Determine the probability that at least 2 people in a room of 13 people share the samebirthday, ignoring leap years and assuming each birthday is equallylikely, by answering the followingquestions:

(a) Compute the probability that 13 people have different birthdays.

(b) The complement of "13 people have differentbirthdays" is"at least 2 share abirthday". Use this information to compute the probability that at least 2 people out of 13 share the same birthday.

(a) The probability that 13 people have different birthdays is?

(b) The probability that at least 2 people share a birthday is ?