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16. A die is thrown repeatedly untill a six comes up. What is the sample space for this experiment?
Answers (1)
Given, a die is thrown repeatedly untill a six comes up.
Possible outcomes when a die is thrown = {1,2,3,4,5,6}
In the experiment 6 may come up on the first throw, or the 2nd throw, or the 3rd throw and so on till 6 is obtained.
The required sample space is:
S = {6, (1,6), (2,6), (3,6), (4,6), (5,6), (1,1,6), (1,2,6), ..., (1,5,6), (2,1,6). (2,2,6), ..., (2,5,6), ..., (5,1,6), (5,2,6), ... }
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