Question

Three coins are tossed. Describe.

(iv) two events A and B which are mutually exclusive but not exhaustive.

 

Answer 1

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

(iv) The two events which are mutually exclusive but not exhaustive are as follows:
       A: getting exactly one head
       B: getting exactly one tail
       i.e. A = {HTT, THT, TTH} and B = {HHT, HTH, THH}
       It is because, A ∩ B = Φ, but A ∪ B ≠ S