The real mathematics:
Let O_best function https://datingrating.net/dating-by-age/ as the arrival purchase regarding the candidate that is best (Mr/Mrs. Ideal, The One, X, the candidate whoever ranking is 1, etc.) We have no idea if this individual will get to our life, but we all know for certain that from the next, pre-determined N individuals we will see, X will show up at purchase O_best = i.
Let S(n,k) function as the occasion of success in selecting X among N prospects with this technique for M = k, that is, checking out and categorically rejecting the first k-1 applicants, then settling utilizing the very first individual whose ranking is preferable to all you need seen thus far.