• Event : A subset of the sample space
  • Impossible event : The empty set
  • Sure event : The whole sample space
  • Complementary event or 'not event' : The set A' or S – A
  • Event A or B : The set A ∪ B
  • Event A and B : The set A ∩ B
  • Event A and not B : The set A − B
  • Mutually exclusive event: A and B are mutually exclusive if A ∩ B = Φ
  • Exhaustive and mutually exclusive events : Events E1, E2, .... , En are mutually exclusive and exhaustive if E1 ∪ E2 ∪ .... ∪ En = S and Ei ∩ Ej = Φ ∀ i ≠ j
  • Independent events are always taken from different experiments, while mutually exclusive events are taken from a single experiment.
  • Independent events can happen together while mutually exclusive events cannot happen together.
  • Independent events are connected by the word "and" but mutually exclusive events are connected by the word "or".
  • Number of exhaustive cases of tossing n coins simultaneously (or of tossing a coin n times) = 2n.
  • Number of exhaustive cases of throwing n dice simultaneously (or throwing one dice n times) = 6n.

View the Topic in this video From 34:16 To 55:35

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