A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.
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A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.
A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.
Given: A coin is tossed repeatedly until comes up from the first time.
To Find: Write the sample space for the given experiment.
Explanation: 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…}
Hence, S is the sample space for the given experiment.