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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Probability

NDA 2019 · Mathematics · Probability

If a coin is tossed till the first head appears, then what will be...

If a coin is tossed till the first head appears, then what will be the sample space?

Options

  1. A{H}\{\mathrm{H}\}
  2. B{TH}\{\mathrm{TH}\}
  3. C{T,HT,HHT,HHHT,………..}\{\mathrm{T}, \mathrm{HT}, \mathrm{HHT}, \mathrm{HHHT}, \ldots \ldots \ldots..\}
  4. D{H,TH,TTH,TTTH,…………}\{\mathrm{H}, \mathrm{TH}, \mathrm{TTH}, \mathrm{TTTH}, \ldots \ldots \ldots \ldots\}

Correct answer

D. {H,TH,TTH,TTTH,…………}\{\mathrm{H}, \mathrm{TH}, \mathrm{TTH}, \mathrm{TTTH}, \ldots \ldots \ldots \ldots\}

Step-by-step solution

It can be observed that sample space will be {H,TH,TTH,TTTH,…\{\mathrm{H}, \mathrm{TH}, \mathrm{TTH}, \mathrm{TTTH}, \ldots.
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