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Questions › JNU › JNU SSS 2018 › Q15
1 mark, −0.25Statistics › Probability and Bayes' theorem › Addition rule, complements and inclusion-exclusionModerateabout 2 min

JNU SSS 2018 Question 15: Probability and Bayes' theorem

AAA and BBB are events. ACA^CAC is the complement of AAA. BCB^CBC is the complement of BBB. P(A)P(A)P(A), the probability of event AAA, is 0·60. P(B)P(B)P(B), the probability of event BBB, is 0·3. Also, P(A∪B)P(A \cup B)P(A∪B), the probability of event A∪BA \cup BA∪B, is 0·75. Which of the following statements is true?

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A and B are events. A^C is the complement of A. B^C is the complement of B. P(A), the probability of event A, is 0·60. P(B), the probability of event B, is 0·3. Also, P(A ∪ B), the probability of event A ∪ B, is 0·75. Which of the following statements is true? (A) P(A ∩ B) = 0·25 (B) P(A^C ∩ B^C) = 0·25 (C) P(A^C ∪ B^C) = 0·25 (D) None of the above

Also written as: A and B are events. A^C is the complement of A. B^C is the complement of B. P(A), the probability of event A, is 0·60. P(B), the probability of event B, is 0·3. Also, P(A union B), the probability of event A union B, is 0·75. Which of the following statements is true?

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

What this question tests

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