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?
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.
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.
On it, Melody!