#### Question

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

#### Solution

Three events that are mutually exclusive but not exhaustive can be

A: getting exactly three heads

B: getting one head and two tails

C: getting one tail and two heads

i.e.,

A = {HHH}

B = {HTT, THT, TTH}

C = {HHT, HTH, THH}

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

Is there an error in this question or solution?

Solution Three Coins Are Tossed. Describe Three Events Which Are Mutually Exclusive but Not Exhaustive. Concept: Event - Mutually Exclusive Events.