A stick is 5 units long. It is broken at two points, chosen at random. What is the probability that all three pieces are longer than 1 unit?

Thanks so much for help in advance :)

somehelpplease Mar 8, 2020

#1**0 **

You need to use a contour probability map for this.

Let the three pieces be x,y and 5-x-y units long where

Sorry there is a problem with LaTex today. I will add my latex as a picture.

I think that about covers the original constrains. Graph this region on a number plane.

Now,

we want to know what proportion of this has all there pieces greater than 1 unit.

That will be where

x>1

y>1

5-x-y>1

Graph it and see what you get.

Note: I have not answered this question. I have just given you an outline of the method that I would use.

Melody Mar 8, 2020