
### Instruction: help me answer this question What is the sample space for the experiment where a die is thrown repeatedly until a six comes up?, think step by step
### Assistant:  , The answer is The sample space, denoted as S, is infinitely defined and includes all the possible combinations of throws that result in a six, such as {(6), (1,6), (2,6), (3,6), (4,6), (5,6), (1,1,6), (1,2,6)...}.
