An Introduction to Tree Diagrams

This video tutorial explains tree diagrams and their application in calculating probabilities. It covers the basics of tree diagrams, including how to represent possible outcomes and probabilities along branches. The video provides examples, such as calculating the probability of consecutive coin tosses and visiting landmarks. Key points include ensuring probabilities add up to one and using multiplication for combinations. Conditional probabilities are also discussed, with examples involving marbles. The video concludes with a practice question and emphasizes the importance of completing relevant branches in tree diagrams.

What are tree diagrams used for in probability?

Explain how the outcomes of events are represented in a tree diagram.

What must the probabilities of branches stemming from a point in a tree diagram add up to?

How do you calculate the probability of a combination of outcomes using a tree diagram?

Describe the process of completing an incomplete tree diagram.

What should you do if you are asked to calculate the probability for more than one combination of outcomes?

What are conditional probabilities and how do they affect the outcomes in a tree diagram?