Question
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.
Solution
The three dice are R, W and B. One die is selected at random. Its sample space is:
The number on its uppermost face is noted, the sample space for which is
Hence, the combined sample space is
S = {R1, R2, R3, R4, R5, R6, W1, W2, W3, W4, W5, W6, B1, B2, B3, B4, B5, B6}