We human face many choices but cannot decide which choice is better than other ones.
The problem called Sultan’s Dowry mathematically suggests a way to optimize the best choice. Imagine you have only one chance to propose or reject to girls among Sultan’s 100 daughters and you cannot go back to the previous daughter once you declined. If we have to select one after a single meeting with each daughter, what numberth daughter is the best choice? According to Sultan’s Dowry problem, we have to remember the best daughter among first 37 girls. Let us call this best girl as Daughter A. Picking a girl who is better than this Daughter A is the best strategy.
The number 37 comes from 100/e (e is 2.718…, called Euler’s number) and this is approximately 37. Besides this situation, the problem of Sultan’s Daughter can be applied to our every day’s choice. For instance, if we can meet 10 partners during our whole life, the best companion should be chosen after meeting at least three of them.
With this interesting probability in mind, how about applying the answer to this problem on many decisions in your daily life? When you do not want to waste too much of your time on the important decision, this might offer a better answer!