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

3/1000
3/365
1/(365)2
None of these

Correct Answer: 1/(365)2

Explanation:

Since, the 1st students can have any day as his birthday and according to the question corresponding to the 1st person and 2nd the 3rd person need to have the same day as their birthday and thus probability that they have identical birthday
= 1x (1/365) x (1/365)
= 1/(365)²

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