#### Tree Diagram

__Definition of Tree Diagram __

- A tree diagram shows all the possible outcomes of an event.
- All possible outcomes of an event are shown by a tree diagram.

__Examples of Tree Diagram __

- If a coin is tossed and the number cube is rolled simultaneously then the probability of getting head on the coin and the number 4 on the number cube is .

__ __

- If two coins are tossed simultaneously then the possible outcomes are 4. The possible outcomes are HH, HT, TH, TT. The tree diagram below shows the possible outcomes.

__Solved Example on Tree Diagram __

A box has 1 red ball, 1 green ball and 1 blue ball, 2 balls are drawn from the box one after the other, without replacing the first ball drawn. Use the tree diagram to find the number of possible outcomes for the experiment.

**Choices:**

A. 2

B. 4

C. 6

D. 3

**Correct Answer: C**

**Solution:**

**tep 1:** The possible outcomes are RG, RB, GR, GB, BG and BR.** **

**Step 2: **So, the number of possible outcomes is 6.** **

__Related Terms for Tree Diagram __

- Probability
- Outcome
- Event

__Additional Links for Tree Diagram __