What is an array and tree diagram?
In this post, we use arrays and tree diagrams to determine the outcomes and probabilities for multi-stage experiments, as a part of the Prelim Maths Advanced course under the topic Statistical Analysis and sub-part Probability and Venn diagrams. An array is a set of numbers arranged in a row and column format. A tree diagram is a way to represent the probability of events occurring by showing all possibilities of paths as branches.
The following three videos are on tree diagrams, with the first one explaining what they are, the second explaining how you read them and the third giving a realistic example, listing all possibilities of outfits to wear.
Part 1: How to construct them
Part 2: How to read them
Part 3: Example
The video below runs over how to utilise an array to represent all possible outcomes between events.