Activity in which students have to count the total number of possible paths for a robot given certain restrictions on its movements, in order to work out probabilities.
Contains some combinatoric-esque starter puzzles, and covers the whole GCSE syllabus, including mutually exclusive and independent events, experimental versus theoretical probability, probability trees (including algebraic probabilities) and sampling with and without replacement. Comes with two worksheets.
(Used for the Tiffin Year 8 scheme of work)
(a) Determine probabilities using matching outcomes/total outcomes.
(b) Understand the concept of a 'sample space'. Identify the sample space for both a single event and two combined events (e.g. adding two dice) and use to calculate probabilities.
(c) Understand the difference between experimental and theoretical probabilities. Calculate experimental probabilities/relative frequencies and estimate the most likely count given the number of trials and a probability.