We consider a machine which has two components in parallel, hence the system works if at least one component is working. Given probabilities of the components working of 0.7 and 0.8 for components one and two respectively, the axioms of probability are applied to compute the probability of the system working. Duration: 11 minutes 13 seconds.
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Video tutorial 4.2 Venn diagram
A Venn diagram is used to model the intersection of sets. For a class of 35 students, information about the number studying combinations of the disciplines of Economics, History and Politics is provided. The Venn diagram then makes it possible to compute the probability of a student studying at least one of these subjects. Duration: 8 minutes 19 seconds.
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Video tutorial 4.3 Conditional probability
A horse race example is used to illustrate the concept of conditional probability. Using the idea of the Total Probability Theorem, it is possible to compute the probabilities of conditional events of interest. Duration: 7 minutes 40 seconds.
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Video tutorial 4.4 Probability trees
Sometimes it can be conceptually easier to use probability tree diagrams to set out solutions to a problem. This recording makes use of such a technique to compute the probability of an audit error when two individuals are responsible for checking audits. Duration: 10 minutes 26 seconds.
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Video tutorial 4.5 Rolling of dice
This probability example considers constructing the entire sample space of possible outcomes when two dice are rolled. Using this approach, the probabilities of particular events of interest are computed. Duration: 6 minutes 51 seconds.
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