text: # What is the probability that 4 randomly selected people all have different birthdays? Round the answer to four decimal places
  
  thilina-g | College Teacher | (Level 1) Educator
  
  Posted on
  
  There are 365 out of 365 ways to select the birthday of first person. Therefore the number of ways that we can choose a birthday for second person is 364 out of 365.
  
  Therefore the probability of two persons not having the same birthday is,
  
  `P(2) = 365/365 xx364/365`
  
  For four people,
  
  `P(4) = 365/365 xx 364/365 xx 363/365 xx 362/365`
  
  `P(4) = 0.9836`
  
  Therefore the probability of 4 people having different birthdays is 0.9836