A local community has two newspapers: the morning tomes and the evening dispatch. The morning...
MATHEMATICS
WAEC 2022
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
Correct Answer: C. 0.85
Explanation
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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