Question

Three coins are tossed. Describe. two events A and B which are not mutually exclusive.

Answer 1

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

 The two events that are not mutually exclusive a
       A: getting three heads
       B: getting at least 2 heads
      i.e. A = {HHH} and B = {HHH, HHT, HTH, THH}
      This is because A ∩ B = {HHH} ≠ Φ