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Conditional Probability & Bayes' Theorem · Question 66 of 125

Question 66

MediumOriginal question

AA and BB are independent with P(A)=0.4P(A) = 0.4 and P(B)=0.7P(B) = 0.7. What is P(A′∪B′)P(A' \cup B')?

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. A′∪B′A' \cup B' is the complement of A∩BA \cap B: the two do not both happen.

  2. 1−0.4×0.7=1−0.28=0.721 - 0.4 \times 0.7 = 1 - 0.28 = 0.72.

Worth noting

0.18 is P(A′∩B′)=0.6×0.3P(A' \cap B') = 0.6 \times 0.3, neither happening; A′∪B′A' \cup B' means at most one happens.

Concept
Complements of independent events
Typical time
90 s
Your time
—
The rule this testsIndependent events
Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.