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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Probability

NDA 2019 · Mathematics · Probability

Two dice are thrown simultaneously. What is the probability that...

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?

Options

  1. A512\frac{5}{12}
  2. B12\frac{1}{2}
  3. C712\frac{7}{12}
  4. D23\frac{2}{3}

Correct answer

A. 512\frac{5}{12}

Step-by-step solution

Sum as prime number on 2 dices are: 2,3,5,7,112,3,5,7,11 no. of times each prime no. as sum occurs = No. and Times2 and 13 and 25 and 47 and 611 and 2\cline2−2 and 15\begin{array}{lc} No. \text{ and } Times \\2 \text{ and } 1 \\3 \text{ and } 2 \\5 \text{ and } 4 \\7 \text{ and } 6 \\11 \text{ and } 2 \cline { 2 - 2 } \text{ and } 15\end{array}\therefore \quad P(E)=\frac{15}{36}=\frac{5}{12}$
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