Q. 24.0( 28 Votes )

# In each of the following, describe the sample space for the indicated experiment.

A die is thrown two times.

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 =(6×6)=36

We define the possible outcomes by an ordered set (x, y)

where

x denotes the outcome of the first time the die is thrown

y denotes the outcome of the second time the die is thrown

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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