# Flying Toupees!

An infinite number of men, all named Ronald Frump and all wearing toupees, line up in a row (a very long row!)

The first man's toupee flies off his head.

If the first man's toupee flies off his head, there is a $$\frac{1}{2}$$ probability that the second man's toupee will fly off his head.

If the second man's toupee flies off his head, there is a $$\frac{1}{3}$$ probability that the third man's toupee will fly off his head.

And so on...

In fact, in general rule is that...

If the $$(n-1)^\text{th}$$ man's toupee flies off his head, then there is a $$\frac{1}{n}$$ probability that the $$n^\text{th}$$ man's toupee will fly off his head.

So, now for the question...

What is the expected number of toupees that will fly off heads?