Consider the experiment in which a coin is tossed repeatedly until a head comes up. Then the sample space is:
A
S={H,TH,TTH,HTTH,TTTTH,⋯}
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B
S={H,TH,THH,TTTH,THHTH,⋯}
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C
S={H,TH,TTH,TTTH,TTTTH,⋯}
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D
S={T,TH,TTH,TTTH,TTTTH,⋯}
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Solution
The correct option is CS={H,TH,TTH,TTTH,TTTTH,⋯} In the experiment head may come up on first toss, or the 2nd toss, or the 3rd toss and so on till head is obtained. Hence, the desired sample space is S={H,TH,TTH,TTTH,TTTTH,⋯}