In a population of men in a city, 3% are observed to suffer from cancer, 15% are found to be smokers, while 10% are noticed to be either smokers or cancer patients. If a man is selected at random, what is the probability that he is a smoker and suffering from cancer?
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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 UGC-NET 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.