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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.


Solution

Since we have 3 coloured dice 
1 - red dice 
1 - white dice and 
1 - black dice 

Now, one of the dice is drawn and tolled and the number of the face is noted. So, in case red dice is drawn then the sample will be 

S1 = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6)} 

Similar argument for black dice 

S2 = (B, 1 ), (B, 2), (B, 3), (B, 4), (B, 5) (B, 6)}

and for while dice 

S3 = {(W, 1), (W, 2), (W, 3), (W, 4), (W, 5), (W, 6)} 

Thus, the Sample space associated uitli this experiment is 

S=S1S2S3

={(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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