Question

Describe the sample space for the indicated experiment : A die is thrown two times

Answer 1

When a die is thrown the possible outcomes are $1,2,3,4,5$ or $6$
When a die is thrown two times the sample space is given by $S=\left\{\right(x,y):x,y=1,2,3,4,5,6\}$
The number of elements in this sample space is $6\times 6=36$ while the sample space is given by :
$S=\left\{\right(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6\left)\right\}$