Consider five urns numbered 1 to 5, where each urn contains 10 balls. Urn 1 has defective balls and nondefective balls. In an experiment, an urn is selected at random, and then a ball is selected at random from that urn. What is the probability that a defective ball is selected? If the ball is defective, what is the probability that it came from urn 2?
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Consider five urns numbered 1 to 5, where each urn contains 10 balls. Urn 1 has i defective balls and (10 - i) nondefective balls. In an experiment, an urn is selected at random, and then a ball is selected at random from that urn. What is the probability that a defective ball is selected? If the ball is defective, what is the probability that it came from urn 2? (A) 7/10; 2/5 (B) 3/10; 2/15 (C) 1/5; 3/25 (D) 3/5; 2/5
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Total probability and Bayes' theorem, part of Probability and Bayes' theorem in Statistics.
Reversing a conditional probability and updating beliefs from evidence.
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Question from the JNU SIS 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.