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 ...

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 ...

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 ...

For any event that has multiple outcomes with different probabilities, it can be helpful and illustrative to construct a chart or diagram of the possible outcomes. Tree diagrams are a useful example ...

Abstract: In this chapter, the authors discuss sample spaces, basic probability theory and random variables. Conditional probability leads to tree diagrams and the Bayes formula. Bernoulli trials pave ...

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.

Abstract: Fast method of compound event probability calculation based on binary tree is presented for large-scale systems with two-state components. According to the principle of binary decision ...