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Conditional Probabilities in Venn Diagrams

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Question 23

A marine biology study classifies specimens by three characteristics: Bioluminescence (BBB), High-pressure tolerance (HHH), and Toxicity (TTT). These are represented in a Venn diagram where BBB and TTT are mutually exclusive, while HHH overlaps with both BBB and TTT. The associated probabilities for a randomly selected organism are:

  • The probability of possessing only Bioluminescence is 0.28.
  • The probability of possessing both Bioluminescence and High-pressure tolerance is 0.12.
  • The probability of possessing only High-pressure tolerance is 0.20.
  • The probability of possessing both High-pressure tolerance and Toxicity is 0.15.
  • The probability of possessing only Toxicity is 0.14.
  • The probability of possessing none of these characteristics is 0.11.

Find

a.

P(H′)P(H')P(H′)

[2]
b.

P(B∪T)P(B \cup T)P(B∪T)

[2]
c.

P(B∣H′)P(B | H')P(B∣H′)

[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