Introduction to Set Notation – P6

Probability II – AQA GCSE (8300): Higher Tier

In this course, Dr Sunil Chhita (Durham University) explores probability, covering Topics P6-P9 in the AQA GCSE (9-1) Mathematics (8300) Specification for Higher Tier. In the first mini-lecture, we introduce set notation and the intersection and union of sets (Topic P6). In the second mini-lecture, we consider Venn diagrams and how they can be used to visualise sets (Topic P6). In the third mini-lecture, we introduce theoretical probability spaces, also known as sample spaces (Topic P7). In the fourth mini-lecture, we discuss independent and dependent combined events (Topic P8). In the fifth mini-lecture, we introduce conditional probability (Topic P9). In the sixth mini-lecture, we discuss applications of probability in Covid testing (non-examinable enrichment content).

Introduction to Set Notation – P6

In this mini-lecture, we introduce Topic P6 by discussing set notation. In particular, we think about: (i) the bracket notation used to describe a set with the elements placed within the brackets; (ii) the element symbol, ∈, which means ‘element of’ or ‘in’; (iii) the universal set denoted by ξ; (iv) the definitions of the intersection and union of two sets; and (v) creating sets with data from a frequency table.