### GCSE Maths (9-1) F: Probability » Higher Probability

GCSE (9-1) Foundation Mathematics is broken down into six main areas:

• Number (NF)
• Algebra (AF)
• Ratio, proportions, rates of change (RF)
• Geometry and Measures (GF)
• Statistics (SF)
• Probability(PF)
Probability:Know how to

1. Record describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

2. Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

3. Relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1 probability scale

4. Apply the property that the probabilities of an exhaustive set of outcomes sum to one; apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one

5. Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

6. Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams

7. Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

8. Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions