Question

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

Answer 1

The box contains2 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,
$S=T{R}_1,T{R}_2,T{B}_1,T{B}_2,T{B}_3,H_1,H_2,H_3,H_4,H_5,H_6$
Here, $\text{H=Head, and T = Tail}$