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Three coins are tossed,describe two events which are mutually exclusive but not exhaustive.

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Three coins are tossed.
$\therefore$ The sample space =$2^3=8$ possible outcome
$S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$
Let A be the event "Exactly one head"
$A=\{HTT,THT,TTH\}$
Let B be the event "Exactly two heads"
$B=\{HHT,HTH,THH\}$
$\therefore A \cap B \neq \phi$ and $A\cup B\neq S$
$\therefore$ A and B are mutually exclusive but not exhaustive.
answered Jun 27, 2014 by sreemathi.v
 

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