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Chapter 11 Practice Paper: Probability of Single Events — question paper

QuizQuipPractice Series
QQ/S2MATH/CH11

Secondary 2 · Lower Secondary Mathematics (G2 / G3)

Chapter 11 Practice Paper

Probability of Single Events

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
  • Section B: write your answers in the spaces provided.
  • Show all working. Marks may be awarded for correct working even if the final answer is wrong.
  • Give units with your answers where appropriate.
  • The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 11.

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

  1. 1

    The probability of an impossible event is

    1. A1
    2. B0.5
    3. C−1
    4. D0
    ( )
  2. 2

    One card is drawn from a standard deck of 52. P(king) is

    1. A1/4
    2. B1/13
    3. C1/52
    4. D4/13
    ( )
  3. 3

    A fair die is rolled once. P(even number) is

    1. A1/6
    2. B1/3
    3. C1/2
    4. D2/3
    ( )
  4. 4

    One card is drawn from a standard deck. P(heart or spade) is

    1. A1/2
    2. B1/4
    3. C1/13
    4. D3/4
    ( )
  5. 5

    A fair spinner shows 1 to 5, each equally likely. P(odd number) is

    1. A1/5
    2. B3/5
    3. C2/5
    4. D1/2
    ( )
  6. 6

    If P(rain) = 0.3, then P(no rain) is

    1. A0.3
    2. B1.3
    3. C0
    4. D0.7
    ( )
  7. 7

    A die is thrown 60 times and shows a six 21 times. The relative frequency of a six is

    1. A0.6
    2. B6/21
    3. C0.35
    4. D21
    ( )
  8. 8

    An event has probability 0.25 and is tried 80 times. The expected number of successes is

    1. A20
    2. B25
    3. C32
    4. D4
    ( )
  9. 9

    Which of these could be a probability?

    1. A9/8
    2. B7/8
    3. C1.5
    4. D−0.2
    ( )
  10. 10

    The probabilities of all the outcomes of an experiment add up to

    1. A0
    2. B10
    3. C100
    4. D1
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Give fractions in their simplest form where possible.

  1. 1

    An ordinary fair die is rolled once.

    1. (a)

      Write down the sample space.

      [1]
    2. (b)

      State the chance of rolling a prime.

      [2]
    3. (c)

      Give the probability of a non-prime.

      P =[1]
    4. (d)

      What is the chance of a square?

      P =[1]
  2. 2

    A bag holds 5 red, 3 blue and 2 white counters. One counter is drawn at random.

    1. (a)

      Find P(red).

      P =[1]
    2. (b)

      Work out the chance of drawing white.

      P =[1]
    3. (c)

      Find P(not blue).

      [2]
    4. (d)

      The experiment is repeated 40 times. How many blue counters would you expect?

      expected =[1]
  3. 3

    Over the past 200 school days, Zhiwei’s bus arrived late 34 times.

    1. (a)

      Find the relative frequency of the bus being late.

      [2]
    2. (b)

      Use this to estimate the probability that the bus is late tomorrow.

      P ≈[1]
    3. (c)

      There are 60 school days next term. Estimate how many of them the bus will be late.

      [2]
  4. 4

    The letters of the word MATHEMATICS (11 letters) are placed in a hat, and one is drawn.

    1. (a)

      Find P(letter M).

      P =[1]
    2. (b)

      State the probability of drawing a vowel.

      [2]
    3. (c)

      Find P(letter H).

      P =[1]
    4. (d)

      Find P(not a vowel).

      P =[1]

— End of paper —