Question
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?

Answer

In the given experiment,on throwing a die, six may come up on the first throw, the second throw,
the third throw, the fourth throw and so on till six comes up.
Hence, the sample space (S) of this experiment is given by,
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), (2, 3, 6), (2, 4, 6), (2, 5, 6), (3, 1, 6), (3, 2, 6), (3, 3, 6), (3, 4, 6), (3, 5, 6), (4, 1, 6), ... (4, 5, 6), (5, 1, 6), ... (5, 5, 6), ... }.

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