If events are mutually exclusive are they independent?

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soq Share
Feb 9, 2018

For mutually exclusive events, # P(A \cap B) = 0#

For independence, # P(A \cap B) = P(A) * P(B) #

If two mutually exclusive events are independent then #P(A \cap B) = 0 = P(A) * P(B) #

#=> P(A) = 0 # or #P(B) = 0#

So, either of those events is impossible. Two positive mutually exclusive events cannot be independent.

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