P7 construct theoretical possibility spaces for single and combined experiments with... Quiz: Pearson Edexcel Maths, Unit 5

The 20 questions

1. What is a possibility space used to list?

   • Sample frequencies
   • Theoretical averages
   • Biased outcomes
   • Equally likely outcomes

2. What is the probability of rolling a 3 on a fair die?

   • 1/36
   • 1/3
   • 1/6
   • 1/2

3. What is the probability that two fair dice have a total of 9?

   • 1/6
   • 1/8
   • 1/12
   • 1/9

4. What is the probability of getting two heads when two fair coins are tossed?

   • 1/3
   • 3/4
   • 1/4
   • 1/2

5. What is the probability that two fair dice show the same number?

   • 1/3
   • 1/12
   • 1/36
   • 1/6

6. A fair spinner numbered 1 to 4 and a fair coin are used together. What is the probability of 4 and tails?

   • 1/2
   • 1/4
   • 1/16
   • 1/8

7. A bag has 3 red, 5 blue and 2 green counters. What is the probability of not picking blue?

   • 0.2
   • 0.7
   • 0.3
   • 0.5

8. What is the probability that the product of two fair dice is 12?

   • 1/9
   • 1/12
   • 1/6
   • 1/18

9. Two fair coins are tossed. What is the probability of exactly one head?

   • 3/4
   • 1/4
   • 1/3
   • 1/2

10. Two fair dice are rolled. How many outcomes have a difference of 1 between the two numbers?

    • 6
    • 12
    • 8
    • 10

11. Three fair coins are tossed. What is the probability of exactly two tails?

    • 1/2
    • 1/8
    • 1/4
    • 3/8

12. A standard 52-card pack is used. What is the probability of picking a red king?

    • 1/13
    • 1/52
    • 1/26
    • 2/13

13. A spinner has 5 equal sectors, 2 of which are red. What is the probability of not red?

    • 3/5
    • 1/5
    • 2/5
    • 2/3

14. Two draws are made with replacement from a bag with 2 red and 1 blue counter. How many outcomes are in the possibility space?

    • 6
    • 9
    • 4
    • 3

15. Two draws are made without replacement from a bag with 2 red and 1 blue counter. What is the probability of two reds?

    • 1/9
    • 2/3
    • 1/3
    • 1/2

16. Three fair dice are rolled. What is the probability that the total is 3?

    • 1/36
    • 1/216
    • 3/18
    • 1/6

17. Why can a standard possibility space not be used for a biased coin?

    • Unequal outcome probabilities
    • Only one outcome
    • Too many trials
    • Infinite possibilities

18. How many outcomes are there when four coins are tossed?

    • 16
    • 4
    • 24
    • 8

19. Spinner A has sectors 1, 2 and 3. Spinner B has sectors 1, 2, 3 and 4. Both are fair. What is the probability that the sum is 5?

    • 1/6
    • 1/3
    • 1/5
    • 1/4

20. Two fair dice are rolled. What is the probability that the product is even?

    • 3/4
    • 1/2
    • 1/4
    • 2/3

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