Determine the probability that at least 2 people in a room of 15 people share the same? birthday, ignoring leap years and assuming each birthday is equally? likely, by answering the following questions

Statistics Oct 22, 2020

Determine the probability that at least 2 people in a room of 15 people share the same? birthday, ignoring leap years and assuming each birthday is equally? likely, by answering the following questions.
?(a) Compute the probability that 15 people have different birthdays.
?(b) The complement of ?"15 people have different? birthdays" is? "at least 2 share a? birthday". Use this information to compute the probability that at least 2 people out of 15 share the same birthday.