P7 Possibility spaces and theoretical probability Quiz: AQA Maths, Unit 5

The 20 questions

1. What name is given to a list showing all possible outcomes of an event?

   • Frequency tree
   • Sample population
   • Venn diagram
   • Possibility space

2. How many outcomes are in the possibility space for rolling two fair dice?

   • 12
   • 36
   • 21
   • 6

3. What is the theoretical probability of a total of 2 when two fair dice are rolled?

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

4. A spinner has 3 equal sections. What is the probability of landing on any one section?

   • 3
   • 1/4
   • 1/3
   • 1/2

5. Two fair coins are tossed. What is the probability of getting at least one head?

   • 1
   • 3/4
   • 1/4
   • 1/2

6. Spinner A has sections 1 to 3 and spinner B has sections 1 and 2. How many outcomes are there when both are spun?

   • 5
   • 2
   • 6
   • 3

7. What is the probability of drawing a red card from a standard 52-card deck?

   • 1/4
   • 1/2
   • 1/13
   • 3/4

8. When two fair dice are rolled, which total is the most likely?

   • 11
   • 12
   • 2
   • 7

9. Two fair dice are rolled. What is the probability that the total is 5?

   • 1/6
   • 1/9
   • 5/36
   • 1/12

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

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

11. A bag has 3 red and 5 blue counters. A counter is picked at random. What is the probability it is blue?

    • 1/2
    • 5/8
    • 5/3
    • 3/8

12. Spinner A shows 1 to 4 and spinner B shows 1 and 2. What is the probability both show the same number?

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

13. Two coins are tossed and a dice is rolled. What is the probability of two heads and a 6?

    • 1/24
    • 1/12
    • 1/6
    • 1/8

14. Cards numbered 1, 2 and 3 are drawn twice with replacement. What is the probability that the total is 4?

    • 2/9
    • 1/3
    • 4/9
    • 1/9

15. Two dice are rolled. What is the probability that the first roll is bigger than the second?

    • 1/2
    • 1/6
    • 5/12
    • 5/36

16. Two dice are rolled. What is the probability of getting at least one 6?

    • 11/36
    • 6/36
    • 1/3
    • 1/6

17. (H) Two fair dice are rolled. What is the probability that the total is greater than 10?

    • 1/6
    • 1/9
    • 1/18
    • 1/12

18. (H) Two fair dice are rolled. What is the probability that the total is a prime number?

    • 1/2
    • 5/36
    • 1/3
    • 5/12

19. (H) Two coins and one fair dice are used. What is the probability of exactly one head and an even number on the dice?

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

20. (H) Three fair coins are tossed. What is the probability of exactly two heads?

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

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