Probability; Statistics (capture-recapture, Higher)
OCR J560 13 Probability; 14 Statistics

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