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

Given, three students are picket at random out of 1000.

Consider that the birthday of 1 student falls on say 1 January.

So, the probability of the birthday of 2nd student lying on 1st jan = 

Similarly, the probability of the birthday of 3rd student lying on 1st jan = .

Hence, the probability of 3 students will having identical date and month of their birth = .

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