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Conditional Probabilities in Venn Diagrams

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Question 27

A research study analyzed 150 local councils to determine which wildfire prevention strategies they implemented. The strategies monitored were Prescribed Burns (BBB), Firebreaks (FFF), and Vegetation Management (VVV). The findings were as follows:

  • 85 councils implemented Prescribed Burns (BBB)
  • 70 councils implemented Firebreaks (FFF)
  • 75 councils implemented Vegetation Management (VVV)
  • 48 implemented both Prescribed Burns and Firebreaks
  • 38 implemented both Firebreaks and Vegetation Management
  • 42 implemented both Prescribed Burns and Vegetation Management
  • 25 implemented all three strategies
a.

Draw a Venn Diagram to represent these data.

[3]
b.

Find the probability that a randomly selected council from the study:

implemented none of these strategies,

[1]
c.

Find the probability that a randomly selected council from the study:

implemented Firebreaks but did not implement Prescribed Burns,

[2]
d.

Find the probability that a randomly selected council from the study:

implemented at least two of these strategies.

[2]
e.

A specific council, RedLeaf, is known to have implemented Prescribed Burns.

Find the probability that RedLeaf implemented Firebreaks but did not implement Vegetation Management.

[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