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In the following describe the sample space when 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.
In the following describe the sample space when 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.
CBSE | Class 11 | Exercise 16.1 | Maths | NCERT | Probability
In the following describe the sample space when 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 possible outcomes when a die is thrown are $1,2,3,4,5$ and $6$.

Suppose that the die of red colour be $R$, die of white colour be $W$, and die of blue colour be $B$.

Then, the total number of sample space $ = {\text{ }}\left( {6{\text{ }} \times {\text{ }}3} \right)$

$ = {\text{ }}18$.

Therefore, the sample space of the event is

$\begin{array}{*{20}{l}}

{S = \{ \left( {R,1} \right),\left( {R,2} \right),\left( {R,3} \right),\left( {R,4} \right),\left( {R,5} \right),\left( {R,6} \right),} \\

{\;\;\;\;\;\;\left( {W,1} \right),\left( {W,2} \right),\left( {W,3} \right),\left( {W,4} \right),\left( {W,5} \right),\left( {W,6} \right),} \\

{\;\;\;\;\;\;\left( {B,1} \right),\left( {B,2} \right),\left( {B,3} \right),\left( {B,4} \right),\left( {B,5} \right),\left( {B,6} \right)\} }

\end{array}$

i

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