UPSC Prelims 2004·GS1·science-and-technology·science and technology

Three students are picked at random from a school having a total of 1000 students. The probability that these three students will have identical data and month of their birth is:

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Last updated 23 May 2026, 3:31 pm IST
  1. A3/1000
  2. B3/365
  3. C1/(365)2Correct
  4. D1/(365)2

Explanation

Assuming a standard year of 365 days: The first student can be born on any day. Probability = 365/365 = 1. The second student must share the same birthday. Probability = 1/365. The third student must also share the same birthday. Probability = 1/365. Total probability = 1 x (1/365) x (1/365) = 1/(365)².
science-and-technology: Three students are picked at random from a school having a total of 1000 students. The probability that these three stud

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