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NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Probability

NDA 2020 · Mathematics · Probability

In a lottery of 10 tickets numbered 1 to 10 , two tickets are drawn...

In a lottery of 10 tickets numbered 1 to 10 , two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers?

Options

  1. A115\frac{1}{15}
  2. B12\frac{1}{2}
  3. C215\frac{2}{15}
  4. D15\frac{1}{5}

Correct answer

C. 215\frac{2}{15}

Step-by-step solution

Prime number between 1 to 10 are 2, 3, 5, 7. Now, number of ways of selecting 2 prime number out of 4 primenumber =4C2=6={ }^4 C_2=6. Number of ways of selecting 2 numbers out of 10 numbers =10C2=45={ }^{10} C_2=45. ∴\therefore Required probability =645=215=\frac{6}{45}=\frac{2}{15}.
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