Three coins are tossed. Describe (i) Two events which are mutually exclusive (ii) Three events which are mutually exclusive and exhaustive (iii) Two events which are not mutually exclusive (iv) Two events which are mutually exclusive but not exhaustive

Explanation

When three coins are tossed the sample space is given by
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}


(i) Two events that are mutually exclusive can be
A: getting no heads and B: getting no tails

This is because sets A={TTT} and B={HHH} are disjoint



(ii) Three events that are mutually exclusive and exhaustive can be

...