For all possible contiguous 10 day periods within a single calendar year, what is the probability that at least one of the 10 day periods contains six birthdays if there are 60 birthdays randomly distributed within the year?
Trying to solve this quick little problem, think of this in general terms (ie don't take leap years, birth patterns into effect).
Unnecessary details: I did it via a program I wrote quickly and got a probability of .9446 over 10000 runs. However my boss(guy who gave me the problem) says that he got something around.09446 doing a similar solution a factor of ten off, I was wondering if anybody here could figure out a similar solution. Thanks