In the following describe the sample space when a coin is tossed and a die is thrown.

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In the following describe the sample space when a coin is tossed and a die is thrown.

The possible outcomes when a coin is tossed once is either a Head $\left( H \right)$ or a Tail $\left( T \right)$ .

The possible outcomes when a die is thrown are $1,2,3,4,5$ and $6$ .

Thus, when a coin is tossed and a die is thrown the sample space $= 2 \times 6$

$= 12$

Therefore, the sample space when a coin is tossed and a die is thrown is,

$\begin{array}{*{20}{l}} {S = \{ \left( {H,1} \right),\left( {H,2} \right),\left( {H,3} \right),\left( {H,4} \right),\left( {H,5} \right),\left( {H,6} \right),} \\ {\;\;\;\;\;\;\;\;\left( {T,1} \right),\left( {T,2} \right),\left( {T,3} \right),\left( {T,4} \right),\left( {T,5} \right),\left( {T,6} \right)\} } \end{array}$ .