Question
Three coins are tossed. Describe two events which are not mutually exclusive.
Solution
Three coins are tossed.
The sample space is: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
Event E = at least two heads show
E = {HHH, HHT, HTH, THH}
Event F = exactly two heads show
= {HHT, HTH, THH}
Now,
= {HHT, HTH, THH}
Hence, E and F are not mutually exclusive.