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

Let us denote the 2 red balls as ${R_1}$ and ${R_2}$ , 3 black balls as ${B_1},{B_2}$ and ${B_3}$ .
$S = T{R_1},T{R_2},T{B_1},T{B_2},T{B_3},{H_1},{H_2},{H_3},{H_4},{H_5},{H_6}$.