Can You Solve the Winning Question?

Probability and Statistics is one of the more modern branches of Mathematics (several hundred years old as opposed to tens of thousands of years old).  Having a firm grasp of this new-ish branch of Mathematics, helped a 13 year old win a national math competition last week.

Luke Robitaille won by answering the question below in less than a second. See if you can solve it.  Please comment below with your mathematical thinking.

We will reveal how you can solve the problem on Monday!

Here is a clue, when you are trying to find the probability it helps to consider the possibilities. Enjoy!

In a barn, 100 chicks sit peacefully in a circle. Suddenly, each chick randomly pecks the chick immediately to its left or right. What is the expected number of unpecked chicks?

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