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Probability · Question 59 of 70

Question 59

EasyOriginal question

Read the two statements and choose the correct option.

I. P(A∪B)=P(A)+P(B)P(A \cup B) = P(A) + P(B) for any two events AA and BB.

II. P(A′)=1−P(A)P(A') = 1 - P(A) for any event AA.

Options for question 59

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. I is false: in general P(A∩B)P(A \cap B) must be subtracted; the plain sum holds only for mutually exclusive events.

  2. II is true: AA and A′A' are mutually exclusive and exhaustive, so P(A)+P(A′)=1P(A) + P(A') = 1.

Concept
The addition and complement rules
Typical time
60 s
Your time
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The rule this testsThe addition and complement rules
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Ten questions from Probability, at your own pace.

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Ten questions from Probability, at your own pace.