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Sir, If we'll be asked to write the sample space for a specific times of dice thrown by us like..write the sample space when 3 dies are thrown,irrespective of that "2" or any other number should we write the same thing that's the sample space that says (6) ^{2} =36?

Ref.

Question 2: Describe the sample space for the indicated experiment: A die is thrown two times.

Answer 2:

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= {(x,y): x,y=1,2,3,4,5,6}

The number of elements in this sample space is 6x6=36, while the sample space is given by:

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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