MathematicsIt is given 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 students have the same birthday?

It is given 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 students have the same birthday?


  1. A
    0.008
  2. B
    0.007
  3. C
    0.006
  4. D
    0.003 

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    Solution:

    It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992.
    Let the event where in 2 students have the same birthday E.
    Given, P(E) = 0.992
    We know that,
    P(E) + P(not E) = 1
    P(not E) = 1 – 0.992
    P(not E) = 0.008
    Hence, the probability that the students have the same birthday is 0.008.
    Therefore, option 1 is correct.
     
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