, and are independent events. The probability of event is ; . The probability of the event is equal to
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1 mark, −0.25StatisticsProbability and Bayes' theoremAddition rule, complements and inclusion-exclusionEasyabout 1 min
JNU SSS 2012 Question 27: Probability and Bayes' theorem
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A₁, A₂ and A₃ are independent events. The probability of event Aᵢ is pᵢ; i = 1, 2, 3. The probability of the event ⋃ᵢ₌₁³ Aᵢ is equal to (A) p₁ + p₂ + p₃ (B) 1 - (1 - p₁) × (1 - p₂) × (1 - p₃) (C) p₁ × p₂ × p₃ (D) None of the above
Also written as: A_1, A_2 and A_3 are independent events. The probability of event A_i is p_i; i = 1, 2, 3. The probability of the event union_(i=1)^3 A_i is equal to
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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