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?
+118608 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.
