Question

There are three coloured dice of red, white and black colour. These dice are placed in a bag. One die is drawn at random from the bag and rolled its colour and the number on its uppermost face is noted. Describe the sample space for this experiment.

 

Answer 1

A dice has six faces that are numbered from 1 to 6, with one number on each face.
Let us denote the red, white and black dices as R, W, and B, respectively.
Accordingly, when a dice is selected and then rolled, the sample space is given by
S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6),
         (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6),
         (W, 1), (W, 2), (W, 3), (W, 4), (W, 5), (W, 6)}