Question

A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment. Select the correct answer from above options

Answer 1

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…} ∴ The sample space for the given experiment is {T, HT, HHT, HHHT, HHHHT…}