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Fortunately, the princess was very good at maths, and knew the best strategy for deciding which frog to kiss. Better, but it received the same treatment from the princess.Let's change the fairytale slightly so that the 100 frogs are now labelled with numbers drawn randomly from those that lie between 0 and 1, with the handsome prince having the highest number. Well, the princess now has much more information to use.There is a highest and a lowest number (0 and 1), and the frogs' numbers are uniformly, but randomly, distributed between the two. It turns out that the best strategy is, as anyone aged over 25 knows, to start with high standards, and then lower them as the frogs keep on coming.The answer is that she should kick about 37% of the frogs into the pond. If you can count and you know that the integral of 1/x is ln x (now you know), then you should be able to follow the logical argument that leads to this conclusion.If you haven't worked it out by now, I've been talking about partner choice.
When you were small, you probably heard the fairytale The Frog Prince.