Let be independent events with probabilities respectively. The probability that none of these events occurs equals
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DSE 2011 Question 9: Probability and Bayes' theorem
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Let A₁,A₂,A₃ be independent events with probabilities p₁,p₂,p₃ respectively. The probability that none of these events occurs equals (A) 1-(p₁+p₂+p₃) (B) 1-(p₁+p₂+p₃)+p₁p₂+p₁p₃+p₂p₃ (C) (1-p₁)(1-p₂)(1-p₃) (D) (1-p₂)(1+p₁p₃)
Also written as: Let A_1,A_2,A_3 be independent events with probabilities p_1,p_2,p_3 respectively. The probability that none of these events occurs equals
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
This question is on Independence, part of Probability and Bayes' theorem in Statistics.
When one event tells you nothing about another, and how it differs from being mutually exclusive.
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