Question

Three coins are tossed. Describe two events which are mutually exclusive but not exhaustive.

Answer 1

Two events which are mutually exclusive but not exhaustive can be

A: getting exactly one head

B: getting exactly one tail

That is

A = {HTT, THT, TTH}

B = {HHT, HTH, THH}

It is because, A ∩ B = Φ, but A ∪ B ≠ S