L2-26 Work out the probability of combined events including the use of diagrams and tables, including two-way tables Quiz: Pearson Edexcel Functional Skills Maths, Unit 2

The 20 questions

1. What is the probability of a certain event?

   • 0.5
   • 0
   • 1
   • 2

2. How many outcomes are in the sample space for rolling a fair six-sided die?

   • 12
   • 3
   • 36
   • 6

3. In a two-way table, what do the row and column totals represent?

   • Marginal frequencies
   • Combined totals
   • Expected frequencies
   • Conditional probabilities

4. For mutually exclusive events A and B, how is P(A or B) calculated?

   • Subtracting probabilities
   • Adding probabilities
   • Dividing probabilities
   • Multiplying probabilities

5. For independent events A and B, how is P(A and B) found?

   • Dividing the probabilities
   • Adding the probabilities
   • Subtracting the probabilities
   • Multiplying the probabilities

6. How many outcomes are listed in the sample space for tossing two coins?

   • 2
   • 8
   • 3
   • 4

7. What do the probabilities of all outcomes in a sample space add up to?

   • 1
   • 0.5
   • 0
   • 2

8. Which diagram lists all the outcomes of two events in a grid?

   • Scatter diagram
   • Pie chart
   • Sample space diagram
   • Histogram

9. A spinner has red 0.3, blue 0.4 and green 0.3. What is the probability of not blue?

   • 0.7
   • 0.3
   • 0.6
   • 0.4

10. Two fair coins are tossed. What is the probability of two heads?

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

11. A bag holds 3 red, 5 blue and 2 green counters. What is the probability of picking red?

    • 3/8
    • 3/10
    • 2/5
    • 3/5

12. In a two-way table, boys: football 12, other 8. Girls: football 5, other 15. What is the probability that a student plays football?

    • 5/20
    • 17/40
    • 1/2
    • 12/20

13. Two fair dice are rolled. What is the probability that the total is 7?

    • 1/12
    • 7/36
    • 1/36
    • 1/6

14. A bag holds 2 red and 3 blue counters. Two are taken without replacement. What is the probability both are red?

    • 2/5
    • 1/4
    • 1/10
    • 4/25

15. In a class of 30, 18 students play a sport. What is the probability that a random student does not play a sport?

    • 1/5
    • 2/5
    • 3/5
    • 3/4

16. Events A and B are independent, with P(A) = 0.4 and P(B) = 0.25. What is P(A and B)?

    • 0.65
    • 0.15
    • 0.1
    • 0.625

17. P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.2. What is P(A or B)?

    • 0.9
    • 0.7
    • 0.2
    • 0.3

18. Two dice are rolled. What is the probability of at least one six?

    • 25/36
    • 1/3
    • 11/36
    • 1/6

19. A bag holds 4 red and 6 blue counters. Two are taken without replacement. What is the probability they are different colours?

    • 4/9
    • 8/15
    • 1/2
    • 12/25

20. An event has probability 0.3. It is tested 200 times. How many times is it expected to occur?

    • 60
    • 600
    • 6
    • 30

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