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 a head, we throw a die. Find the sample space for this experiment.

Answer 1

Let the red balls be named as $R_1$ and $R_2$, and the black balls be named as $B_1,B_2$ and $B_3$

Then, the sample space is given by

$S=\{T{R}_1,T{R}_2,T{B}_1,T{B}_2,T{B}_3,H1,H2,H3,H4,H5,H6\}$