## How knowing some Statistical theory may make finding Mr. Right slightly easier?

This is part 1 of an exploration to love and dating from a romantic hopeful. Check out part 2 here.

(If you don’t agree, that’s awesome. You probably don’t spend that much time reading and writing Medium posts like me T – T)

Nowadays, we spend countless hours every week clicking through profiles and messaging people we find attractive on Tinder or Subtle Asian Dating.

And when you finally ‘get it’, you know how to take the perfect selfies for your Tinder’s profile and you have no trouble inviting that cute girl in your Korean class to dinner, you would think that it shouldn’t be hard to find Mr/Mrs. Perfect to settle down. Nope. Many of us just can’t find the right match.

Are our expectations too high? Are we too selfish? Or we simply destined to not meeting The One? Don’t worry! It’s not your fault. You just have not done your math.

It’s a tricky question, so we have to turn to the mathematics and statisticians. And they have an answer: 37%.

It means out of all the people you could possibly date, let’s say you foresee yourself dating 100 people in the next 10 years (more like 10 for me but that’s another discussion), you should see about the first 37% or 37 people, and then settle for the first person after that who’s better than the ones you saw before (or wait for the very last one if such a person doesn’t turn up)

Let’s say we foresee N potential people who will come to our life sequentially and they are ranked according to some ‘matching/best-partner statistics’. Of course, you want to end up with the person who ranks 1st – let’s call this person X.

Before we explore the optimal dating policy, let’s start with a simple approach. What if you are so desperate to get matched on Tinder or Top Sites dating advice to get dates that you decide to settle/marry the first person that comes along? What is the chance of this person being X?

And as n gets larger the larger timeframe we consider, this probability will tend to zero. Alright, you probably will not date 10,000 people in 20 years but even the small odds of 1/100 is enough to make me feel that this is not a great dating policy.

We do what people actually do in dating. That is, instead of committing to the first option that comes along, we want to meet a couple of potential partners, explore the quality of our dating fields and start to settle down. So there’s an exploring part and a settling-down part to this dating game.

To formularize the strategy: you date M out of N people, reject all of them and immediately settle with the next person who is better than all you have seen so far. Our task is to find the optimal value of M. As I said earlier, the optimal rule value of M is M = 0.37N. But how do we get to this number?

## Finding the optimal dating strategy for 2019 with probability theory

I decide to run a small simulation in R to see if there’s an indication of an optimal value of M.

So it seems that with N = 100, the graph does indicate a value of M that would maximize the probability that we find the best partner using our strategy. The value is M = 35 with a probability of 39.4%, quite close to the magic value I said earlier, which is M = 37.