Q. 244.3( 3 Votes )

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

Answer :

Given: A die is thrown repeatedly until a six comes up.


To Find: Sample space for the given experiment


Explanation: Here, 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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