Question: Three events A, B, and C are said to be independent if P(A & B) = P(A) P(B), P(A & C) = P(A)

Three events A, B, and C are said to be independent if

P(A & B) = P(A) · P(B),

P(A & C) = P(A) · P(C),

P(B & C) = P(B) · P(C), and

P(A & B & C) = P(A) · P(B) · P(C).

What is required for four events to be independent? Explain your definition in words.

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