On another thread, someone said “if on a specified day, everyone on earth kills one other person, we would cut the global population in half in one day”.
Now, I am fairly certain the comment was made in jest, but it got me to wondering. That figure seems somehow wrong, how would one calculate the actual outcome?
Presumably, random, unscheduled murders would take place throughout the day, so there is a non-zero probability that when Susan kills Edmund around tea-time, Edmund may have already killed Lucy around Lunchtime, but Lucy had slain Peter over breakfast. On the other hand, when Polly ended Eustace’s life as the sun set, Eustace had not yet had a chance to kill anyone else yet. It remains to be seen whether Polly survives her movie date with Diggory later on.
So one killing could be the apex of a series of connected killings or it could be a singular event. Is there an elaborate or simple way to determine how many people will see the following day’s sunrise?