# it is given that in a group of 3 students the probability of 2 students not having the same birthday

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## It Is Given That In A Group Of 3 Students,

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

Answer :

Let E be the event of having the same birthday

i.e, P(E) = 0.992 But P(E) + P(E―) = 1 ⇒P(E―) = 1 − P(E) ⇒1 − 0.992 = 0.008 ∴

The probability that the 2 students have the same birthday is 0.008.

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## 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?

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Question

## 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?

LetMedium Open in App Solution Verified by Toppr B

≡ Event that 2 students do not have same birthday

∴P( B )=0.992

So, probability of 2 students having same birthday P(B)=1−P(

B ) =1−0.992 =0.008 Video Explanation

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## Ex 15.1, 7

Ex15.1, 7 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 that two students are not having same birthday = 0.992 Probability that two students are n

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## Ex 15.1, 7 - Chapter 15 Class 10 Probability (Term 1)

Last updated at May 29, 2018 by Teachoo

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### Transcript

Ex15.1, 7 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 that two students are not having same birthday = 0.992 Probability that two students are not having same birthday = 1 Probability that two students are having same birthday P(not same birthday) = 1 P(same birthday) 0.992 = 1 P(same birthday) P(same birthday) = 1 0.992 P(same birthday) = 0.008 So, probability that 2 students will have the same birthday is 0.008

**Next**: Ex 15.1, 8 →

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### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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