Q). Find the probability-
1) If you and your friend's birthday is in the same day.
2) Or a different day.

Hi, 
The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the "right" birthday is 365/365, or 100%.

The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365


Now not on same day   = 1-1/365 = 364/365