A coin is tossed. If it shows a tail, we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows head, we throw a die. Find the sample space for this experiment.
A coin is tossed. If it shows a tail, we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows head, we throw a die. Find the sample space for this experiment.
The box contains $2$ red balls and $3$ black balls. Let us denote the $2$ red balls as $R_{1}, R_{2}$ and the $3$ black balls as $B _{1}, \,B _{2},$ and $B _{3}$
The sample space of this experiment is given by
$S =\{ TR _{1}, \,TR _{2},\, TB _{1}$, $TB _{2},\, TB _{3}$, $H1 , \,H 2,\, H 3$, $H 4,\, H 5,\, H 6\}$
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