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

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The die is thrown repeatedly until a six comes up. It means Since, 6 may come upon the first throw , second throw , third throw and so on until is obtained.
So, This process will continues indefinitely, then the sample space will be:
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)……..}
Hence, S is the sample space for given experiment.
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