Three student's are picked at random from a school having a total of 1000 students. The prpbability that these three students will have identical date and month of their birth is
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Given : 3 students are picked at random out of 1000 students.
Let us assume that the birthday of 1 student falls on 1st January.
So, the probability of the birthday of the 2nd student lying on 1st January will be = 1/365
Similarly, the probability of the birthday of the 3rd student lying on 1st January will be = (1/365)/365
= 1/(365)²
So, the probability of 3 students will having identical date and month of their birth is 1/(365)²
Answer.
Given : 3 students are picked at random out of 1000 students.
Let us assume that the birthday of 1 student falls on 1st January.
So, the probability of the birthday of the 2nd student lying on 1st January will be = 1/365
Similarly, the probability of the birthday of the 3rd student lying on 1st January will be = (1/365)/365
= 1/(365)²
So, the probability of 3 students will having identical date and month of their birth is 1/(365)²
Answer.
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