A coin  is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.

Explanation

Given: A coin is tossed repeatedly until comes up for the first time.

In the given Experiment, a coin is tossed and if the outcome is tail the experiment is over.

And, if the outcome is Head then the coin is tossed again.

In the second toss also if the outcome is tail then experiment is over, otherwise coin is tossed again.

This process continues indefinitely

So, the sample space for this experiment is S = {T, HT, HHT, HHHT, HHHHT…}