Question

A coin is tossed. If it shows tail, we draw a ball from a box which contains 2 red 3 black balls; if it shows head, we throw a die. Find the sample space of this experiment.

Answer 1

The box contains two red balls and three black balls.
Let us denote the red balls as R₁ and R₂ and the three black balls as B₁, B₂ and B₃.
The sample space of this experiment is given by
S = {(T, R₁), (T, R₂), (T, B₁), (T, B₂), (T, B₃),  (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}