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?

Guest Dec 18, 2019

#1**+1 **

Let the pieces be x, y and 5-(x+y)

where

0

0

also

0<5-(x+y)<5

-5<-(x+y)<0

0

y< -x+5, y>-x

Draw that up on a number plane and you get a triangle with an area of 12.5 that is your sample space.

Now graph the favourable area. And work out what it is.

x>1

y>1

5-(x+y)>1

You can take over from here.

Melody Dec 18, 2019