**Probability**

What students need to learn:

**P1** record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

**P2** apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments

**P3** relate relative expected frequencies to theoretical probability, using appropriate language and the 0-1 probability scale

**P4** 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

**P5** understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

**P6** enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams

**P7** construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities

**P8** calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions

**P9** calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams

To see the split between Higher and Foundation please see the full specification **Edexcel GCSE 2015 Specification**