If A1, A2,, An are independent events, prove that P(A1 A2,, An) = 1-{1- P(A1) }

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If A1, A2,…, An are independent events, prove that
P(A1 ∪ A2,···, An) = 1-{1- P(A1) } · {1- P(A2) } … {1- P(A ∩) }
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