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Two events 'A' and 'B' are said to be independent if -

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Question

Two events 'A' and 'B' are said to be independent if

Options

  • A and B are mutually exclusive

  • P(A' B') = [1 – P(A)][1 – P(A)][1 – P(B)]

  • P(A) = P(B)

  • P(A) + P(B) = 1

MCQ

Solution

P(A' B') = [1 – P(A)][1 – P(A)][1 – P(B)]

Explanation:

Two events are. independent

If P(A ∩ B) = P(A) × P(B)

or P(A1 ∩ B) = P(A1) P(B1) = [1 – P(A)] [1 – P(B)]

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