1. Tree Diagrams – Unconditional – Worksheet A
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3. P P F P F F 1. Mark Diana Results
The probability Mark passes his driving test is The probability Diana passes is
Complete the Tree Diagram and find the probability they both pass their tests.
Mark
Diana
Results P P F P F F

4. 2.
The probability Sally passes her history test is The probability Jim passes is
a) Complete the Tree Diagram and find the probability they both fail their tests.
b) What is the probability at least one of them passes?
Sally
Jim
Results

5. 3.
The probability Jim passes his maths test is The probability he passes English is
Complete a Tree Diagram and find the probability he passes both tests.
What is the probability he fails both tests?
c) What is the probability he passes only one test?

6. 4.
The probability Helen passes her English test is The probability she passes History is
Complete a Tree Diagram and find the probability she passes at least one test.

7. Answers 1 3 x 5 6 = 1 3 x 1 6 = 2 3 x 5 6 = 2 3 x 1 6 = P PP P F PF P1.
The probability Mark passes his driving test is The probability Diana passes is
Complete the Tree Diagram and find the probability they both pass their tests.
5 18
Mark
Diana
Results
5 6
1 3 x =
5 18 P PP P
1 3
1 6
1 3 x =
1 18 F PF
5 6
2 3 x =
10 18 P FP
2 3 F
1 6
2 3 x =
2 18 F FF
Answers

8. Answers 4 5 x 2 3 = 4 5 x 1 3 = 1 5 x 2 3 = 1 5 x 1 3 = P PP P F PF P2.
The probability Sally passes her history test is The probability Jim passes is
1 15
a) Complete the Tree Diagram and find the probability they both fail their tests.
b) What is the probability at least one of them passes?
14 15
Sally
Jim
Results
2 3
4 5 x =
8 15 P PP
4 5 P
4 5 x =
4 15
1 3 F PF
2 3
1 5 x =
2 15 P FP
1 5 F
1 5 x =
1 15
1 3 F FF
Answers

9. Answers 7 10 x 4 5 = 7 10 x 1 5 = 3 10 x 4 5 = 3 10 x 1 5 = P PP P F3.
The probability Jim passes his maths test is The probability he passes English is
Complete a Tree Diagram and find the probability he passes both tests.
What is the probability he fails both tests?
c) What is the probability he passes only one test?
28 50
3 50
19 50
Maths
English
Results
4 5
7 10 x =
28 50 P PP
7 10 P
7 10 x =
7 50
1 5 F PF
4 5
3 10 x =
12 50 P FP
3 10 F
3 10 x =
3 50
1 5 F FF
Answers

10. Answers 4 9 x 3 7 = 4 9 x 4 7 = 5 9 x 3 7 = 5 9 x 4 7 = P PP P F PF P4.
The probability Helen passes her English test is The probability she passes History is
Complete a Tree Diagram and find the probability she passes at least one test.
43 63
English
History
Results
3 7
4 9 x =
12 63 P PP
4 9 P
4 9 x =
16 63
4 7 F PF
3 7
5 9 x =
15 63 P FP
5 9 F
5 9 x =
20 63
4 7 F FF
Answers

11. Answers

12. 1. 3. 2. 4.

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