Tree Diagrams

Each branch of a tree diagram places the probability together with its respective possible outcome.

The end of each branch has a node which can start new branches depending on the possibile outcomes.

Keep in mind that the sum of probabilities of the branches of each node is 1.

Examples

A class consists of six girls and 10 boys. If a committee of three is chosen at random, find the probability of:

1 Three boys being chosen.

Probability Tree Diagram

Probability Operations

2Exactly two boys and a girl being chosen.

Probability Operations

3Exactly two girls and a boy being chosen.

Probability Operations

4 Three girls being chosen.

Probability Operations


Calculate the probability of three coins landing on:

Three heads.

Tree Diagram

Probability Operations