3.5 Probability
P1
Basic foundation content |
Additional foundation content |
Higher content only |
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record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees |
Notes: probabilities should be written as fractions, decimals or percentages.
P2
Basic foundation content |
Additional foundation content |
Higher content only |
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apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments |
P3
Basic foundation content |
Additional foundation content |
Higher content only |
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relate relative expected frequencies to theoretical probability, using appropriate language and the 0 to 1 probability scale |
P4
Basic foundation content |
Additional foundation content |
Higher content only |
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apply the property that the probabilities of an exhaustive set of outcomes sum to 1 apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to 1 |
P5
Basic foundation content |
Additional foundation content |
Higher content only |
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understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size |
P6
Basic foundation content |
Additional foundation content |
Higher content only |
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enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams |
including using tree diagrams |
P7
Basic foundation content |
Additional foundation content |
Higher content only |
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construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities |
P8
Basic foundation content |
Additional foundation content |
Higher content only |
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calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions |
Notes: including knowing when to add and when to multiply two or more probabilities.
P9
Basic foundation content |
Additional foundation content |
Higher content only |
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calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams |