If events $A$ and $B$ are independent, then identify the correct statements
(A) $A$ and $B$ must be mutually exclusive
(B) The sum of their probabilities must be equal to $1$
(C) $P(A)\cdot P(B) = P(A\cap B)$
(D) $A'$ and $B'$ are also independent
Choose the correct answer from the options given below:
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