Math 9 · Unit 12: Probability · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. Arun wins with probability 0.4 and Sofia with probability 0.8. What is the probability they both win?

   • 0.6
   • 1.2
   • 0.32
   • 0.4
   Check

2. 2. Arun wins his match with probability 0.4. What is the probability he loses?

   • 0.4
   • 0.6
   • 1.4
   • 0.16
   Check

3. 3. Sofia wins her match with probability 0.8. What is the probability she loses?

   • 0.8
   • 0.08
   • 0.64
   • 0.2
   Check

4. 4. Arun wins with probability 0.4 and Sofia with probability 0.8. What is the probability they both lose?

   • 0.08
   • 0.8
   • 0.48
   • 0.12
   Check

5. 5. Marcus rolls a fair dice twice. What is the probability the first roll is 6?

   • 1/36
   • 1/6
   • 2/6
   • 1/12
   Check

6. 6. Marcus rolls a fair dice twice. What is the probability both rolls are 6?

   • 1/12
   • 2/6
   • 1/36
   • 1/6
   Check

7. 7. Marcus rolls a fair dice twice. What is the probability the first roll is NOT 6?

   • 1/6
   • 25/36
   • 4/6
   • 5/6
   Check

8. 8. Marcus rolls a fair dice twice. What is the probability neither roll is 6?

   • 10/12
   • 25/36
   • 5/6
   • 1/36
   Check

9. 9. Zara is taking a driving test in two parts, a theory test and a practical test. P(Zara passes the theory test) = 0.7 and P(Zara passes the practical test) = 0.6. What is the probability she passes both tests?

   • 0.42
   • 0.1
   • 1.3
   • 0.65
   Check

10. 10. Zara is taking a driving test in two parts, a theory test and a practical test. P(Zara passes the theory test) = 0.7 and P(Zara passes the practical test) = 0.6. What is the probability she fails the theory test?

    • 0.42
    • 0.4
    • 0.7
    • 0.3
    Check

11. 11. Zara is taking a driving test in two parts, a theory test and a practical test. P(Zara passes the theory test) = 0.7 and P(Zara passes the practical test) = 0.6. What is the probability she fails the theory test and passes the practical test?

    • 0.18
    • 0.42
    • 0.12
    • 0.28
    Check

12. 12. A spinner has three colours, red, white and blue. P(red) = 1/8 and P(white) = 1/4. The spinner is spun twice. What is the probability of landing on red both times?

    • 1/16
    • 2/8
    • 1/64
    • 1/4
    Check

13. 13. A spinner has three colours, red, white and blue. P(red) = 1/8 and P(white) = 1/4. The spinner is spun twice. What is the probability of landing on white then red?

    • 3/8
    • 1/12
    • 1/16
    • 1/32
    Check

14. 14. A spinner has three colours, red, white and blue. P(red) = 1/8 and P(white) = 1/4. The spinner is spun twice. What is the probability of landing on red then white?

    • 1/32
    • 3/8
    • 2/32
    • 1/12
    Check

15. 15. A spinner has three colours, red, white and blue. P(red) = 1/8 and P(white) = 1/4. The spinner is spun twice. What is the probability of landing on white then blue?

    • 1/32
    • 5/32
    • 5/8
    • 3/8
    Check

16. 16. A spinner has three colours, red, white and blue. P(red) = 1/8 and P(white) = 1/4. The spinner is spun twice. What is the probability of landing on blue both times?

    • 5/8
    • 25/64
    • 5/64
    • 10/16
    Check

17. 17. There are two trains. The probability that the first train is late is 0.25. The probability that the second train is late is 0.4. Write in the missing probabilities on the tree diagram.

    Fill the blanks with these.

    • 0.15
    • 0.65
    • 0.35
    • 0.4
    • 0.6
    • 0.75
    Check

18. 18. There are two trains. The probability that the first train is late is 0.25. The probability that the second train is late is 0.4. Find the probability that (i) both trains are late, (ii) neither train is late, (iii) at least one train is on time.

    • 0.65, 0.35, 0.65
    • 0.1, 0.15, 0.9
    • 0.1, 0.45, 0.9
    • 0.1, 0.45, 0.1
    Check

19. 19. There are two boxes of red and blue pencils. A pencil is taken at random from each box. The probability of choosing a red pencil from the first box is 0.6. The probability of choosing a red pencil from the second box is 0.35. Write in the missing probabilities on the tree diagram.

    Fill the blanks with these.

    • 0.65
    • 0.45
    • 0.25
    • 0.35
    • 0.4
    • 0.6
    Check

20. 20. There are two boxes of red and blue pencils. A pencil is taken at random from each box. The probability of choosing a red pencil from the first box is 0.6. The probability of choosing a red pencil from the second box is 0.35. Find the probability of choosing (i) two red pencils, (ii) no red pencils, (iii) a red pencil from the second box but not from the first.

    • 0.95, 0.05, 0.35
    • 0.21, 0.39, 0.14
    • 0.21, 0.26, 0.14
    • 0.21, 0.74, 0.35
    Check