A Deal with the Devil for £163m
You have made a deal with the devil… You will win the lottery if you can decide the optimal position in the queue to buy the £163m Euromillions winning lottery ticket.
There are some conditions. Ain’t that always the way when making this sort of deal!
You will win, if your position in the queue is the first position whose birthday is the same as someone who has already bought a ticket in the queue ahead of you. You can get into the line at any position, after all, the devil is in favour of queue barging!
Assuming that you don’t know anyone else’s birthday, that birthdays
are distributed randomly throughtout the (non-leap)year, etc., what position in line gives you the greatest chance of being the first duplicate birthday?
Your very soul depends on this…