Describe the sample space for the indicated experiment: A coin is tossed four times.
When a coin is tossed once, there are two possible outcomes: head $(H)$ and tail $(T)$.
When a coin is tossed four times, the total number of possible outcomes is $2^{4}=16$
Thus, when a coin is tossed four times, the sample space is given by :
$S =\{ HHHH , \,HHHT , \,HHTH $, $HHTT , \,HTHH , \,HTHT $, $ HTTH , \,HTTT ,$ $THHH,\, THHT, \,THTH, $ $T H T T ,\, T T H H , \,T T H T ,\, T T T H , \,T T T T \}$
Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.
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