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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Probability

NDA 2013 · Mathematics · Probability

Three dice are thrown. What is the probability of getting a triplet?

Three dice are thrown. What is the probability of getting a triplet?

Options

  1. A16\frac{1}{6}
  2. B118\frac{1}{18}
  3. C136\frac{1}{36}
  4. D172\frac{1}{72}

Correct answer

C. 136\frac{1}{36}

Step-by-step solution

 Sample event =(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)\begin{aligned} \text{ Sample event }=(1,1,1), & (2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)\end{aligned}n(\mathrm{E})=6SamplespaceSample space=6 \times 6 \times 6, n(s)=216p(\varepsilon)=\frac{n(\mathrm{E})}{n(s)}=\frac{6}{216}=\frac{1}{36}$
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