← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 11 · Probability
Probability: Venn Diagrams & Rules (Grade 11)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 24

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    In the Venn diagram below, 40 learners were surveyed. Determine n(A).
    (2)
    SAB158125
  2. 2
    Using the Venn diagram below, calculate P(A and B).
    (2)
    SAB158125
  3. 3
    Using the Venn diagram below, calculate P(A or B).
    (2)
    SAB158125
  4. 4
    Using the Venn diagram below, calculate the probability that a learner takes neither A nor B.
    (2)
    SAB158125
  5. 5
    P(A) = 0,4, P(B) = 0,5 and P(A and B) = 0,2. Are A and B independent? Show your working.
    (3)
  6. 6
    P(A) = 0,3, P(B) = 0,45 and A and B are mutually exclusive. Calculate P(A or B).
    (2)
  7. 7
    If P(A) = 0,62, calculate P(not A).
    (1)
  8. 8
    Explain the difference between mutually exclusive and complementary events.
    (2)
  9. 9
    A coin is tossed 400 times and lands heads 214 times. Calculate the relative frequency of heads and comment on whether the coin appears fair.
    (2)
  10. 10
    In a class of 40: 22 play soccer, 18 play netball, 15 play tennis; 9 play soccer and netball, 7 play soccer and tennis, 6 play netball and tennis, and 4 play all three. How many play none of the three?
    (4)
  11. 11
    Explain why you must fill a three-event Venn diagram from the CENTRE outwards.
    (2)
TOTAL: 24 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.