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It is Given that M 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? - Mathematics

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Question

It is given that m 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?

Solution

Let E ⟶ event of 2 students having same birthday P(E) is given as 0.992

Let (`barE` ) ⟶ event of 2 students not having same birthday.

We know that, P(E) + P(`barE` ) = 1

P(`barE`) = 1 − 𝑃(𝐸)

= 1 – 0.992

= 0.008

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Chapter 16: Probability - Exercise 16.1 [Page 23]

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RD Sharma Mathematics [English] Class 10
Chapter 16 Probability
Exercise 16.1 | Q 32 | Page 23

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