# How to Use Math to Choose a Spouse

Chris Matyszczyk explains that the laws of probability indicate when you should settle for one prospective mate, and when you should keep on looking. There's a point of diminishing returns in a succession of relationships when you should marry before your prospects start to get worse:

So for a long time, mathematicians believed that, given 100 choices (each of which has to be chosen or discarded after the interview) you should discard the first 50 and then choose the next best one. (The assumption also is that if you don't choose the first 99, you have to choose number 100, which, again, seems rather realistic to me. I know so many people who have chosen the last resort out of perceived necessity rather than, say, happiness.)

The "Discard 50 then Choose the Next Best" method apparently gives you a 25 percent chance of choosing the best candidate.

However, then along came John Gilbert and Frederick Mosteller of Harvard University. I do not believe they were married. However, they came upon the idea that the magic number is, in fact, 37. Yes, you should stop after 37 candidates and choose the next best one. This number was apparently derived by taking the number 100 and dividing by e, the base of the natural logarithms (around 2.72). And it apparently increases your chances of the best choice to 37 percent.

Link via The Corner

Image: U.S. Department of Energy

It's NOT the number you date or whom you reject: It's the *Probability* of success or compatibility or whatever. Gather 100 candidates of suitable age and attainment, mix them up, count them off and carry #37 to the haystack.

Even so, as stated, you're only a little better than 1-in-3 by this method, a bit worse than 'real-world,' where the marriage breakup rate is ~ 1-in-2
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I think that trying to put a number figure on how many people you should turn down before looking for a mate is crazy. Now yes I do agree that you must have a number of relationships in order to find out what makes you happy but to think that at a certain number you should change your outlook and coose one is pretty stupid in my eyes.
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30 SEVEN???
Okay- so should I now acutely divorce my wife that I 've been with harmoniously for the past 20 years to date some 34 ladies more...?
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@ Puzzled Monkey

I believe what you're seeing tested empirically in figures 2 and 5 of that paper is this ...
http://en.wikipedia.org/wiki/Secretary_problem#Cardinal_payoff_variant

For that problem, the optimal skip pool, given N candidates, is sqrt(N):
http://dx.doi.org/10.1016/j.jmp.2005.11.003

So for N=100, it's 10, and for N=1000, it's ~32.
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I would take half the pile of applicants and immediately discard them as I don't want to mate with those who have bad luck.
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