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Conditional Probabilities in Venn Diagrams

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Question 32

A group of 100 students were surveyed about the clubs they joined.

34 students joined the Art club (A) 40 students joined the Music club (M) 35 students joined the Drama club (D) 12 students joined both Art and Music 15 students joined both Music and Drama 10 students joined both Art and Drama 4 students joined all three clubs

a.

Draw a Venn diagram to represent this information.

[3]
b.

A student is selected at random from the group.

Find the probability that the student joined the Music club but neither the Art nor the Drama club.

[1]
c.

Find the probability that the student joined the Music club or the Drama club or both.

[1]
d.

Given that the student joined the Music club or the Drama club or both,

find the probability that the student did not join the Art club.

[2]
e.

Determine whether joining the Art club and joining the Music club are statistically independent. Justify your answer.

[2]

Conditional Probabilities in Venn Diagrams Questions

  1. A Level
  2. /Maths
  3. /Conditional Probabilities in Venn Diagrams

Practise Edexcel A Level Maths Conditional Probabilities in Venn Diagrams with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank