
### Instruction: help me answer this question A coin is tossed, and then a die is rolled only in case a head is shown on the coin. Describe the sample space., think step by step
### Assistant:  , The answer is When the head is encountered, the number of possible outcomes equals (1 × 6) = 6. So, the sample space when a head is encountered, SH, is {H1, H2, H3, H4, H5, H6}. If the tail is encountered, the sample space ST = {T}. Hence, the total sample space S = {H1, H2, H3, H4, H5, H6, T}.
