Question

Mutually exclusive events also independent.

True or False?

Answer 1

Answer : False

Mutually exclusive events cannot be independent.

If an event is mutually exclusive, occurence of one event excludes the other. That means two events cannot occur at the same time.

Eg : Tossing a coin means you can get either head or tail but can't get both at the same time.

But in the case of independent events, occurence of one event does not affect the occurrence of other.

Eg : Tossing two coins means you can get either of the two possibilities in both coins.

And hence mutually exclusive events cannot be independent. They are dependent as one event affects the other.