A coin is tossed and then a die is rolled only in case a head is shown on the coin. Describe the sample space for this experiment.
When coin is tossed, either we get head or tail.
Lets head be denoted by $$H$$ and tail denoted by $$T$$.
According to a question when head is shown then a die is rolled.
Hence,
Total number of sample space $$S$$ associated with the experiment
$$S=\left\{ H_1, H_2, H_3, H_4, H_5, H_6, T\right\}$$.