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Questions › JNU › JNU SSS 2018 › Q14
1 mark, −0.25Statistics › Probability and Bayes' theorem › Conditional probability and the multiplication ruleHardabout 2 min

JNU SSS 2018 Question 14: Probability and Bayes' theorem

AAA and BBB are events. P(A)P(A)P(A), the probability of event AAA, is strictly greater than 0. P(B)P(B)P(B), the probability of event BBB, is strictly greater than 0. P(A∣B)P(A|B)P(A∣B) is the probability of AAA given BBB. P(B∣A)P(B|A)P(B∣A) is the probability of BBB given AAA. It is known that P(A∣B)<P(A)P(A|B) < P(A)P(A∣B)<P(A). Which of the following statements is necessarily true?

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A and B are events. P(A), the probability of event A, is strictly greater than 0. P(B), the probability of event B, is strictly greater than 0. P(A|B) is the probability of A given B. P(B|A) is the probability of B given A. It is known that P(A|B) < P(A). Which of the following statements is necessarily true? (A) P(B|A) < P(A) (B) P(B|A) < P(B) (C) P(B|A) ≥ P(B) (D) None of the above

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

What this question tests

This question is on Conditional probability and the multiplication rule, part of Probability and Bayes' theorem in Statistics.

Probabilities that change when you know something has happened.

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Question from the JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.