A tree diagram is helpful for working with event intersections and conditional probabilities. A tree consists of nodes and branches representing different stages in an experiment. Tree 1 shows an ...

Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening. For example, the probability of rolling a 6 on a die will not ...

We elaborate on an alternative representation of conditional probability to the usual tree diagram. We term the representation “turtleback diagram” for its resemblance to the pattern on turtle shells.

Tree diagrams are a way of showing combinations of two or more events. Each branch is labelled at the end with its outcome and the probability is written alongside the line. Two events are independent ...

In decision modeling with influence diagrams, the most challenging task is probability elicitation from domain experts. It is usually very difficult for experts to directly assign precise ...

In medicine, diagnoses based on medical test results are probabilistic by nature. Unfortunately, cognitive illusions regarding the statistical meaning of test results are well documented among ...

Abstract: Fault tree (FT) is the most used approach in reliability and safety studies. In most cases, the quantification of the FT top event is carried out either (i) without considering uncertainties ...