Question

A die is thrown repeatedly until a sixcomes up. What is the sample space for this experiment.

Answer 1

In this experiment, a die is rolled. if the outcome is 6 then experiment is over.
Otherwise, die will be rolled again and again.

So, the sample space is

S= {6, (1,6), (2,6),(3,6),(4,6),(5,6),
(1, 1, 6), (1, 2, 6), (1, 3, 6), (1, 4, 6), (1, 5, 6),
(2, 1, 6),(2, 2, 6), ..... }