Mutually exclusive events are always independent. Is this true or false? Why?
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Originally Posted by wikji Mutually exclusive events are always independent. Is this true or false? Why? If A and B are mutually exclusive events, then $\displaystyle \Pr(A \cap B) = 0$. If A and B are independent events, then $\displaystyle \Pr(A \cap B) = \Pr(A) \cdot \Pr(B)$. So what do you think and why? Hint: The statement is false.
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