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Q147 (IAS/2004) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

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:

Result
Your answer: —  Â·  Correct: C
Explanation

For three randomly chosen students, fix the first student's birthday (probability 1). The second student must have the same date and month as the first: probability 1/365. The third student must also match that same date and month: probability 1/365. Treating these as independent events, multiply the probabilities: 1 × (1/365) × (1/365) = 1/(365)^2. This yields option 3. The total school size (1000) does not change the calculation under the usual assumption that individual birthdays are independent and uniformly distributed across 365 days [1].

Sources

  1. [1] https://www.geeksforgeeks.org/dsa/birthday-paradox/
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