The probabilities that and speak the truth independently are and respectively. If they make the same statement, , then the probability that the statement is indeed true is
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4 marks, −1StatisticsProbability and Bayes' theoremTotal probability and Bayes' theoremModerateabout 2 min
JNU SIS 2014 Question 11: Probability and Bayes' theorem
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The probabilities that A and B speak the truth independently are 0·6 and 0·8 respectively. If they make the same statement, S, then the probability that the statement S is indeed true is (A) 2/7 (B) 12/25 (C) 6/7 (D) 6/25
Also written as: The probabilities that A and B speak the truth independently are 0*6 and 0*8 respectively. If they make the same statement, S, then the probability that the statement S is indeed true is
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
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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