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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. A1 15
  2. B1 2
  3. C2 15
  4. D1 5

Correct answer

C. 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 = ^4 C₂=6 . Number of ways of selecting 2 numbers out of 10 numbers = ¹⁰ C₂=45 . Required probability = 6 45 = 2 15 .

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