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

Answer

Let 1,2,3,4,5,6 denote the event the respective numbers comes when the die is thrown
The total number of sample space = (6 x 6) = 36
We define the possible outcomes by an ordered set (x, y)
where,
x denotes the digit occurring on the first die
y denotes the digit occurring on the second die
The sample spaces
S = {(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)}

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