Question

A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

Answer 1

The box contains one red ball and three black balls.
Let us denote the red ball as R and the three black balls as B₁, B₂ and B₃.
The sample space of this experiment is given by
S = {(R, B₁), (R, B₂), (R, B₃), (B₁, R), (B₁, B₂), (B₁, B₃), (B₂, B₁), (B₂, B₃), (B₂, R), (B₃, R), (B₃, B₁), (B₃, B₂)}