5. Probability

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