Practice question · True or false
Two mutually exclusive events with non-zero probability cannot be independent.
Hints
- If one happens, what is the chance of the other?
- Exclusivity forces the conditional to zero.
Show the answer
True
Why
True. If A occurs, B cannot, so , the opposite of independence. The two terms sound similar and are nearly contradictory: exclusivity is a very strong dependence. Only a probability-zero event can be both.
Practise Conditional Probability and Independence
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