Question

Three coins are tossed. Describe. three events A, B and C which are mutually exclusive and exhaustive.

Answer 1

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

 The three events that are mutually exclusive and exhaustive are as follows:
      A: getting no heads
      B: getting exactly one head
      C: getting at least two heads
      i.e. A = {TTT}, B = {HTT, THT, TTH} and C = {HHH, HHT,              HTH, THH}
   This is because A ∩ B = B ∩ C = C ∩ A = Φ and A ∪ B ∪ C = S