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 :)
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.
we want to know what proportion of this has all there pieces greater than 1 unit.
That will be where
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.