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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. The number of elements in the sample space is

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Solution

1,2,3,4,5 and 6 are the possible outcomes when the die is thrown.
Lets assume die of red colour be R, die of white colour be W, die of blue colour be B.
So, the total number of elements in the sample space =6×3=18
The sample space of the event is
S={(R,1),(R,2),(R,3),(R,4),(R,5),(R,6),(W,1),(W,2)(W,3),(W,4),(W,5),(W,6),(B,1),(B,2),(B,3),(B,4),(B,5),(B,6)}

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