A stick has a length of 5 units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than 1 unit?

Coolio Mar 31, 2020

#1**-1 **

Although this is a math forum, I highly recommend using the built-in forum provided by the AoPS classes. These will often give you the best responses, help, and advice.

Impasta Mar 31, 2020

#2**-1 **

I have answered this question about a dozen times.

I am sure if you search you will find my answer.

**You must use probability contour mapping.**

Cal, this is a nice project for you, as you love to research.

Maybe you, or someone else, can find the answer.

Melody Mar 31, 2020

#3**+1 **

On it, Melody!

Try looking at this: https://mathoverflow.net/questions/2014/if-you-break-a-stick-at-two-points-chosen-uniformly-the-probability-the-three-r

CalTheGreat Apr 1, 2020