# Solve this: 5.Write the sample space for the following experiments. a  A die is rolled once.     ​ b  A die is rolled twice.

Dear Student,
The sample space is a set of all outcomes when a given experiment is conducted.
(a) When one die is tossed, the sample space $S=\left\{1,2,3,4,5,6\right\}$ (Since these are the six possible outcomes)
(b)When a die is tossed twice,the sample space :
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)}   (In each element of the set, the first no. is the digit that appeared in the first throw of dice and second no. is the digit that appeared in second throw of dice. Hence,total possibilities are 36)
Best Regards

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