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Probability I – Edexcel GCSE (1MA1): Foundation Tier

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About this Course

About the Course

In this course, Dr Sunil Chhita (Durham University) explores probability, covering topics P1-P5 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Foundation Tier. In the first mini-lecture, we give an introduction to probability and discuss important definitions, notation, and applications. In the second mini-lecture, we explore how to represent data using frequency tables and frequency trees (Topic P1). In the third mini-lecture, we define randomness, fairness, and equally likely events, and learn how to calculate the expected outcomes of multiple future experiments (Topic P2). In the fourth mini-lecture, we explore the differences between relative expected frequencies and theoretical probabilities (Topic P3). In the fifth mini-lecture, we discuss exhaustive sets of outcomes and mutually exclusive events, while learning how the probabilities of these types of events sum to one (Topic P4). In the sixth mini-lecture, we learn about theoretical probability distributions and how experimental probability gets closer to theoretical probability with an increase of trials (Topic P5).

About the Lecturer

Sunil Chhita is an Associate Professor of Probability in the Department of Mathematical Sciences at Durham University. His research interests include probability theory and statistical mechanics, in particular the dimer model, the six vertex model, and alternating sign matrices. He has studied the rough-smooth transition, a transition between exponential and polynomial decay of correlations, which appears naturally in the two-periodic Aztec diamond. More recently, he has been studying the so-called liquid-gas transition which naturally appears for domino tilings of the two-periodic Aztec diamond.

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