9.5 Determine Outcomes of Compound Events

MATHEMATICS OBJECTIVE

Students will be able to:

Use a tree diagram, a table, or an organized list to represent the

sample space for a compound event.

ESSENTIAL UNDERSTANDING

The possible outcomes of a compound event (a combination of two or more events) can be represented using a tree diagram, a table, or an organized list.

9.5 Blank Notes

7.3

I can use models to represent the sample space of compound events.

REPRESENTING COMPOUND EVENTS

A compound event is a combination of two or more events.

An organized list, table, or tree diagram can be used to represent the

sample space of a compound event. The sample space for flipping two coins

consists of 4 outcomes.

ORGANIZED LIST

(H, H), (H, T), (T, H), (T, T)

TABLE

Second coin

H T

First coin H H,H H,T

T T,H T,T

TREE DIAGRAM

First coin: H or T.

- H branches to H (H,H) and T (H,T).

- T branches to H (T,H) and T (T,T).

Here H means heads, and T means tails.

There are four possible ordered outcomes.