Final answer:
The probability question concerns finding the chance that 15 individuals have unique birthdates, treated as a probability problem without replacement.
Step-by-step explanation:
The question posed is about calculating the probability that 15 randomly selected individuals have distinct birthdates, assuming there are 365 possible distinct birthdates. Considering each birthdate is equally likely, the situation describes a classical probability problem without replacement.
To find the probability of each of the 15 individuals having a unique birthdate, we would use the formula for permutations of 365 taken 15 at a time, divided by the total number of ways to pick 15 dates from 365 with replacement.
The formula for the first person would be 365/365, for the second it would be 364/365, and so on until the 15th, which would be 351/365. Multiplying these probabilities together gives us the final probability.
The complete question is: there are only 365 possible distinct birth dates. every possible set of 15 birth dates is equiprobable. there are 15 randomly selected individuals. What is the probability that each of the 15 individu is: