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

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)}.

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