Propose a sample space for the following experiment: A die is thrown repeatedly until a 6 is observed.Propose a sample space for the following experiment: A die is thrown repeatedly until a 6 is observed.
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A sample space is supposed to include all possible outcomes.

Using curly brackets to enclose this space and round brackets to show the results of throwing the die unlimited times until 6 is thrown we have:

{ (6), (1,6), (2,6), (3,6), (4,6), (5,6) 

(1,1,6), (1,2,6), (1,3,6), ...

(2,1,6), (2,2,6), (2,3,6), ...

...

(5,1,6), (5,2,6), (5,3,6), ...

(1,1,1,6), (1,1,2,6), (1,1,3,6), ...

...

(5,5,1,6), ..., (5,5,5,6),

...}

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