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Conditional Probability

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Question 129

In a study of genetically modified crop cultures, let R R\,R be the event that a culture exhibits rapid growth and S S\,S be the event that it shows stress resistance. Historical data suggests that:

P(R∩S)=0.12 P(R \cap S) = 0.12 P(R∩S)=0.12 P(R′∩S′)=0.28 P(R' \cap S') = 0.28 P(R′∩S′)=0.28 P(S)=2P(R) P(S) = 2P(R) P(S)=2P(R)
a.

Determine P(R)P(R)P(R).

[4]
b.

Find the probability that a culture shows stress resistance, given that it exhibits rapid growth.

[2]
c.

Determine, with a calculation, whether R R\,R and S S\,S are independent events.

[1]

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability

Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 152 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