Title: 35_2 Elementary Probability
Course: HELM Workbooks 2023-2024 > Section: HELM 35: Sets and Probability

Probability is about the study of uncertainty. Scientists and engineers are expected to design and produce systems which are both useful and reliable. Essentially we are dealing with situations where ‘chance’ is at work and probability theory gives us the theoretical underpinning necessary for a full understanding of any experimental results we observe in practice.

Probability theory also gives us the tools to set up mathematical models of systems and processes which are affected by random occurrences or ‘chance’. In fact the study of probability enables scientists and engineers to discuss the reliability of the processes they use and the systems they produce in terms that other scientists, engineers and designers can understand. It is worth noting that ‘chance’ is taken to be responsible for variations in simple manufactured products such as screws, bolts, and light bulbs as well as complex products such as cars, ships and aircraft. In each of these products, small chance variations in raw materials and production processes may have a substantial effect on a product.