If events are mutually exclusive are they independent?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

2
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.

Was this helpful? Let the contributor know!
1500