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SHS Core Mathematics · Year 2

Working with Data & Probability Experiments practice questions

Advanced statistical and probability reasoning, including probability experiments and their application to real-life decision-making.

28 questions in this topic: 10 recall, 11 applying skills and concepts, 4 strategic thinking and 3 extended thinking. Every one carries a written explanation.

Sample questions

5 of 28 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Skills & concepts

    A fair die is rolled once. The probability that a multiple of 3 (i.e. 3 or 6) is rolled is

    • a1/3
    • b1/6
    • c2/3
    • d1/2
  2. Question 2Extended thinking

    For the same two players, using the complement of "neither scores", the probability that AT LEAST ONE of them scores is

    • a0.7704
    • b0.1296
    • c0.2296
    • d0.6408
  3. Question 3Recall

    For independent events C and F, the probability that BOTH occur is given by the rule

    • aP(C∩F) = P(C) × P(F)
    • bP(C∩F) = P(C) + P(F)
    • cP(C∩F) = P(C) − P(F)
    • dP(C∩F) = P(C) / P(F)
  4. Question 4Skills & concepts

    Predictive text on a phone keyboard, which suggests likely next words as you type, is an application of probability because

    • athe keyboard uses your typing patterns to estimate which word you are most likely to want next
    • bit always guesses randomly with no pattern
    • cit requires no data about past typing at all
    • dit only works for numbers, not words
  5. Question 5Recall

    Two events are described as "mutually exclusive" when

    • athey cannot both occur at the same time
    • bone event happening makes the other more likely
    • cthey always occur together
    • dneither event can ever occur

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