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Mathematics

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Probability

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Answer

Let A be the event that 2 students have same birthday and A' be the event that 2 students does not have same birthday.

So, A and A' are complementary events.

∴ P(A) + P(A') = 1

⇒ P(A) + 0.992 = 1

⇒ P(A) = 1 - 0.992 = 0.008

Hence, the probability that the 2 students have the same birthday = 0.008

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