Krishna
0

Step 1: Understand the question and verify that the given events are complementary events or not.

            GIVEN: The probability of 2 students not having the same birthday = 0.992


              Event 1: The probability of 2 students not having the same birthday P(E)

              Event 2: The probability of 2 students having the same birthday P(\bar{E})

                 These two events are complement to each other


Step 2: Calculate the probability of 2 students having the same birthday

                We know that;

                    Sum of complementary events = 1

                             P(E) + P(\bar{E}) = 1

                             P(\bar{E}) = 1 - P(E)

                             P(\bar{E}) = 1 - 0.992

                             P(\bar{E}) = 0.008


    Therefore; the probability of 2 students having the same birthday  = 0.008