Lesson 3p.07

3p.07 Use two-way tables, sample space diagrams, tree diagrams and Venn diagrams to... Quiz: Pearson Edexcel Statistics, Unit 3

20 questions

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Lesson 3p.07, Use two-way tables, sample space diagrams, tree diagrams and Venn diagrams to...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 3: Probability, written with Revision Ninja.

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The 20 questions

  1. What is impossible for two mutually exclusive events in a single trial?

    • Occurring together
    • Being independent
    • Having equal probabilities
    • Summing to one

  2. What does it mean if a set of events is exhaustive?

    • Equally likely
    • All outcomes covered
    • Mutually exclusive
    • Only one outcome

  3. Which is the addition law for two mutually exclusive events A and B?

    • P(A or B) = P(A) - P(B)
    • P(A or B) = P(A) / P(B)
    • P(A or B) = P(A) x P(B)
    • P(A or B) = P(A) + P(B)

  4. Which is the general addition law?

    • P(A and B) = P(A) + P(B)
    • P(A or B) = P(A) + P(B) - P(A and B)
    • P(A or B) = P(A) x P(B)
    • P(A or B) = P(A) + P(B)

  5. P(red) = 0.3 and P(blue) = 0.5 for mutually exclusive outcomes. What is P(red or blue)?

    • 0.8
    • 0.2
    • 0.15
    • 1.5

  6. What does a sample space diagram display?

    • Only successful results
    • All possible outcomes
    • Conditional probabilities
    • Experimental frequencies

  7. How many outcomes are in the sample space for rolling two dice?

    • 21
    • 6
    • 12
    • 36

  8. Which tool is best for showing frequencies across two categorical variables?

    • Tree diagram
    • Venn diagram
    • Two-way table
    • Sample space list

  9. Two coins are tossed. What is P(at least one head)?

    • 3/4
    • 1
    • 1/2
    • 1/4

  10. 40 students: 22 play sport and 18 do not. Of the sport players, 12 are girls; of the non-sport players, 10 are girls. How many girls are there in total?

    • 10
    • 22
    • 12
    • 40

  11. P(A) = 0.4, P(B) = 0.35 and P(A and B) = 0.15. What is P(A or B)?

    • 0.6
    • 0.2
    • 0.55
    • 0.75

  12. On a tree diagram, P(first red) = 0.4 and P(second red | first red) = 0.2. What is P(both red)?

    • 0.6
    • 0.08
    • 0.2
    • 0.8

  13. In a group of 60, 35 like tea, 28 like coffee and 10 like both. How many like neither?

    • 7
    • 17
    • 3
    • 25

  14. Events A and B are exhaustive and mutually exclusive, with P(A) = 0.2. What is P(B)?

    • 0.02
    • 0.8
    • 0.2
    • 0.5

  15. How many outcomes are there for three coin tosses?

    • 6
    • 9
    • 3
    • 8

  16. In a Venn diagram, where do outcomes belonging to both events A and B sit?

    • Circle A only
    • Outside circles
    • Region overlap
    • Circle B only

  17. Why is P(A or B) sometimes less than the sum P(A) + P(B)?

    • Sample size is small
    • Probabilities are negative
    • Overlap counted twice
    • Events are independent

  18. Which diagram shows all outcomes of three events in a simple branching layout?

    • A scatter diagram
    • A tree diagram
    • A histogram
    • A box plot

  19. From 36 equally likely outcomes of two dice, what is P(sum is 7)?

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

  20. If P(A and B) = 0.1, what can be deduced about events A and B?

    • Not mutually exclusive
    • Exhaustive events
    • Independent events
    • Mutually exclusive

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