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# 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?

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.

## NCERT solutions of related questions for Probability

Complete the statements: (i) Probability of event E + Probability of event ‘not E’ = _______ (ii) The probability of an event that cannot happen is _______. Such an event is called _______ (iii) The probability of an event that is certain to happen is _______ . Such an event is called _______ (iv) The sum of the probabilities of all the elementary events of an experiment is _______ (v) The probability of an event is greater than or equal to _______ and less than or equal to _______

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Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

Which of the following cannot be the probability of an event? (A)

23 (B) −1.5 (C) 15 (D) 0.7

IF P(F) = 0.05, what is the probability of 'not E' ?

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out (i) an orange flavoured candy? (ii) a lemon flavoured candy?

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Refer to Example 13. (i) Complete the following table: Event: Sum on 2 dice 2 3 4 5 6 7 8 9 10 11 12 Probability

136 536 136

(ii) A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability

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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?

Click here👆to get an answer to your 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? 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?

Let

Medium 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 226 8

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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 Check sibling questions

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

Last updated at May 29, 2018 by Teachoo  This video is only available for Teachoo black users

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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 → 