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.

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Solution

It is given that one bag contains a dice of red colour, a dice of white colour and a dice of blue colour.

The possible outcomes when one dice is selected at random and rolled are, S={ xy:x=R,W,B;y=1,2,3,4,5,6 } .

Thus, the sample space when one die is selected at random and rolled is,

S={ R1,R2,R3,R4,R5,R6,W1,W2,W3,W4,W5,W6,B1,B2,B3,B4,B5,B6 } .

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