# Tree Diagrams

- Created by: leah
- Created on: 18-05-13 18:35

## Slides in this set

### Slide 1

Objective: To calculate probability

Tree Diagrams using a tree diagram.

Five balls are put into a bag.

Three are red.

Two are blue.

A ball is chosen at random and replaced.

A second ball is then chosen.

Draw a tree diagram to show all the possible outcomes and their probabilities.

Lesley Hall @ Soar Valley College…read more

### Slide 2

Objective: To calculate probability

Tree Diagrams using a tree diagram.

1st choice

3

R

5 You could either pick

out a red ball...

3

P(red ball) =

5

2

5

B ... or a blue ball.

2

P(blue ball) =

5

Lesley Hall @ Soar Valley College…read more

### Slide 3

Objective: To calculate probability

Tree Diagrams using a tree diagram.

1st choice 2nd choice

R

If you chose a red the 1st

3

R time, you can still choose a

5 red or a blue the 2nd time.

B

2 R

5 If you chose a blue the 1st

B time, you can still choose a

red or a blue the 2nd time.

B

Lesley Hall @ Soar Valley College…read more

### Slide 4

Objective: To calculate probability

Tree Diagrams using a tree diagram.

1st choice 2nd choice

3

5

R

3

R

2 Because we replace the first

5 B ball the probabilities will

5

stay the same!

3

2 5 R

5 + =1

B

2

5 B

Notice that on each pair of

branches the probabilities

add up to 1.

Lesley Hall @ Soar Valley College…read more

### Slide 5

Objective: To calculate probability

Tree Diagrams using a tree diagram.

1st choice 2nd choice

3

5

R

3 R

5 2

5 B

3

2 5 R

5

B

2

5 B

List the outcomes ...

Lesley Hall @ Soar Valley College…read more

### Slide 6

Objective: To calculate probability

Tree Diagrams using a tree diagram.

1st choice 2nd choice

3 3 3 9

5

R RR 5

x

5

=

25

3

R

5 2 3 2 6

5 B RB 5

x

5

=

25

3 2 3 6

2 5 R BR 5

x

5

=

25

5

B

2 2 2 4

5 B BB 5

x

5

=

25

Finally check that your

...and work out the

probabilities add up to 1.

probabilities.

Lesley Hall @ Soar Valley College…read more

### Slide 7

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