Grade 10 Maths · Probability

Find probability from a Venn diagram

Find a probability by choosing and adding the right parts of a Venn diagram, for example learners who play soccer only, or neither sport.

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Probability Grade 10 | Venn DiagramKevinmathscience

Probability Grade 10 | Venn Diagram PracticeKevinmathscience

Gr 11 Probability: Venn diagram practiceKevinmathscience

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Question 11.2 · November 2024 · Paper 1 · National (DBE) · 2 marks

A certain number of learners are sitting for examinations in Mathematics (M), Tourism (T) and Geography (G). Total M=22, Total T=16, Total G=18. 5 sit for M and T but not G. 4 sit for M and G but not T. 3 sit for T and G but not M. 6 sit for only T. All learners sit for at least one.

11.2 Calculate the probability that a learner, chosen at random, will sit for examinations in at least TWO of the subjects.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: find probability from a venn diagram

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3. Question 9.1.3 · November 2025 · Paper 1 · Provincial · 2 marks
9.1 A and B are independent events. It is further given that:
• P(A) = 0,3
• P(B) = 0,6
9.1.3 Calculate P(not A and not B).(2)
Show the memo (1 tick)Memo
1. ✓
  AnswerP(not A and not B) $=$ P[not(A or B)] $= 0, 28$
  2 marks · Find probability from a Venn diagram
4. Question 3.1.3 · September 2024 · Provincial · 3 marks
3.1 Given: $P (A) = 0, 4$ ; $P (B) = 0, 5$ and $P (A and B) = 0, 25$ . Determine the:
3.1.3 $P (not A and B)$ (3)
Show the memo (2 ticks)Memo
1. ✓
  $0, 5 - 0, 25$ (double tick) $P (not A and B) = P (B) - P (A and B) = 0, 5 - 0, 25$
  2 marks · Find probability from a Venn diagram
2. ✓
  Answer $= 0, 25$
  1 mark · Find probability from a Venn diagram
5. Question 9.2.2 · November 2024 · Paper 1 · Provincial · 2 marks
9.2 At a certain high school, a survey was carried out on 110 learners, about their subject choices. The Venn diagram shows the results of the survey in terms of:

• Mathematics (M)
• Physical Sciences (P)
• Accounting (A)

Answer the questions that follow. $Diagram for question 9.2$
9.2.2 Calculate the probability that a learner chosen at random does only one of the three subjects.(2)
Show the memo (2 ticks)Memo
1. ✓
  $65$ $26 + 24 + 15 = 65$
  1 mark · Find probability from a Venn diagram
2. ✓
  Probability $\frac{65}{110}$ or $\frac{13}{22}$ or $0, 59$
  1 mark · Find probability from a Venn diagram

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