The comic is https://www.smbccomics.com/comic/percent
The mathematics is called the Secretary Problem. https://en.wikipedia.org/wiki/Secretary_problem for reference. I was just looking at it because I wanted to figure out the probability that you wind up with #2 or #3 or some other lower ranked choice. Obviously #2 is much less than 37%, but how much less?
There are two solution approaches. I can't remember the direct analytic solution, but the other approach is based on permutations. For example, it is (if I remember correctly) also true that the #1 choice is within the first n/e choices 1/e percent of the time (again about 37%), in which case you are screwed and cannot get #1 since you discarded those candidates. that leaves 63% to be tested, but you subtract the 37% for success at #1, which leaves about 26%. The cases in that 26% where you are going to get the #2 option are the permutations where #2 was not in the first n/e but appears before #1 in the remainder. Basically the same for #3 and down.
So does anyone know the solution?
It's called the Secretary Problem
Re: It's called the Secretary Problem
Offtopic to what you wrote, but related to this comic:
Tim Minchin's song "If I didn't have you"
https://www.youtube.com/watch?v=Zn6gV2sdl38
Tim Minchin's song "If I didn't have you"
https://www.youtube.com/watch?v=Zn6gV2sdl38

 Posts: 24
 Joined: Thu Nov 07, 2013 3:19 pm
Re: It's called the Secretary Problem
The way I was told it, the solution to the Secretary Problem is always:
Hire the one with the biggest boobs.
Boy were workplaces toxically sexist back then. Yes, worse than today.
Hire the one with the biggest boobs.
Boy were workplaces toxically sexist back then. Yes, worse than today.