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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

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A die has six faces that are numbered from $1$ to $6$ with one number on each face.
Let us denote the red, white, and blue dices as $R, W$ and $B$ respectively.
Accordingly when a die is selected and then rolled the sample space is given by,
$S = R_{1}, R_{2}, R_{3}, R_{4}, R_{5}, R_{6}, W_{1}, W_{2}, W_{3}, W_{4}, W_{5}, W_{6}, B_{1}, B_{2}, B_{3}, B_{4}, B_{5}, B_{6}$

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