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Questions › DSE › DSE 2010 › Q45
2 marksStatistics › Probability and Bayes' theorem › Sampling with and without replacementModerateabout 3 min

DSE 2010 Question 45: Probability and Bayes' theorem

Suppose 10 athletes are running in a race and exactly 2 of them are taking banned drugs. An investigator randomly selects 2 athletes for drug-testing. What is the probability that neither of the cheaters will be caught?

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Suppose 10 athletes are running in a race and exactly 2 of them are taking banned drugs. An investigator randomly selects 2 athletes for drug-testing. What is the probability that neither of the cheaters will be caught? (A) 16/25 (B) 4/5 (C) 3/5 (D) 28/45

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Sampling with and without replacement, part of Probability and Bayes' theorem in Statistics.

Drawing from a finite population and the hypergeometric probabilities that result.

TestStop has 14 past-paper questions on this subtopic.

Practise Probability and Bayes' theoremMore on Sampling with and without replacement

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Question from the DSE 2010 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.