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For the complement of event \(A\), which probability relation is correct?

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Question

For the complement of event \(A\), which probability relation is correct?

Options

  • \(P(A') = P(A) - 1\)

  • \(P(A') = 1 - P(A)\)

  • \(P(A') = 1 + P(A)\)

  • \(P(A') = P(A)\)

MCQ
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Solution

The complement and the event partition the entire sample space. Their probabilities therefore add to 1, giving \(P(A') = 1 - P(A)\).

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