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2.3.10 Conditional probabilities (A-level only)

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Question 50

A company has three machines. Machines AAA, B B\,B and C C\,C produce 40%, 35% and 25% of the components respectively. Their respective faulty rates are 3%, 2% and 1%.

a.

Draw a tree diagram to show this information.

[3]
b.

Find the probability that a randomly selected component is faulty.

[2]
c.

Given that a component is faulty, find the probability that it was produced by machine CCC.

[3]
Markscheme

2.3.10 Conditional probabilities (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.3.10 Conditional probabilities (A-level only)

164 exam-style questions on OCR (MEI) A Level Maths 2.3.10 Conditional probabilities (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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