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2.3.10 Conditional probabilities (A-level only)

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Question 11

In a survey of 100 households, 60 subscribe to a streaming service SSS, 45 visit a cinema C C\,C and 40 attend live performances LLL. Thirty do both S S\,S and CCC, 28 do both S S\,S and LLL, 25 do both C C\,C and LLL, and 15 do all three. Pairwise totals include those who do all three.

a.

Find the number of households that do exactly two of the three activities.

[3]
b.

Given that a household does at least one of the activities, find the probability that it does exactly one.

[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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