Complement and Difference Probabilities

A question is this type if and only if it asks for probabilities involving complements (A'), differences (A ∩ B'), or symmetric differences [(A ∩ B') ∪ (A' ∩ B)].

1 questions · Moderate -0.8

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Edexcel S1 Q1
7 marks Moderate -0.8
70% of the households in a town have a CD player and 45% have both a CD player and a personal computer (PC). 18% have neither a CD player nor a PC.
  1. Illustrate this information using a Venn diagram. [3 marks]
  2. Find the percentage of the households that do not have a PC. [2 marks]
  3. Find the probability that a household chosen at random has a CD player or a PC but not both. [2 marks]