State True or False for the statements: Two independent events ar… - Vidyadip

Question

State True or False for the statements:
Two independent events are always mutually exclusive.

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Answer

False.
Explanation:
No, mutually exclusive events (with non-zero probability) are always dependent. The definition of independence for events A and B is that P(A and B) ... However, in the case that A and B are mutually exclusive, then P(A and B) = 0.

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