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Assume that || A, B and C are mutually independent events according to Definition 2.22. Verify the identities below, using the definition of independence,

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Assume that || A, B and C are mutually independent events according to Definition 2.22. Verify the identities below, using the definition of independence, set operations and rules of probability. (a) P(AB) = P(A)P(B) (b) P(ACCC) = P(APC) (c) P(ABC) = P(A)P(B)P(C) (d) P(A BC) = P(ABC)

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