P3 Relative expected frequency and theoretical probability Quiz: AQA Maths, Unit 5

The 20 questions

1. How is theoretical probability calculated for equally likely outcomes?

   • Favourable × total
   • Favourable ÷ total
   • Favourable − total
   • Total ÷ favourable

2. Probabilities are measured on a scale from which value to which value?

   • -1 to 1
   • 0 to 100
   • 0 to 1
   • 1 to 10

3. What is the probability of an impossible event?

   • 0
   • 1
   • 0.5
   • -1

4. What is the probability of a certain event?

   • 0.5
   • 100
   • 1
   • 0

5. What is the theoretical probability of rolling an even number on a fair six-sided dice?

   • 1/6
   • 1/2
   • 2/3
   • 1/3

6. A coin has been tossed 100 times. About how many heads are expected if the coin is fair?

   • 25
   • 100
   • 0.5
   • 50

7. Which description best fits an event with probability 0.1 on the 0 to 1 scale?

   • Certain
   • Unlikely
   • Evens
   • Likely

8. What percentage corresponds to a theoretical probability of 3/4?

   • 75%
   • 34%
   • 0.75%
   • 25%

9. A spinner has 8 equal sections, 3 of which are blue. What is the theoretical probability of blue?

   • 3/8
   • 1/3
   • 3/5
   • 5/8

10. After 1000 coin tosses, the relative frequency of heads is 0.49. What is the theoretical probability of heads for a fair coin?

    • 0.1
    • 0.5
    • 0.49
    • 0.51

11. A bag holds 5 red, 7 green and 8 blue counters. What is the probability of not drawing a blue counter?

    • 8/20
    • 2/5
    • 7/12
    • 3/5

12. A fair six-sided dice is rolled. What is the probability of a prime number?

    • 1/2
    • 2/3
    • 1/6
    • 1/3

13. A coin lands on heads 245 times in 500 flips. What is the relative frequency of heads?

    • 0.50
    • 0.51
    • 0.49
    • 0.245

14. What is the probability of drawing an ace from a standard 52-card deck?

    • 4/13
    • 1/4
    • 1/52
    • 1/13

15. A fair six-sided dice is rolled. What is the probability of a number greater than 4?

    • 1/6
    • 1/3
    • 1/2
    • 2/3

16. A spinner has theoretical probability 0.25 for red. How many reds are expected in 400 spins?

    • 160
    • 100
    • 25
    • 400

17. (H) A dice is thrown 600 times and a 6 appears 80 times. What is the relative expected frequency of a 6 as a fraction in simplest form?

    • 2/15
    • 1/6
    • 4/15
    • 1/5

18. Why might relative frequency differ from theoretical probability in a small experiment?

    • Calculation error
    • Random variation
    • Impossible probabilities
    • Biased outcomes

19. (H) A bag contains only red and blue counters in the ratio 3:7. What is the probability of red?

    • 7/10
    • 3/4
    • 3/7
    • 3/10

20. (H) What is the theoretical probability of getting two heads when two fair coins are tossed?

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

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