1. no replacement – version 2
Tree Diagrams:
no replacement – version 2
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Teacher
Intelligent Practice
Narration
Your Turn
Practice

2. Worked Example
Your Turn
There are 4 yellow and 5 red balls in a bag.
A ball is picked and not replaced.
A second ball is then picked.
Complete the tree diagram showing the probabilities on each branch.
There are 3 yellow and 5 red balls in a bag.
A ball is picked and not replaced.
A second ball is then picked.
Complete the tree diagram showing the probabilities on each branch.
@mrbartonmaths

3. The numbers of coloured balls in a bag and the number of picks are given in each question.
Each time a ball is picked, it is not replaced.
Draw a tree diagram showing the probabilities on each branch
1. 5 yellow and 5 red balls
Two picks
2. 4 yellow and 4 red balls
3. 4 yellow and 3 red balls
4. 3 yellow and 4 red balls
5. 2 yellow and 5 red balls
6. 1 yellow and 6 red balls
7. 1 yellow and 2 red balls
8. 3 yellow and 6 red balls
Two picks
9. 3 yellow and 6 red balls
Three picks
10. 3 yellow and 7 red balls
11. 2 yellow and 7 red balls
12. 2 yellow and 7 red balls
13. 2 yellow, 7 red and 3 green balls
14. 4 yellow, 7 red and 3 green balls
15. 4 yellow, 7 red and 3 green balls
Three picks
@mrbartonmaths

4. 1. 5 yellow and 5 red balls 3. 4 yellow and 3 red balls Two picks
4 9
3 6
5 10
4 7
5 9
3 6
5 9
4 6
5 10
3 7
4 9
2 6
2. 4 yellow and 4 red balls
Two picks
4. 3 yellow and 4 red balls
Two picks
3 7
2 6
4 8
3 7
4 7
4 6
4 7
3 6
4 8
4 7
3 7
3 6

5. 5. 2 yellow and 5 red balls 7. 1 yellow and 2 red balls Two picks
1 6
0 2
2 7
1 3
5 6
2 2
2 6
1 2
5 7
2 3
4 6
1 2
6. 1 yellow and 6 red balls
Two picks
8. 3 yellow and 6 red balls
Two picks
0 6
2 8
1 7
3 9
6 6
6 8
1 6
3 8
6 7
6 9
5 6
5 8

6. 9. 3 yellow and 6 red balls Three picks Yellow Yellow Red Yellow
1 7
Yellow
Yellow
2 8
Red
6 7
3 9
Yellow
2 7
Yellow
6 8
Red
5 7
Red
2 7
Yellow
Yellow
3 8
6 9
Red
Red
5 7
3 7
Yellow
5 8
Red
Red
4 7

7. 10. 3 yellow and 7 red balls Three picks Yellow Yellow Red Yellow
1 8
Yellow
Yellow
2 9
Red
7 8
3 10
Yellow
2 8
Yellow
7 9
Red
6 8
Red
2 8
Yellow
Yellow
3 9
7 10
Red
Red
6 8
3 8
Yellow
6 9
Red
Red
5 8

8. 11. 2 yellow and 7 red balls Three picks Yellow Yellow Red Yellow
0 7
Yellow
Yellow
1 8
Red
7 7
2 9
Yellow
1 7
Yellow
7 8
Red
6 7
Red
1 7
Yellow
Yellow
2 8
7 9
Red
Red
6 7
2 7
Yellow
6 8
Red
Red
5 7

9. 12. 2 yellow and 7 red balls
Two picks
1 8
2 9
7 8
2 8
7 9
6 8

10. 13. 2 yellow, 7 red and 3 green balls Two picks
1 11
7 11 R
3 11 Y
2 12 G
2 11 Y
7 12
6 11 R R
3 11 G
3 12
2 11 Y G
7 11 R
2 11 G

11. 14. 4 yellow, 7 red and 3 green balls Two picks
3 13
7 13 R
3 13 Y
4 14 G
4 13 Y
7 14
7 13 R R
3 13 G
3 14
4 13 Y G
7 13 R
2 13 G