Three coins are tossed. Describe two events which are mutually exclusive.
(N/A) When three coins are tossed,the sample space $S$ is given by:
$S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$
Two events $A$ and $B$ are mutually exclusive if they have no common outcomes,i.e.,$A \cap B = \emptyset$.
Let $A$ be the event of getting no heads: $A = \{TTT\}$.
Let $B$ be the event of getting no tails: $B = \{HHH\}$.
Since $A \cap B = \emptyset$,these two events are mutually exclusive.
$S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$
Two events $A$ and $B$ are mutually exclusive if they have no common outcomes,i.e.,$A \cap B = \emptyset$.
Let $A$ be the event of getting no heads: $A = \{TTT\}$.
Let $B$ be the event of getting no tails: $B = \{HHH\}$.
Since $A \cap B = \emptyset$,these two events are mutually exclusive.
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