You may find more optimism in the fact that as we increase the range of our dating life with N, the optimal probability of finding Mr/Mrs
There are some interesting observations here: as we increase the number of candidates N that we consider, not only does the optimal probability decreases and see to converge, so does the optimal ratio M/N. 37.
You may wonder: “Hang on a minute, won't I achieve the highest probability of finding the best person at a very small value of N?” That's partially right. Based on the simulation, at N = 3, we can achieve the probability of success of up to 66% by simply choosing the third person every time. So does that mean we should always aim to date at most 3 people and settle on the third?
Well, you could. The problem is that this strategy will only maximize the chance of finding the best among these 3 people, which, for some cases, is enough. But most of us probably want to consider a wider range of option than the first 3 viable options that enter our life.