
### Instruction: help me answer this question A die is thrown two times. Describe the sample space for this experiment., think step by step
### Assistant: When a die is thrown, there are 6 possible outcomes. Since the die is thrown twice, the total number of possible outcomes is 6*6 = 36. These outcomes form the sample space S. , The answer is The sample space S contains 36 elements and is given by: S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3)(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
