A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households. The Evening Dispatch is read by 60% of the households. Twenty percent of the households read both papers. What is the probability that a particular household reads at least one paper?

  • A 0.45
  • B 0.65
  • C 0.85
  • D 0.95
waec 2022mathematics

The correct answer is C. 0.85

Note that the group that reads both papers is being counted twice.

    (percentages add up beyond 100%)

Let M = those reading the Morning Times,

       E = those reading the Evening Dispatch

P( M or E) = P(M) + P(E) – P(M and E)

          = 0.45 + 0.60 – 0.20 

          = 0.85

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