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
explanation: The document contains a math question about the probability of 4 randomly selected people all having different birthdays, along with a detailed answer that calculates the probability and rounds it to four decimal places.
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distilabel_metadata.content: # 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about the probability of 4 randomly selected people all having different birthdays, along with a detailed answer that calculates the probability and rounds it to four decimal places.
  
  Label: question-and-answer