# Breaking a stick randomly at two points: Expected value of the largest piece. [duplicate]

If a stick of unit length is broken randomly at two points, to make 3 pieces of stick. What is the expected value of the largest stick.

Is there an elegant solution to this problem?

Thanks.

• Try using $2$ uniformly distributed random variables. Then the lengths are given by $X$, $Y-X$ and $1-Y$ (assuming $X<Y$). There might be a simpler model, I'll revisit later. – Ennar Aug 12 '15 at 7:08
• Similar question was answered here: math.stackexchange.com/q/14190/99255 – srnoren Aug 12 '15 at 7:08