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SHS Core Mathematics · Year 1

Probability of Independent Events practice questions

Sample spaces of simple and compound experiments, and finding and expressing the probability of two independent events as fractions, decimals, percentages or ratios.

26 questions in this topic: 3 recall, 10 applying skills and concepts, 11 strategic thinking and 2 extended thinking. Every one carries a written explanation.

Sample questions

5 of 26 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Skills & concepts

    Two independent flights have delay probabilities of 20% and 15%. The probability that BOTH flights are delayed is

    • a0.03, or 3%
    • b0.35, or 35%
    • c0.20, or 20%
    • d0.05, or 5%
  2. Question 2Strategic thinking

    In a survey, 6 out of 10 people eat pizza, so P(eats pizza) = 0.6. If three people are chosen at random with replacement, the probability that ALL THREE eat pizza is 0.6³, which is

    • a0.216
    • b0.6
    • c1.8
    • d0.36
  3. Question 3Strategic thinking

    A patient undergoes two independent medical tests: Test A is 90% accurate and Test B is 85% accurate. The probability that BOTH tests give accurate results is (9/10) × (17/20), which equals

    • a153/200
    • b9/20
    • c17/10
    • d76.5/100, unsimplified
  4. Question 4Skills & concepts

    Choosing a student from a class and then choosing another student from the same class without replacement is

    • aa dependent event, since removing the first student changes the composition of the group for the second choice
    • ban independent event, since the two choices are unrelated
    • cneither independent nor dependent, since only one student is chosen
    • dimpossible to classify without knowing the class size
  5. Question 5Skills & concepts

    In a tree diagram showing probabilities, the rule for combining probabilities is that you

    • amultiply along the branches (across a single path), and add down the diagram (across different paths)
    • badd along the branches and multiply down the diagram
    • calways multiply, regardless of direction
    • dalways add, regardless of direction

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