A survey of poor rural households finds 40% own a radio, 15% own a television and 60% own a bicycle. Also 5% own both radio and television, 26% own both radio and bicycle, 5% own both television and bicycle, and 1% own all three. If a randomly selected household owns exactly one of these three assets, what is the probability that it is a bicycle?
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A survey of poor rural households finds 40% own a radio, 15% own a television and 60% own a bicycle. Also 5% own both radio and television, 26% own both radio and bicycle, 5% own both television and bicycle, and 1% own all three. If a randomly selected household owns exactly one of these three assets, what is the probability that it is a bicycle? (A) 20/23 (B) 17/23 (C) 15/23 (D) 12/23
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Addition rule, complements and inclusion-exclusion, part of Probability and Bayes' theorem in Statistics.
The probability of at least one of several events, and of none.
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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.