Consider a series of events.

(a) How does a tree diagram help you list all the possible outcomes of a series of events?

All possible outcomes are shown as distinct paths along every individual branch.

All possible outcomes are shown along the top branch.

All possible outcomes are shown as distinct paths from the beginning of the diagram to the end of each last branch.

All possible outcomes are shown at the beginning of each branch.

(b) How can you use a tree diagram to determine the total number of outcomes of a series of events?

It is not possible to count the total number of outcomes using a tree diagram.

Counting the number of final branches gives the total number of outcomes.

Counting the number of outcomes on the first main branch and then multiplying by 2.

Counting the number of beginning branches gives the total number of outcomes.