Final answer:
The probability that two friends born in 2000 have the same birthday is 1/365. This assumes a non-leap year with 365 possible birthdays and requires the second friend to have a birthday on the same specific day as that of the first friend.
Step-by-step explanation:
The probability that two friends born in the year 2000 have the same birthday is 1/365 (ignoring leap years), since there are 365 days in a non-leap year and the first friend's birthday can be on any day, while the second friend must be born on that same specific day.In a leap year, which has 366 days, the probability would be slightly less, at 1/366. However, since we are not considering leap years in this calculation, we'll use the standard 365-day year for our calculation.
To calculate the probability of both friends sharing the same birthday, we consider that after one friend's birthday is established, the second friend has only one day out of the 365 possible days to have been born on to match the first friend's birthday, thus leading to the calcultion of 1 chance in 365, or 1/365. This is a straightforward calculation without the need for complex probability theories or plagiarism free content as the concept is commonly understood in the context of the 'birthday paradox', which refers to the probability that in a set of randomly chosen people some pair of them will have the same birthday.