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Calculating theoretical probabilities from two-way tables (two events)

Quiz by Oak National Academy: KS3 Maths (2)

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6 questions
Show answers
  • Q1
    In a fair six-sided die, what is the probability of rolling a 5 and getting a head in a single toss of a fair coin?
    \frac{1}{12}
    \frac{1}{6}
    \frac{1}{2}
    30s
  • Q2
    A counter is taken from the bag. Its letter is noted and then it is placed back into the bag. A counter is taken from the bag again. Which of these options is not the correct sample space?
    Question Image
    ξ = {AA, AB, BA, BB, BC, CA, CB, CC}
    ξ = {AA, AB, AC, BA, BB, BC, CA, CB, CC}
    30s
  • Q3
    If the probability of an event (A) is /frac{3}{7}, and the experiment is repeated 49 times, what is the theoretical number of times event (A) will occur?
    49
    21
    7
    3
    30s
  • Q4
    Which of the events {A,B,C} is the least likely to occur according to this probability tree?
    Question Image
    None.
    B
    A
    C
    30s
  • Q5
    John uses an unbiased random selection tool to generate a single letter of the alphabet. It is repeated three times. Which of the following letter sequences is the least likely?
    B,I,N
    M,O,O
    A,G,H
    All selections are equally likely
    A,A,A
    30s
  • Q6
    There are two trials. In Trial 1, a spinner with {A, B} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statement is true?
    The total number of possible outcomes in Trial 1 is less than in Trial 2.
    The total number of possible outcomes in Trial 1 is the same are in Trial 2.
    The total number of possible outcomes in Trial 1 is greater than in Trial 2.
    30s

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